/* Copyright (C) 2021 Alessandro Languasco */ /**************** A. LANGUASCO **************************/ /************************* Building the S approach ****************/ \\ Global variables: global(Deninger_matrix_S_DIF); global(log_gamma_matrix); global(ak_matrix); global(tab); \\global variable used to initialise sumnum global(phir); global(phirhalf); global(pir); global(defaultprecision); /************* COMPUTATION OF LvR; q(PRIME) ******* ************* FOR r1<=q<=r2 ************* ************* Using the S-function (decimated in frequency) ********************/ {gamma_K(r1,r2,defaultprecision)=local(minutes, millisec, seconds, rows, columns, elaptimefinalcomp, elaptimeprecomp, Seven, Sodd, EK, qminusone, qminustwo, correctionderlog, logtwopi, qminusonehalf, qminusonehalfminusone, twoPi, twoPiI, u, conjv, chi, denom, numer, i, I1qfile, EKplus, r, quot, flag4, flag6, flag8, flag10, flag12, Eulerpluslogtwopi, I2qfile, I3qfile, I4qfile, I5qfile, I6qfile, Irvalue, correctionfactor, gammaK2plus, gammaK2, gammaK3plus, gammaK3, gammaK4plus, gammaK4, gammaK5plus, gammaK5, gammaK6plus, gammaK6, \\Bclasssum4, Bclasssum8, Aclasssum4, Aclasssum6, Bclasssum6, Aclasssum8, Aclasssum10, Bclasssum10, Aclasssum12 ); \\ minutes,millisec,seconds: used just to compute the elapsed computation time; local variables \\ defaultprecision: used to fix the precision used in the computations; global variable print("************ A. LANGUASCO *************"); print("********* COMPUTATION of LvR; **********"); print("********* Theorem 4 CLM **********"); print("******* GAMMAK_r CONSTANTS IN ONE INTERVAL ********"); print("********* with the S-FUNCTION (decimated in frequency) **********"); \\ precision setting default(realprecision,defaultprecision); default(format,f); \\default(parisize, 5*10^9); r1=nextprime(r1); r2=precprime(r2); if (r1>r2, print("error: no odd primes in this interval. END PROGRAM");return); if (r1 < 3, r1=3); print("Interval=[",r1,",",r2,"]"); phir=r2-1; phirhalf=phir/2; pir=primepi(r2)-primepi(r1)+1; tab = sumnuminit(); \\ needed for the sumnum functions gettime(); print("Performing precomputations of S(a/q) (decimated in frequency)"); print("and log(Gamma(a/q)) for this interval"); precompS_DIF(r1,r2); elaptimeprecomp=gettime(); twoPi=2*Pi; logtwopi=log(twoPi); twoPiI=twoPi*I; Eulerpluslogtwopi = Euler + logtwopi; \\ uncomment to obtain the outputfile I1qfile = fileopen("I1qfile.csv", "w"); filewrite(I1qfile,"q;gammaKr;gammaK2r;gammaKcomb;Ir;Irprime"); I2qfile = fileopen("I2qfile.csv", "w"); filewrite(I2qfile,"q;gammaKr;gammaK2r;gammaKcomb;Ir;Irprime"); I3qfile = fileopen("I3qfile.csv", "w"); filewrite(I3qfile,"q;gammaKr;gammaK2r;gammaKcomb;Ir;Irprime"); I4qfile = fileopen("I4qfile.csv", "w"); filewrite(I4qfile,"q;gammaKr;gammaK2r;gammaKcomb;Ir;Irprime"); I5qfile = fileopen("I5qfile.csv", "w"); filewrite(I5qfile,"q;gammaKr;gammaK2r;gammaKcomb;Ir;Irprime"); I6qfile = fileopen("I6qfile.csv", "w"); filewrite(I6qfile,"q;gammaKr;gammaK2r;gammaKcomb;Ir;Irprime"); i = 0; print("---------"); gettime(); print("Starting computations"); print("---------"); forprime(q=r1,r2, i+=1; Seven = 0; Sodd = 0; Aclasssum4 = 0; \\Bclasssum4 = 0; Aclasssum6 = 0; Bclasssum6 = 0; Aclasssum8 = 0; \\Bclasssum8 = 0; Aclasssum10 = 0; Bclasssum10 = 0; Aclasssum12 = 0; \\Bclasssum12 = 0; EK = 0; EKplus = 0; gammaK2 = 0; gammaK2plus = 0; gammaK3 = 0; gammaK3plus = 0; gammaK4 = 0; gammaK4plus = 0; gammaK5 = 0; gammaK5plus = 0; gammaK6 = 0; gammaK6plus = 0; qminusone = q-1; qminustwo = qminusone-1; qminusonehalf = qminusone/2; qminusonehalfminusone = qminusonehalf-1; correctionderlog = Eulerpluslogtwopi * qminustwo; if(qminusone % 4 == 0, flag4 = 1, flag4 = 0); if(qminusone % 6 == 0, flag6 = 1, flag6 = 0); if(qminusone % 8 == 0, flag8 = 1, flag8 = 0); if(qminusone % 10 == 0, flag10 = 1, flag10 = 0); if(qminusone % 12 == 0, flag12 = 1, flag12 = 0); u = twoPiI/qminusone; \\ even characters for (m = 1, qminusonehalfminusone, numer = 0; denom = 0; \\ v=exp(u*2*m); \\ j=2m+1; j-1 even (j odd) means an even character conjv = exp(-u*2*m); \\ conjugate of v chi = 1; \\ k = 0 ; chi = v^0 for (k = 0, qminusonehalfminusone, \\chi=v^(-k) built via subsequent products numer += chi * Deninger_matrix_S_DIF[i,k+1]; \\ DeningerS(g^k%q/q) \\ the output is -(S(a/q)+S(1-a/q)) denom += chi * log_gamma_matrix[i,k+1]; \\log(gamma(g^k%q/q)) chi= chi * conjv; ); for (k = qminusonehalf, qminustwo, denom += chi * log_gamma_matrix[i,k+1]; \\log(gamma(g^k%q/q)) chi= chi * conjv; ); quot = numer/denom; \\if (flag4 == 1 && (2*m)%4 == 0, Aclasssum4 += quot); \\if (flag4 == 1 && (2*m)%4 == 2, Bclasssum4 += quot); if (flag4 == 1, \\ if ( (2*m)%4 == 0, Aclasssum4 += quot , Bclasssum4 += quot); if ( m%2 == 0, Aclasssum4 += quot); ); if (flag6 == 1 && m%3 == 0, Aclasssum6 += quot); \\if (flag8 == 1 && (2*m)%8 == 0, Aclasssum8 += quot); \\if (flag8 == 1 && (2*m)%8 == 4, Bclasssum8 += quot); if (flag8 == 1, if ( m%4 == 0, Aclasssum8 += quot); \\if ((2*m)%8 == 4, Bclasssum8 += quot); ); if (flag10 == 1 && (2*m)%10 == 0, Aclasssum10 += quot); if (flag12 == 1, if ( m%6 == 0, Aclasssum12 += quot); \\if ((2*m)%12 == 6, Bclasssum12 += quot); ); Seven += numer/denom ); Seven = Seven/2; EKplus = qminusonehalf * Euler + qminusonehalfminusone * logtwopi + real(Seven); Aclasssum4 = Aclasssum4/2; \\Bclasssum4 = Bclasssum4/2; Aclasssum6 = Aclasssum6/2; Aclasssum8 = Aclasssum8/2; \\Bclasssum8 = Bclasssum8/2; Aclasssum10 = Aclasssum10/2; Aclasssum12 = Aclasssum12/2; \\Bclasssum12 = Bclasssum12/2; \\ odd characters for(m = 1, qminusonehalf, numer = 0; denom = 0; \\ v=exp(u*(2*m-1)); \\ j=2m; j-1 odd (j even) means an odd character conjv = exp(-u*(2*m-1));\\ conjugate of v chi = 1; \\ k = 0 ; chi = v^0 for (k = 0,qminustwo, \\chi=v^(-k) built via subsequent products denom += chi * ak_matrix[i,k+1]; \\ a= g^k%q numer += chi * log_gamma_matrix[i,k+1]; \\log(gamma(g^k%q/q)) chi = chi * conjv; \\print(numer); print(denom); ); quot = numer/denom; if (flag6 == 1 && (2*m-1)%3 == 0, Bclasssum6 += quot); if (flag10 == 1 && (2*m-1)%5 == 0, Bclasssum10 += quot); Sodd += quot ); Sodd = q * Sodd; EK = real(Euler + Seven + Sodd + correctionderlog); Bclasssum6 = q * Bclasssum6; Bclasssum10 = q * Bclasssum10; print("EK(",q") = ", EK); print("EK(",q")plus = ", EKplus); \\ REMARK: gammaK2 = EKplus; gammaK2plus = lambdaq; gammaK4 = gammaK2plus if(flag4 == 1, r=2; \\gammaK2 = Euler + Eulerpluslogtwopi*(qminusone/r-1)+ real(Aclasssum4+Bclasssum4); gammaK2 = EKplus; \\ REMARK : Bclasssum4 not needed print("gammaK2(",q") = ", gammaK2); gammaK2plus = Euler + Eulerpluslogtwopi *(qminusonehalf/r-1) + real(Aclasssum4); print("gammaK4(",q") = ", gammaK2plus); ); if(flag6 == 1, r=3; gammaK3 = Euler + Eulerpluslogtwopi * (qminusone/r-1) + real(Aclasssum6+Bclasssum6); print("gammaK3(",q") = ", gammaK3); gammaK3plus = Euler + Eulerpluslogtwopi * (qminusonehalf/r-1) + real(Aclasssum6); print("gammaK6(",q") = ", gammaK3plus); ); \\ REMARK: gammaK2 = EKplus; gammaK2plus = lambdaq; gammaK4 = gammaK2plus if(flag8 == 1, r=4; \\gammaK4 = Euler + Eulerpluslogtwopi * (qminusone/r-1) + real(Aclasssum8 + Bclasssum8); gammaK4 = gammaK2plus; \\ REMARK : Bclasssum8 not needed print("gammaK4(",q") = ", gammaK4); gammaK4plus = Euler + Eulerpluslogtwopi * (qminusonehalf/r-1) + real(Aclasssum8); print("gammaK8(",q") = ", gammaK4plus); ); if(flag10 == 1, r=5; gammaK5 = Euler + Eulerpluslogtwopi * (qminusone/r-1) + real(Aclasssum10 + Bclasssum10); print("gammaK5(",q") = ", gammaK5); gammaK5plus = Euler + Eulerpluslogtwopi * (qminusonehalf/r-1) + real(Aclasssum10); print("gammaK10(",q") = ", gammaK5plus); ); \\ REMARK: gammaK6 = gammaK3plus if(flag12 == 1, r=6; \\gammaK6 = Euler + Eulerpluslogtwopi * (qminusone/r-1) + real(Aclasssum12 + Bclasssum12); gammaK6 = gammaK3plus; \\ REMARK : Bclasssum12 not needed print("gammaK6(",q") = ", gammaK6); gammaK6plus = Euler + Eulerpluslogtwopi * (qminusonehalf/r-1) + real(Aclasssum12); print("gammaK12(",q") = ", gammaK6plus); ); correctionfactor = log(q)/(q-1); Irvalue = Ir(q,1,EK,EKplus); print("Theorem 4: I1(",q") = ", Irvalue ); print("Theorem 4: I1prime(",q") = ", Irvalue + correctionfactor); filewrite1(I1qfile,q); filewrite1(I1qfile,";"); filewrite1(I1qfile, EK); filewrite1(I1qfile,";"); filewrite1(I1qfile, EKplus); filewrite1(I1qfile,";"); filewrite1(I1qfile, EK - 2 * EKplus); filewrite1(I1qfile,";"); filewrite1(I1qfile, Irvalue); filewrite1(I1qfile,";"); filewrite(I1qfile, Irvalue + correctionfactor); fileflush(I1qfile); if(flag4 == 1, r = 2; Irvalue = Ir(q,r,gammaK2,gammaK2plus); print("Theorem 4: I2(",q") = ", Irvalue); print("Theorem 4: I2prime(",q") = ", Irvalue + correctionfactor); filewrite1(I2qfile,q); filewrite1(I2qfile,";"); filewrite1(I2qfile, gammaK2); filewrite1(I2qfile,";"); filewrite1(I2qfile, gammaK2plus); filewrite1(I2qfile,";"); filewrite1(I2qfile, gammaK2 - 2 * gammaK2plus); filewrite1(I2qfile,";"); filewrite1(I2qfile, Irvalue); filewrite1(I2qfile,";"); filewrite(I2qfile, Irvalue + correctionfactor); fileflush(I2qfile); ); if(flag6 == 1, r = 3; Irvalue = Ir(q,r,gammaK3,gammaK3plus); print("Theorem 4: I3(",q") = ", Irvalue); print("Theorem 4: I3prime(",q") = ", Irvalue + correctionfactor); filewrite1(I3qfile,q); filewrite1(I3qfile,";"); filewrite1(I3qfile, gammaK3); filewrite1(I3qfile,";"); filewrite1(I3qfile, gammaK3plus); filewrite1(I3qfile,";"); filewrite1(I3qfile, gammaK3 - 2 * gammaK3plus); filewrite1(I3qfile,";"); filewrite1(I3qfile, Irvalue); filewrite1(I3qfile,";"); filewrite(I3qfile, Irvalue + correctionfactor); fileflush(I3qfile); ); if(flag8 == 1, r = 4; Irvalue = Ir(q,r,gammaK4,gammaK4plus); print("Theorem 4: I4(",q") = ", Irvalue); print("Theorem 4: I4prime(",q") = ", Irvalue + correctionfactor); filewrite1(I4qfile,q); filewrite1(I4qfile,";"); filewrite1(I4qfile, gammaK4); filewrite1(I4qfile,";"); filewrite1(I4qfile, gammaK4plus); filewrite1(I4qfile,";"); filewrite1(I4qfile, gammaK4 - 2 * gammaK4plus); filewrite1(I4qfile,";"); filewrite1(I4qfile, Irvalue); filewrite1(I4qfile,";"); filewrite(I4qfile, Irvalue + correctionfactor); fileflush(I4qfile); ); if(flag10 == 1, r = 5; Irvalue = Ir(q,r,gammaK5,gammaK5plus); print("Theorem 4: I5(",q") = ", Irvalue); print("Theorem 4: I5prime(",q") = ", Irvalue + correctionfactor); filewrite1(I5qfile,q); filewrite1(I5qfile,";"); filewrite1(I5qfile, gammaK5); filewrite1(I5qfile,";"); filewrite1(I5qfile, gammaK5plus); filewrite1(I5qfile,";"); filewrite1(I5qfile, gammaK5 - 2 * gammaK5plus); filewrite1(I5qfile,";"); filewrite1(I5qfile, Irvalue); filewrite1(I5qfile,";"); filewrite(I5qfile, Irvalue + correctionfactor); fileflush(I5qfile); ); if(flag12 == 1, r = 6; Irvalue = Ir(q,r,gammaK6,gammaK6plus); print("Theorem 4: I6(",q") = ", Irvalue); print("Theorem 4: I6prime(",q") = ", Irvalue + correctionfactor); filewrite1(I6qfile,q); filewrite1(I6qfile,";"); filewrite1(I6qfile, gammaK6); filewrite1(I6qfile,";"); filewrite1(I6qfile, gammaK6plus); filewrite1(I6qfile,";"); filewrite1(I6qfile, gammaK6 - 2 * gammaK6plus); filewrite1(I6qfile,";"); filewrite1(I6qfile, Irvalue); filewrite1(I6qfile,";"); filewrite(I6qfile, Irvalue + correctionfactor); fileflush(I6qfile); ); print("---------"); ); fileclose(I1qfile); fileclose(I2qfile); fileclose(I3qfile); fileclose(I4qfile); fileclose(I5qfile); fileclose(I6qfile); elaptimefinalcomp=gettime(); seconds=floor(elaptimeprecomp/1000)%60; minutes=floor(elaptimeprecomp/60000); millisec=elaptimeprecomp- minutes*60000 - seconds*1000; \\print(elaptimeprecomp); print("Precomputation time: ", minutes, " min, ", seconds, " sec, ", millisec, " millisec"); \\print(elaptimefinalcomp); seconds=floor(elaptimefinalcomp/1000)%60; minutes=floor(elaptimefinalcomp/60000); millisec=elaptimefinalcomp- minutes*60000 - seconds*1000; print("Final step gammaK computation time (output time included): ", minutes, " min, ", seconds, " sec, ", millisec, " millisec"); seconds=floor((elaptimefinalcomp+elaptimeprecomp)/1000)%60; minutes=floor((elaptimefinalcomp+elaptimeprecomp)/60000); millisec=(elaptimefinalcomp+elaptimeprecomp)- minutes*60000 - seconds*1000; print("Total elapsed time: ", minutes, " min, ", seconds, " sec, ", millisec, " millisec"); print("****** END PROGRAM ********"); } \\ new version PMfile {Ir(q,r,G,Gplus)= local(result,rec); \\ first part of PMfile; Theorem 4 rec = 1/(q-1); result = Euler - r*log(q)*rec^2 + r*rec*(G - 2*Gplus); return(result) } /***************** the S-FUNCTION ****************/ {DeningerS_DIF(x)= local(S,n,ord,eps); \\ DECIMATION IN FREQUENCY (with Dilcher formula about log(Gamma_1) ) eps=1/100.; ord=min(x, 1-x); \\rate of decay for the integral formula of S-DIF if (ord < eps, \\ if ord is small, uses the series def of S-DIF; otherwise uses the integral formula of S-DIF \\ using log1p in the second log gives large differences with the previous def; bug ? \\ sqr(x) is a bit faster than x^2 \\ then S = sumnum(n=1, -sqr(log1p(x/n)) - sqr(log(1-x/n)) - 2*log(n)*log1p(-sqr(x/n)) , tab) - sqr(log(x)), \\ else S = (-2)*intnum(t = 0,[+oo,ord],(-3 + exp(-t) + exp(x*t) + exp((1-x)*t))*(Euler +log(t))/(t*(exp(t)-1))); ); \\ the output is -(S(a_k/q) + S(a_{k+m}/q)) return(S) } {DeningerS_DIF_tab(x,tabstandalone)= local(S,n,ord,eps); \\ DECIMATION IN FREQUENCY (with Dilcher formula about log(Gamma_1) ) eps=1/100.; ord=min(x, 1-x); \\rate of decay for the integral formula of S-DIF if (ord < eps, \\ if ord is small, uses the series def of S-DIF; otherwise uses the integral formula of S-DIF \\ using log1p in the second log gives large differences with the previous def; bug ? \\ sqr(x) is a bit faster than x^2 \\ then S = sumnum(n=1, -sqr(log1p(x/n)) - sqr(log(1-x/n)) - 2*log(n)*log1p(-sqr(x/n)) , tabstandalone) - sqr(log(x)), \\ else S = (-2)*intnum(t = 0,[+oo,ord],(-3 + exp(-t) + exp(x*t) + exp((1-x)*t))*(Euler +log(t))/(t*(exp(t)-1))); ); \\ the output is -(S(a_k/q) + S(1 - a_k/q)) return(S) } /***************** for precomputations ****************/ {precompS_DIF(r1,r2)= local(rows, columns, i, aoverq, g, g1, a, nhalf,logpi); Deninger_matrix_S_DIF=matrix(pir,phirhalf+1,rows,columns,0); ak_matrix=matrix(pir,phir+1,rows,columns,0); log_gamma_matrix=matrix(pir,phir+1,rows,columns,0); logpi = log(Pi); i = 0; forprime(q=r1,r2, print("Precomputation for q = ",q); g1=znprimroot(q); \\ needed here to sort the sequences S(a,q) log(Gamma(a/q)) using a=a=g^k%q g=lift(g1); i+=1; Deninger_matrix_S_DIF[i,phirhalf+1]=q; ak_matrix[i,phir+1]=q; log_gamma_matrix[i,phir+1]=q; a=1; nhalf= (q-1)/2; for(k = 0, nhalf-1, aoverq = a/q; \\ already sorted for the final summation log_gamma_matrix[i,k+1] = log(gamma(aoverq)); \\ using lngamma is slower !! log_gamma_matrix[i,k+nhalf+1] = -log_gamma_matrix[i,k+1] + logpi - log(sin(Pi* aoverq)); Deninger_matrix_S_DIF[i,k+1] = DeningerS_DIF(aoverq); ak_matrix[i,k+1]= a; ak_matrix[i,k+nhalf+1]= q-a; \\ g^(k+m)= g^k(q-1) \equiv - g^k \equiv q-g^k a=(a*g)%q; \\a=g^(k+1)%q ); ); \\print(Deninger_vector_S); \\return(Deninger_vector_S) } /**** RESULTS **** ******************* % gp2c-run -pmy_ -g -W gammaK.gp WARNING: gammaK_r(q)plus is an old notation for gammaK_(2r)(q) --------- optiplex --------- languasc@languasco1:~/Desktop/EK$ gp2c-run -pmy_ -g -W gammaK.gp GP/PARI CALCULATOR Version 2.13.2 (released) amd64 running linux (x86-64/GMP-6.2.0 kernel) 64-bit version compiled: Jun 24 2021, gcc version 7.5.0 (Ubuntu 7.5.0-3ubuntu1~18.04) threading engine: single (readline v7.0 enabled, extended help enabled) Copyright (C) 2000-2020 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 ?17 for how to get moral (and possibly technical) support. parisize = 8000000, primelimit = 500000 ? allocatemem *** Warning: new stack size = 2048000000 (1953.125 Mbytes). ? init_gammaK();gamma_K(3,3000,30) ************ A. LANGUASCO ************* ********* COMPUTATION of LvR; ********** ********* Theorem 4 CLM ********** ******* GAMMAK_r CONSTANTS IN ONE INTERVAL ******** ********* with the S-FUNCTION (decimated in frequency) ********** Interval=[3,2999] Performing precomputations of S(a/q) (decimated in frequency) and log(Gamma(a/q)) for this interval ? allocatemem *** Warning: new stack size = 2048000000 (1953.125 Mbytes). ? init_gammaK();gamma_K(3,3000,30) ************ A. LANGUASCO ************* ********* COMPUTATION of LvR; ********** ********* Theorem 4 CLM ********** ******* CONSTANTS IN ONE INTERVAL ******** ********* with the S-FUNCTION (decimated in frequency) ********** Interval=[3,2999] Performing precomputations of S(a/q) (decimated in frequency) and log(Gamma(a/q)) for this interval Precomputation for q = 3 Precomputation for q = 5 Precomputation for q = 7 Precomputation for q = 11 Precomputation for q = 13 Precomputation for q = 17 Precomputation for q = 19 Precomputation for q = 23 Precomputation for q = 29 Precomputation for q = 31 ..... Precomputation for q = 2969 Precomputation for q = 2971 Precomputation for q = 2999 --------- Starting computations --------- EK(3) = 0.945497280871680703239749994158 EK(3)plus = 0.577215664901532860606512090082 Theorem 4: I1(3) = 0.198095568268812928771063687848 Theorem 4: I1prime(3) = 0.747401712602867774468686306310 --------- EK(5) = 1.72062421251340476169572878865 EK(5)plus = 1.40489514161703774859755907976 gammaK2(5) = 1.40489514161703774859755907976 gammaK2(5)plus = 0.577215664901532860606512090082 Theorem 4: I1(5) = 0.204334277694233903319117289038 Theorem 4: I1prime(5) = 0.606693755802758996969307122345 Theorem 4: I2(5) = 0.501267831754256327473684623227 Theorem 4: I2prime(5) = 0.903627309862781421123874456533 --------- EK(7) = 2.08759407471733013281542471957 EK(7)plus = 1.95715645444971475271382186143 gammaK3(7) = 0.592851354895253239563134841433 gammaK3(7)plus = 0.577215664901532860606512090082 Theorem 4: I1(7) = 0.218709466175202040029326902218 Theorem 4: I1prime(7) = 0.543027824351087590880219026125 Theorem 4: I3(7) = 0.134266498359683844356121358763 Theorem 4: I3prime(7) = 0.458584856535569395207013482670 --------- EK(11) = 2.41542590428326783034287963583 EK(11)plus = 2.66207409890433174906654072453 gammaK5(11) = 0.492997360604491935512824706087 gammaK5(11)plus = 0.577215664901532860606512090082 Theorem 4: I1(11) = 0.262364482821009588386872472980 Theorem 4: I1prime(11) = 0.502154010100846642793066830776 Theorem 4: I5(11) = 0.126603916662327440553315174145 Theorem 4: I5prime(11) = 0.366393443942164494959509531942 --------- EK(13) = 2.61075773741765019699776108857 EK(13)plus = 2.89959572414790509559591203013 gammaK2(13) = 2.89959572414790509559591203013 gammaK2(13)plus = 1.55126373654266759791379042627 gammaK3(13) = 0.706057072266991534635571571852 gammaK3(13)plus = 1.04718723173231299991374416194 gammaK6(13) = 1.04718723173231299991374416194 gammaK6(13)plus = 0.577215664901532860606512090082 Theorem 4: I1(13) = 0.293700707345981078201079846319 Theorem 4: I1prime(13) = 0.507446487134442472872203799783 Theorem 4: I2(13) = 0.507769410113884278122713294104 Theorem 4: I2prime(13) = 0.721515189902345672793837247568 Theorem 4: I3(13) = 0.176699872155008895640751913712 Theorem 4: I3prime(13) = 0.390445651943470290311875867176 Theorem 4: I6(13) = 0.416720725971925802621310104236 Theorem 4: I6prime(13) = 0.630466505760387197292434057700 --------- EK(17) = 3.58197604409757765927178812919 EK(17)plus = 3.23179164885108167689200470642 gammaK2(17) = 3.23179164885108167689200470642 gammaK2(17)plus = 1.75954017828750487786897791120 gammaK4(17) = 1.75954017828750487786897791120 gammaK4(17)plus = 0.908307099257038977863668595014 Theorem 4: I1(17) = 0.386047971926026660636023515253 Theorem 4: I1prime(17) = 0.563123805929540165651619428870 Theorem 4: I2(17) = 0.519170097185602662623818711384 Theorem 4: I2prime(17) = 0.696245931189116167639414625001 Theorem 4: I4(17) = 0.518678201344011214888023291970 Theorem 4: I4prime(17) = 0.695754035347524719903619205587 --------- EK(19) = 4.79040941571428332590703936458 EK(19)plus = 3.36702810226943360422911738361 gammaK3(19) = 0.754976522069995135705585845302 gammaK3(19)plus = 1.41941168400393330284045648841 Theorem 4: I1(19) = 0.460147513117554618798084483047 Theorem 4: I1prime(19) = 0.623727456404579088798586007041 Theorem 4: I3(19) = 0.202644533364050203943873980831 Theorem 4: I3prime(19) = 0.366224476651074673944375504825 --------- EK(23) = 2.61128917618820092550739164964 EK(23)plus = 3.56605274186303485506490005633 Theorem 4: I1(23) = 0.365245720724338102440190315252 Theorem 4: I1prime(23) = 0.507768185084753997476860898516 --------- EK(29) = 3.09373170599426872316275179819 EK(29)plus = 3.77451272291818155837540505527 gammaK2(29) = 3.77451272291818155837540505527 gammaK2(29)plus = 2.35152485081565942835544918350 Theorem 4: I1(29) = 0.413803011144434497025327262559 Theorem 4: I1prime(29) = 0.534063576501094283710444120857 Theorem 4: I2(29) = 0.502301554610833068819325649367 Theorem 4: I2prime(29) = 0.622562119967492855504442507666 --------- EK(31) = 4.31444292526747509770757441042 EK(31)plus = 3.74063417131631765163927862231 gammaK3(31) = -0.150731965099300571787342293148 gammaK3(31)plus = 1.45435538233448184781083638924 gammaK5(31) = -0.611483432734591454518443563940 gammaK5(31)plus = 0.818369390936743274612146100711 Theorem 4: I1(31) = 0.467839276317710691258669146359 Theorem 4: I1prime(31) = 0.582305516467215566122974623844 Theorem 4: I3(31) = 0.259824767909755946379180035172 Theorem 4: I3prime(31) = 0.374291008059260821243485512657 Theorem 4: I5(31) = 0.183434255775269047505338549608 Theorem 4: I5prime(31) = 0.297900495924773922369644027093 --------- EK(37) = 4.30493818995760201798557926417 EK(37)plus = 3.88346103237113739135523493388 gammaK2(37) = 3.88346103237113739135523493388 gammaK2(37)plus = 2.56526490957875444016160624328 gammaK3(37) = 2.89179850675235322536112966312 gammaK3(37)plus = 1.91412160181749087955411710513 gammaK6(37) = 1.91412160181749087955411710513 gammaK6(37)plus = 1.49319073415553365287731408250 Theorem 4: I1(37) = 0.478263244064424493342265055051 Theorem 4: I1prime(37) = 0.578566519415652950130267712580 Theorem 4: I2(37) = 0.502361661449443974731179856182 Theorem 4: I2prime(37) = 0.602664936800672431519182513711 Theorem 4: I3(37) = 0.490820000548711444728586489694 Theorem 4: I3prime(37) = 0.591123275899939901516589147222 Theorem 4: I6(37) = 0.381788474594065380108426470514 Theorem 4: I6prime(37) = 0.482091749945293836896429128043 --------- EK(41) = 3.97152162792133216028257040014 EK(41)plus = 3.90067243331576039538420460289 gammaK2(41) = 3.90067243331576039538420460289 gammaK2(41)plus = 2.29962832234740606753006595545 gammaK4(41) = 2.29962832234740606753006595545 gammaK4(41)plus = 0.898378284526981068858889117799 gammaK5(41) = 3.22488523012706044135691507638 gammaK5(41)plus = 1.45543559794265981169006895878 Theorem 4: I1(41) = 0.479149101392087952466949392833 Theorem 4: I1prime(41) = 0.571988403059695647563618477159 Theorem 4: I2(41) = 0.537644489249199888867882270465 Theorem 4: I2prime(41) = 0.630483790916807583964551354791 Theorem 4: I4(41) = 0.618218910064116484078073953636 Theorem 4: I4prime(41) = 0.711058211731724179174743037961 Theorem 4: I5(41) = 0.604862506473299500966525599394 Theorem 4: I5prime(41) = 0.697701808140907196063194683720 --------- EK(43) = 4.37862750574695049413775062336 EK(43)plus = 4.37462848511375110150884874389 gammaK3(43) = 3.20605324683974879729238371541 gammaK3(43)plus = 1.50273581320053538378063076842 Theorem 4: I1(43) = 0.471020858992305687025769113428 Theorem 4: I1prime(43) = 0.560573242699295268537027268508 Theorem 4: I3(43) = 0.585146324668082035479359520332 Theorem 4: I3prime(43) = 0.674698708375071616990617675412 --------- EK(47) = 4.79939425890741613452758429988 EK(47)plus = 4.78330592374031492736088514964 Theorem 4: I1(47) = 0.471760959478055597035740111518 Theorem 4: I1prime(47) = 0.555459820384796001097065126078 --------- EK(53) = 4.33773685859709231869696082307 EK(53)plus = 4.06734814093911422415451881781 gammaK2(53) = 4.06734814093911422415451881781 gammaK2(53)plus = 2.40130214544730654985923788535 Theorem 4: I1(53) = 0.502728911231351203589510439420 Theorem 4: I1prime(53) = 0.579080678799661238861519461324 Theorem 4: I2(53) = 0.545999975766001748651282629513 Theorem 4: I2prime(53) = 0.622351743334311783923291651418 --------- EK(59) = 5.43351634538500398077634438193 EK(59)plus = 5.74977495098717868985714511291 Theorem 4: I1(59) = 0.471416769620293795033082568881 Theorem 4: I1prime(59) = 0.541719139342806199354048954635 --------- EK(61) = 5.07108519057651619595805098113 EK(61)plus = 4.71919160448137601223479232791 gammaK2(61) = 4.71919160448137601223479232791 gammaK2(61)plus = 1.54821602805345271801422232000 gammaK3(61) = -0.466850977472605089138226878977 gammaK3(61)plus = 1.70338576622172334328223443784 gammaK5(61) = 3.25808406155061611844948908643 gammaK5(61)plus = 0.472316852146190399593472983080 gammaK6(61) = 1.70338576622172334328223443784 gammaK6(61)plus = 1.24670651637220883057298539660 Theorem 4: I1(61) = 0.503285455188380788117777809642 Theorem 4: I1prime(61) = 0.571800019591269308930300961366 Theorem 4: I2(61) = 0.629023831033918929119639574622 Theorem 4: I2prime(61) = 0.697538395436807449932162726345 Theorem 4: I3(61) = 0.380108811185585845780751144763 Theorem 4: I3prime(61) = 0.448623375588474366593274296487 Theorem 4: I5(61) = 0.764293647639478427144013754128 Theorem 4: I5prime(61) = 0.832808212042366947956536905851 Theorem 4: I6(61) = 0.491361481808974576738886139375 Theorem 4: I6prime(61) = 0.559876046211863097551409291098 --------- EK(67) = 5.29213930662896260873428461831 EK(67)plus = 5.49478574409231087894450914285 gammaK3(67) = 0.0767464556316903845794689964561 gammaK3(67)plus = 2.11926555504745980163146012580 Theorem 4: I1(67) = 0.489925670272959749976603344893 Theorem 4: I1prime(67) = 0.553633134203125902395846859990 Theorem 4: I3(67) = 0.385147841338196707374571418708 Theorem 4: I3prime(67) = 0.448855305268362859793814933804 --------- EK(71) = 5.25525819281894616772013128637 EK(71)plus = 5.02459221437013823603453457463 gammaK5(71) = -1.06014239044868179051521090563 gammaK5(71)plus = 0.594821950857378356078636191235 Theorem 4: I1(71) = 0.507861069719587057193092680912 Theorem 4: I1prime(71) = 0.568756496534462991783513459948 Theorem 4: I5(71) = 0.412166970688796115087733228144 Theorem 4: I5prime(71) = 0.473062397503672049678154007180 --------- EK(73) = 4.06694909044749529201648815625 EK(73)plus = 5.56638018904420607773144876527 gammaK2(73) = 5.56638018904420607773144876527 gammaK2(73)plus = 4.54565054713704097155494836702 gammaK3(73) = 0.528513497612404132887863675544 gammaK3(73)plus = 1.51956671061307233158628617585 gammaK4(73) = 4.54565054713704097155494836702 gammaK4(73)plus = 4.26727461166416014258618666052 gammaK6(73) = 1.51956671061307233158628617585 gammaK6(73)plus = 0.198867894490332925185403869023 Theorem 4: I1(73) = 0.478251762094570205263681537651 Theorem 4: I1prime(73) = 0.537841476554964526501071938448 Theorem 4: I2(73) = 0.477645925465692022089405468706 Theorem 4: I2prime(73) = 0.537235639926086343326795869503 Theorem 4: I3(73) = 0.470123596648443908459757961876 Theorem 4: I3prime(73) = 0.529713311108838229697148362674 Theorem 4: I4(73) = 0.352299643198662103114577903703 Theorem 4: I4prime(73) = 0.411889357659056424351968304501 Theorem 4: I6(73) = 0.665735765499200540604686093166 Theorem 4: I6prime(73) = 0.725325479959594861842076493964 --------- EK(79) = 4.99827631817068010789431392945 EK(79)plus = 4.31392816983842153234814442952 gammaK3(79) = 1.50430225308293569366011907576 gammaK3(79)plus = 2.39474925606377842189518158289 Theorem 4: I1(79) = 0.529964401007721596286208508549 Theorem 4: I1prime(79) = 0.585982963218837256467912938568 Theorem 4: I3(79) = 0.448707402545542983286821762388 Theorem 4: I3prime(79) = 0.504725964756658643468526192407 --------- EK(83) = 3.03313611343607418716403819105 EK(83)plus = 4.06119890648015486954960478374 Theorem 4: I1(83) = 0.514494323442760714089236729420 Theorem 4: I1prime(83) = 0.568382623537841176570644927265 --------- EK(89) = 4.16409079888983276880841110372 EK(89)plus = 5.44834851555434719261902953243 gammaK2(89) = 5.44834851555434719261902953243 gammaK2(89)plus = 5.07683223451649186585193328448 gammaK4(89) = 5.07683223451649186585193328448 gammaK4(89)plus = 3.95766546355309985171612370645 Theorem 4: I1(89) = 0.500129148268656832444822157732 Theorem 4: I1prime(89) = 0.551136379742885694243888243421 Theorem 4: I2(89) = 0.469117410698058646950059746396 Theorem 4: I2prime(89) = 0.520124642172287508749125832085 Theorem 4: I4(89) = 0.445874486534990283361994807623 Theorem 4: I4prime(89) = 0.496881718009219145161060893312 --------- EK(97) = 4.89124074040389666830751468857 EK(97)plus = 4.44563411256346738186380452664 gammaK2(97) = 4.44563411256346738186380452664 gammaK2(97)plus = 4.10542001124412299887571330143 gammaK3(97) = 2.09662737768036026575514459776 gammaK3(97)plus = 3.18373876530139323164923119027 gammaK4(97) = 4.10542001124412299887571330143 gammaK4(97)plus = 3.28460595214343505410020912217 gammaK6(97) = 3.18373876530139323164923119027 gammaK6(97)plus = 2.84239337220984254237448924140 Theorem 4: I1(97) = 0.535052324025674023802861289232 Theorem 4: I1prime(97) = 0.582705563385084261533243806125 Theorem 4: I2(97) = 0.497781099291445592822803661059 Theorem 4: I2prime(97) = 0.545434338650855830553186177952 Theorem 4: I3(97) = 0.442262433892725472004208955717 Theorem 4: I3prime(97) = 0.489915673252135709734591472610 Theorem 4: I4(97) = 0.472572117718109637812550112591 Theorem 4: I4prime(97) = 0.520225357077519875542932629484 Theorem 4: I6(97) = 0.417921838746676479929628976994 Theorem 4: I6prime(97) = 0.465575078106086717660011493886 --------- EK(101) = 5.29701289150966971887860032739 EK(101)plus = 5.93364557387726998305789899164 gammaK2(101) = 5.93364557387726998305789899164 gammaK2(101)plus = 5.34689212808364035596475992773 gammaK5(101) = 4.55696518850615129321134550644 gammaK5(101)plus = 3.09434027686167008893236626840 Theorem 4: I1(101) = 0.511051370287400032189051693697 Theorem 4: I1prime(101) = 0.557202575455812626697893676366 Theorem 4: I2(101) = 0.481089867152364394138902833153 Theorem 4: I2prime(101) = 0.527241072320776988647744815822 Theorem 4: I5(101) = 0.493322336382252786648400639431 Theorem 4: I5prime(101) = 0.539473541550665381157242622100 --------- EK(103) = 5.14433955125208822113330503220 EK(103)plus = 5.53312508630999898815400644939 gammaK3(103) = 4.94456101455515257752216321063 gammaK3(103)plus = 3.77967671139084488191620913045 Theorem 4: I1(103) = 0.518712241951921515854629275328 Theorem 4: I1prime(103) = 0.564150761444368925371968513711 Theorem 4: I3(103) = 0.498973578792150960729229905122 Theorem 4: I3prime(103) = 0.544412098284598370246569143505 --------- EK(107) = 5.45827420997024503421680245453 EK(107)plus = 5.35744691959596839332603590620 Theorem 4: I1(107) = 0.527209033579713598241663126861 Theorem 4: I1prime(107) = 0.571292324470863656480383870418 --------- EK(109) = 6.90663814626423653219469837704 EK(109)plus = 6.28639312060842026587282318484 gammaK2(109) = 6.28639312060842026587282318484 gammaK2(109)plus = 5.69352866020314267495561890116 gammaK3(109) = 4.79611273217125792949469465545 gammaK3(109)plus = 4.40517203175896500652871998622 gammaK6(109) = 4.40517203175896500652871998622 gammaK6(109)plus = 3.12368634952877780647744866173 Theorem 4: I1(109) = 0.524349123223111189168593734488 Theorem 4: I1prime(109) = 0.567787529540047704912828146082 Theorem 4: I2(109) = 0.481954505529036534684611182136 Theorem 4: I2prime(109) = 0.525392911845973050428845593731 Theorem 4: I3(109) = 0.464502616633099288403540430955 Theorem 4: I3prime(109) = 0.507941022950035804147774842549 Theorem 4: I6(109) = 0.472457938589559131597044770703 Theorem 4: I6prime(109) = 0.515896344906495647341279182298 --------- EK(113) = 4.02173038257803067578318006617 EK(113)plus = 4.71308052553071355344451609738 gammaK2(113) = 4.71308052553071355344451609738 gammaK2(113)plus = 3.92348478495142735036220475003 gammaK4(113) = 3.92348478495142735036220475003 gammaK4(113)plus = 3.71127309692046179056849587592 Theorem 4: I1(113) = 0.528584955184628145933964452176 Theorem 4: I1prime(113) = 0.570793774994559758153447769083 Theorem 4: I2(113) = 0.520499631612567275615451791518 Theorem 4: I2prime(113) = 0.562708451422498887834935108426 Theorem 4: I4(113) = 0.450741728162267580499573864414 Theorem 4: I4prime(113) = 0.492950547972199192719057181321 --------- EK(127) = 5.08859912415333449423215636240 EK(127)plus = 5.28427526641642291108714895825 gammaK3(127) = -2.79801304120940620668043846998 gammaK3(127)plus = 1.20305479269615283047814717431 Theorem 4: I1(127) = 0.533418860632190644771682329650 Theorem 4: I1prime(127) = 0.571864789889798512018090590029 Theorem 4: I3(127) = 0.452392604047739533585484921535 Theorem 4: I3prime(127) = 0.490838533305347400831893181914 --------- EK(131) = 2.83682634158837909860285797321 EK(131)plus = 4.29182422162389365669036230041 gammaK5(131) = 0.428629768979552785225883062756 gammaK5(131)plus = 1.95907768456322206307326640911 Theorem 4: I1(131) = 0.532720867828223735194365812828 Theorem 4: I1prime(131) = 0.570222385699001823995515228298 Theorem 4: I5(131) = 0.441560775747007113309519814278 Theorem 4: I5prime(131) = 0.479062293617785202110669229748 --------- EK(137) = 4.93700022614368468691962999711 EK(137)plus = 5.17281966401368126952267004684 gammaK2(137) = 5.17281966401368126952267004684 gammaK2(137)plus = 1.89225554746074988471623386641 gammaK4(137) = 1.89225554746074988471623386641 gammaK4(137)plus = 1.41554559219947824555879305166 Theorem 4: I1(137) = 0.537180257311675144732571142674 Theorem 4: I1prime(137) = 0.573356587648646651462829893615 Theorem 4: I2(137) = 0.597099962530285948744158318951 Theorem 4: I2prime(137) = 0.633276292867257455474417069892 Theorem 4: I4(137) = 0.548538842334615857279111766910 Theorem 4: I4prime(137) = 0.584715172671587364009370517851 --------- EK(139) = 5.88916863399867186726383730369 EK(139)plus = 5.15673467267785693456200640445 gammaK3(139) = 4.82250779060876633082653527400 gammaK3(139)plus = 1.87864672967046444750412542695 Theorem 4: I1(139) = 0.544896405707014771548861753775 Theorem 4: I1prime(139) = 0.580653463193469059644432658984 Theorem 4: I3(139) = 0.599595170853302059470049340406 Theorem 4: I3prime(139) = 0.635352228339756347565620245615 --------- EK(149) = 5.98342477769515981450242785739 EK(149)plus = 6.35744273145487616682151978517 gammaK2(149) = 6.35744273145487616682151978517 gammaK2(149)plus = 4.84970870332354566698200744967 Theorem 4: I1(149) = 0.531504373460804904435319478605 Theorem 4: I1prime(149) = 0.565314821473949898631214264248 Theorem 4: I2(149) = 0.531596947020379344912750064409 Theorem 4: I2prime(149) = 0.565407395033524339108644850052 --------- EK(151) = 5.04201611352872179914519461022 EK(151)plus = 5.66732269410388218441768644382 gammaK3(151) = 3.18837051110558786676413035192 gammaK3(151)plus = 4.51792352449443230948656367529 gammaK5(151) = -3.80816618051917862917922213522 gammaK5(151)plus = 0.518331941243600863009215792320 Theorem 4: I1(151) = 0.535041812855369691282853291064 Theorem 4: I1prime(151) = 0.568490345100802520141494866394 Theorem 4: I3(151) = 0.459597163498958668985159318603 Theorem 4: I3prime(151) = 0.493045695744391497843800893933 Theorem 4: I5(151) = 0.414606378393139087804635580243 Theorem 4: I5prime(151) = 0.448054910638571916663277155573 --------- EK(157) = 7.40802206572222729350845201390 EK(157)plus = 5.67766459100970078752076942990 gammaK2(157) = 5.67766459100970078752076942990 gammaK2(157)plus = 4.95851858483281943689087197746 gammaK3(157) = 5.52959885335194066155742258077 gammaK3(157)plus = -0.0616629380771204920923416084627 gammaK6(157) = -0.0616629380771204920923416084627 gammaK6(157)plus = 1.52896818439119399573434215948 Theorem 4: I1(157) = 0.551704646001643499331997544011 Theorem 4: I1prime(157) = 0.584116478087209576623179885270 Theorem 4: I2(157) = 0.522449198097154602099433155899 Theorem 4: I2prime(157) = 0.554861030182720679390615497158 Theorem 4: I3(157) = 0.685302451390390852307491387322 Theorem 4: I3prime(157) = 0.717714283475956929598673728581 Theorem 4: I6(157) = 0.455984467249799223650657925902 Theorem 4: I6prime(157) = 0.488396299335365300941840267161 --------- EK(163) = 5.92966482288720678755499913844 EK(163)plus = 5.54289611872522541669860167904 gammaK3(163) = 4.90588898313826214404411610622 gammaK3(163)plus = 3.15824005198683661021783672853 Theorem 4: I1(163) = 0.545193625907475083676146977449 Theorem 4: I1prime(163) = 0.576636528381590900553091004400 Theorem 4: I3(163) = 0.550511331136541621842280583086 Theorem 4: I3prime(163) = 0.581954233610657438719224610038 --------- EK(167) = 8.03300175268872470467583357802 EK(167)plus = 6.80394798958259907108839110755 Theorem 4: I1(167) = 0.543446234091273340148810782762 Theorem 4: I1prime(167) = 0.574277522117880298626279160935 --------- EK(173) = 3.38434753653206190344297798897 EK(173)plus = 4.74313680866654143318864467269 gammaK2(173) = 4.74313680866654143318864467269 gammaK2(173)plus = 4.67926637542105177043998486091 Theorem 4: I1(173) = 0.541565158631512802988487649382 Theorem 4: I1prime(173) = 0.571526156273941750354380093501 Theorem 4: I2(173) = 0.523199886531556220431428165742 Theorem 4: I2prime(173) = 0.553160884173985167797320609861 --------- EK(179) = 3.86236132549903008112126130282 EK(179)plus = 5.59074764196693719810304550344 Theorem 4: I1(179) = 0.535933212231186848642073335766 Theorem 4: I1prime(179) = 0.565075829117932663227341899980 --------- EK(181) = 5.14111848776848135810136664257 EK(181)plus = 5.52401113238735460988935254057 gammaK2(181) = 5.52401113238735460988935254057 gammaK2(181)plus = -1.30597941540642869584044973085 gammaK3(181) = 3.24982011094777268859812356756 gammaK3(181)plus = 3.38917198879821744836194431621 gammaK5(181) = 1.80174524128128674217814593070 gammaK5(181)plus = 2.88636123584724509880761000314 gammaK6(181) = 3.38917198879821744836194431621 gammaK6(181)plus = -1.68661451141097477887540660750 Theorem 4: I1(181) = 0.544239085367817217370439250392 Theorem 4: I1prime(181) = 0.573119624430405138186211956162 Theorem 4: I2(181) = 0.667294436280839794837117415599 Theorem 4: I2prime(181) = 0.696174975343427715652890121369 Theorem 4: I3(181) = 0.517925591473012025124153127239 Theorem 4: I3prime(181) = 0.546806130535599945939925833009 Theorem 4: I5(181) = 0.466108504638316433488377457267 Theorem 4: I5prime(181) = 0.494989043700904354304150163037 Theorem 4: I6(181) = 0.801666347320118830116411584264 Theorem 4: I6prime(181) = 0.830546886382706750932184290034 --------- EK(191) = 4.69286990201422664003552434812 EK(191)plus = 6.21621633683078754687889560801 gammaK5(191) = 1.69080498901649766822640843374 gammaK5(191)plus = -1.56789666424657119689967903352 Theorem 4: I1(191) = 0.536335631659398710022576337870 Theorem 4: I1prime(191) = 0.563979176017538867248102390250 Theorem 4: I5(191) = 0.703503948405519700206518417672 Theorem 4: I5prime(191) = 0.731147492763659857432044470052 --------- EK(193) = 5.16342219673915483320078262720 EK(193)plus = 6.33516880970302226248749231989 gammaK2(193) = 6.33516880970302226248749231989 gammaK2(193)plus = 4.35724260560602289039604350713 gammaK3(193) = 4.21878348590335507019057239800 gammaK3(193)plus = 4.11406726811222459572312176378 gammaK4(193) = 4.35724260560602289039604350713 gammaK4(193)plus = 0.475764125817049372641125199042 gammaK6(193) = 4.11406726811222459572312176378 gammaK6(193)plus = 3.17570859884783987733152202860 Theorem 4: I1(193) = 0.537974387467153853814723306514 Theorem 4: I1prime(193) = 0.565384232201033466063967739084 Theorem 4: I2(193) = 0.552145599836502619663242932510 Theorem 4: I2prime(193) = 0.579555444570382231912487365080 Theorem 4: I3(193) = 0.514141275916298896020497784424 Theorem 4: I3prime(193) = 0.541551120650178508269742216994 Theorem 4: I4(193) = 0.647597008843992121707856854176 Theorem 4: I4prime(193) = 0.675006853577871733957101286745 Theorem 4: I6(193) = 0.506441921954116149006850629895 Theorem 4: I6prime(193) = 0.533851766687995761256095062465 --------- EK(197) = 7.55148715896640647886485129372 EK(197)plus = 6.72431280547758930911931614898 gammaK2(197) = 6.72431280547758930911931614898 gammaK2(197)plus = 4.78187945992002300815769280366 Theorem 4: I1(197) = 0.546990697692074891848077040255 Theorem 4: I1prime(197) = 0.573945818757064629127565802139 Theorem 4: I2(197) = 0.547966672703293611173088026611 Theorem 4: I2prime(197) = 0.574921793768283348452576788494 --------- EK(199) = 6.47366513609320738699497459778 EK(199)plus = 4.97867314026834059118807347477 gammaK3(199) = 6.35360989319318411971132349800 gammaK3(199)plus = 4.06995989746389623008202468447 Theorem 4: I1(199) = 0.559486296178327771741067690354 Theorem 4: I1prime(199) = 0.586220158929461571717886484758 Theorem 4: I3(199) = 0.549745304833567070600003837577 Theorem 4: I3prime(199) = 0.576479167584700870576822631981 --------- EK(211) = 7.73613578424586162532810587585 EK(211)plus = 5.43928767077706865027592727891 gammaK3(211) = 5.70555759981940441995363614526 gammaK3(211)plus = 4.21933671245383296435753865957 gammaK5(211) = 2.04606639204743482231926335107 gammaK5(211)plus = 0.732685555158502153653526756575 Theorem 4: I1(211) = 0.562130309682298984001234784425 Theorem 4: I1prime(211) = 0.587615348413137395885720290451 Theorem 4: I3(211) = 0.537807081132688576025855994655 Theorem 4: I3prime(211) = 0.563292119863526987910341500681 Theorem 4: I5(211) = 0.590434956401523148776219812270 Theorem 4: I5prime(211) = 0.615919995132361560660705318296 --------- EK(223) = 7.81777971785991367471336734851 EK(223)plus = 6.97640718267880419790301145060 gammaK3(223) = 7.42635412277719087299074342864 gammaK3(223)plus = 5.83329634167489622858107398967 Theorem 4: I1(223) = 0.549470659148835264087536243197 Theorem 4: I1prime(223) = 0.573827288750006970207518699097 Theorem 4: I3(223) = 0.519586000169454843170141995399 Theorem 4: I3prime(223) = 0.543942629770626549290124451298 --------- EK(227) = 8.08053156951296218697071193757 EK(227)plus = 6.16478105833535800088839052312 Theorem 4: I1(227) = 0.558308431491024328912151039880 Theorem 4: I1prime(227) = 0.582312635108198677031679276946 --------- EK(229) = 7.16298632058099546745778115058 EK(229)plus = 5.19368182825228459062582716349 gammaK2(229) = 5.19368182825228459062582716349 gammaK2(229)plus = 3.11734603012432565429162176354 gammaK3(229) = 6.06670484306497674653236314490 gammaK3(229)plus = 5.42806227008792154244265867127 gammaK6(229) = 5.42806227008792154244265867127 gammaK6(229)plus = 3.48898125767163928830855893292 Theorem 4: I1(229) = 0.562969132226207201819319024527 Theorem 4: I1prime(229) = 0.586801246276883691505464794720 Theorem 4: I2(229) = 0.567874942567786867557007159084 Theorem 4: I2prime(229) = 0.591707056618463357243152929277 Theorem 4: I3(229) = 0.513883404228354665500734458927 Theorem 4: I3prime(229) = 0.537715518279031155186880229119 Theorem 4: I6(229) = 0.535801655446110925768075117326 Theorem 4: I6prime(229) = 0.559633769496787415454220887518 --------- EK(233) = 3.11948354485127541303115295258 EK(233)plus = 5.48268694035180653761326391137 gammaK2(233) = 5.48268694035180653761326391137 gammaK2(233)plus = 3.08419674191244428303609956589 gammaK4(233) = 3.08419674191244428303609956589 gammaK4(233)plus = 3.22649133540013800188462870820 Theorem 4: I1(233) = 0.543295896835775799849328878230 Theorem 4: I1prime(233) = 0.566791752239076233320459157862 Theorem 4: I2(233) = 0.571101851118115770417459801289 Theorem 4: I2prime(233) = 0.594597706521416203888590080921 Theorem 4: I4(233) = 0.518728047930996099327127811976 Theorem 4: I4prime(233) = 0.542223903334296532798258091609 --------- EK(239) = 3.99911017207833249512632297919 EK(239)plus = 4.89826038220509731091188200357 Theorem 4: I1(239) = 0.552760114719220264447678778024 Theorem 4: I1prime(239) = 0.575770465777756023552566020016 --------- EK(241) = 6.03752521401034215065709250935 EK(241)plus = 6.91099570349028181262249488655 gammaK2(241) = 6.91099570349028181262249488655 gammaK2(241)plus = 5.75085108157351747637638262232 gammaK3(241) = 6.69554677630080197643978744144 gammaK3(241)plus = 3.66584623695645814140105567059 gammaK4(241) = 5.75085108157351747637638262232 gammaK4(241)plus = 1.49463956720901072694167778292 gammaK5(241) = 6.13818383714203602653724571215 gammaK5(241)plus = 6.01464431248595597623122055806 gammaK6(241) = 3.66584623695645814140105567059 gammaK6(241)plus = 0.396288898783023453154235223180 Theorem 4: I1(241) = 0.544685166928506058368724559620 Theorem 4: I1prime(241) = 0.567538487484717120849834606782 Theorem 4: I2(241) = 0.538769333399758158918083920039 Theorem 4: I2prime(241) = 0.561622653955969221399193967200 Theorem 4: I3(241) = 0.568978177174428793495969165746 Theorem 4: I3prime(241) = 0.591831497730639855977079212908 Theorem 4: I4(241) = 0.622860975344854276606710706904 Theorem 4: I4prime(241) = 0.645714295901065339087820754066 Theorem 4: I5(241) = 0.454008204310156048348047393184 Theorem 4: I5prime(241) = 0.476861524866367110829157440345 Theorem 4: I6(241) = 0.648476042872387864921798969509 Theorem 4: I6prime(241) = 0.671329363428598927402909016670 --------- EK(251) = 5.04313708502347351042811119022 EK(251)plus = 5.85522475367262429906377535883 gammaK5(251) = 0.905168729921511023807818947029 gammaK5(251)plus = 2.03617031851646231212194724351 Theorem 4: I1(251) = 0.550458007965219651713534834609 Theorem 4: I1prime(251) = 0.572559819721746787258409175565 Theorem 4: I5(251) = 0.513430190524174045886893092463 Theorem 4: I5prime(251) = 0.535532002280701181431767433419 --------- EK(257) = 8.16991391232741391670225155227 EK(257)plus = 7.41413126491779482941571986652 gammaK2(257) = 7.41413126491779482941571986652 gammaK2(257)plus = 2.08137728308857005509709300451 gammaK4(257) = 2.08137728308857005509709300451 gammaK4(257)plus = -2.19863604169859436824047076949 Theorem 4: I1(257) = 0.551121818432920369612502324937 Theorem 4: I1prime(257) = 0.572797896889542321949814021479 Theorem 4: I2(257) = 0.602447700997501866597795075715 Theorem 4: I2prime(257) = 0.624123779454123818935106772257 Theorem 4: I4(257) = 0.678105872526988123719648384566 Theorem 4: I4prime(257) = 0.699781950983610076056960081108 --------- EK(263) = 7.30343624736815435414348077406 EK(263)plus = 6.88761891078185993452639437420 Theorem 4: I1(263) = 0.552432957505818509323700415128 Theorem 4: I1prime(263) = 0.573700720987413030511051278732 --------- EK(269) = 6.26034831666577102735252755712 EK(269)plus = 6.33572466741282346876839833227 gammaK2(269) = 6.33572466741282346876839833227 gammaK2(269)plus = 6.36010130778645498051550372888 Theorem 4: I1(269) = 0.553215751442989078819983853365 Theorem 4: I1prime(269) = 0.574091540172846687425282186128 Theorem 4: I2(269) = 0.529414517611309397167199347857 Theorem 4: I2prime(269) = 0.550290306341167005772497680620 --------- EK(271) = 5.97717804854803304223773905976 EK(271)plus = 4.91607375378349595312704873315 gammaK3(271) = 6.31500858058097615034990337433 gammaK3(271)plus = 0.216430906163261242863055967607 gammaK5(271) = 4.63377221787058062531201368787 gammaK5(271)plus = 4.04956315173185164709315751956 Theorem 4: I1(271) = 0.562861153615442344911251271978 Theorem 4: I1prime(271) = 0.583609741840922718615313753730 Theorem 4: I3(271) = 0.642342311346299230505620189609 Theorem 4: I3prime(271) = 0.663090899571779604209682671361 Theorem 4: I5(271) = 0.512658207978966137595801648731 Theorem 4: I5prime(271) = 0.533406796204446511299864130483 --------- EK(277) = 4.59280817714077895164777081661 EK(277)plus = 6.07306330239530923314413596279 gammaK2(277) = 6.07306330239530923314413596279 gammaK2(277)plus = 5.12118419307609740340519283643 gammaK3(277) = 5.02313042131886080898155627102 gammaK3(277)plus = 5.71496613055720612578957944976 gammaK6(277) = 5.71496613055720612578957944976 gammaK6(277)plus = 5.52059548369144512942691450753 Theorem 4: I1(277) = 0.549774739891850768549425242471 Theorem 4: I1prime(277) = 0.570151614914268661664894074172 Theorem 4: I2(277) = 0.546855650707479936934180796301 Theorem 4: I2prime(277) = 0.567232525729897830049649628003 Theorem 4: I3(277) = 0.507355026696989715653109139428 Theorem 4: I3prime(277) = 0.527731901719407608768577971129 Theorem 4: I6(277) = 0.460985192904834990472170385800 Theorem 4: I6prime(277) = 0.481362067927252883587639217501 --------- EK(281) = 4.66496432366211457505220852623 EK(281)plus = 4.99043740542558229612252801406 gammaK2(281) = 4.99043740542558229612252801406 gammaK2(281)plus = 0.375730211741553698875808900451 gammaK4(281) = 0.375730211741553698875808900451 gammaK4(281)plus = 1.66146569275750003655984886186 gammaK5(281) = 4.78408305204645527240486526260 gammaK5(281)plus = 2.86125679229915498590585970953 Theorem 4: I1(281) = 0.558158352515279445420554131679 Theorem 4: I1prime(281) = 0.578295333477185680295934982838 Theorem 4: I2(281) = 0.607350236337108351060051585525 Theorem 4: I2prime(281) = 0.627487217299014585935432436685 Theorem 4: I4(281) = 0.534825119833884966190522523305 Theorem 4: I4prime(281) = 0.554962100795791201065903374465 Theorem 4: I5(281) = 0.560098387874501415351472179232 Theorem 4: I5prime(281) = 0.580235368836407650226853030392 --------- EK(283) = 7.15028579741068251409225231188 EK(283)plus = 7.04969230270522888347459792033 gammaK3(283) = 4.98531473279968197648243113881 gammaK3(283)plus = 4.97586491684363595815965358763 Theorem 4: I1(283) = 0.552502480067349722699335589123 Theorem 4: I1prime(283) = 0.572521795307219359666165330779 Theorem 4: I3(283) = 0.524168490261879035321366283932 Theorem 4: I3prime(283) = 0.544187805501748672288196025588 --------- EK(293) = 3.38438152121953978658468259238 EK(293)plus = 5.12676122531917231941583293241 gammaK2(293) = 5.12676122531917231941583293241 gammaK2(293)plus = 4.62155008641225618469819642994 Theorem 4: I1(293) = 0.553624591013381846296110760614 Theorem 4: I1prime(293) = 0.573077236934673172686315693021 Theorem 4: I2(293) = 0.548888325220528536110821919809 Theorem 4: I2prime(293) = 0.568340971141819862501026852216 --------- EK(307) = 5.99638616034268909194376590052 EK(307)plus = 5.59862053296466830058726819013 gammaK3(307) = -12.4270288767810387037363997537 gammaK3(307)plus = -2.88162287690309548500243232921 Theorem 4: I1(307) = 0.560158246292695433388580800521 Theorem 4: I1prime(307) = 0.578873435010300652844784926558 Theorem 4: I3(307) = 0.511700975571214694398789156540 Theorem 4: I3prime(307) = 0.530416164288819913854993282577 --------- EK(311) = 6.27650703747793703973517690753 EK(311)plus = 7.41749510639980418737418662388 gammaK5(311) = 4.53909974332081067021819910850 gammaK5(311)plus = 5.80669629643542297011605460266 Theorem 4: I1(311) = 0.549547927364988663437018990592 Theorem 4: I1prime(311) = 0.568063388372018450966683492416 Theorem 4: I5(311) = 0.462815530860289875807422177201 Theorem 4: I5prime(311) = 0.481330991867319663337086679025 --------- EK(313) = 7.26045879728676041955456876473 EK(313)plus = 6.92525157029726544509255292382 gammaK2(313) = 6.92525157029726544509255292382 gammaK2(313)plus = 1.09563136777648649747594876141 gammaK3(313) = 6.58364418522989217706856675077 gammaK3(313)plus = 6.27560973370558495595587305433 gammaK4(313) = 1.09563136777648649747594876141 gammaK4(313)plus = -9.72303180733437605169864569455 gammaK6(313) = 6.27560973370558495595587305433 gammaK6(313)plus = 0.992400792527411299684399534365 Theorem 4: I1(313) = 0.556034698038628474716745834996 Theorem 4: I1prime(313) = 0.574452015957026401693280339192 Theorem 4: I2(313) = 0.607443687445288594729359018908 Theorem 4: I2prime(313) = 0.625861005363686521705893523104 Theorem 4: I3(313) = 0.519658043746728286935168687562 Theorem 4: I3prime(313) = 0.538075361665126213911703191759 Theorem 4: I4(313) = 0.840334609318543638476982675292 Theorem 4: I4prime(313) = 0.858751927236941565453517179488 Theorem 4: I6(313) = 0.659377027031001407329791695494 Theorem 4: I6prime(313) = 0.677794344949399334306326199690 --------- EK(317) = 9.21973311597306368381265734418 EK(317)plus = 7.45657478953506852594921199034 gammaK2(317) = 7.45657478953506852594921199034 gammaK2(317)plus = 5.63256703385143139336240174118 Theorem 4: I1(317) = 0.559140852130016352185092225284 Theorem 4: I1prime(317) = 0.577365224832159645268002865060 Theorem 4: I2(317) = 0.552995515212482622923863342413 Theorem 4: I2prime(317) = 0.571219887914625916006773982189 --------- EK(331) = 6.63836085241827368638751870411 EK(331)plus = 5.35100692935859689673237961635 gammaK3(331) = -5.40606614157166406076358009977 gammaK3(331)plus = -1.54278787741171195540373127839 gammaK5(331) = 6.15461372999492362954270462295 gammaK5(331)plus = 2.06246621359262770590192905728 Theorem 4: I1(331) = 0.564848285558520732982671190254 Theorem 4: I1prime(331) = 0.582430462453602741772927604920 Theorem 4: I3(331) = 0.555960459777502659163363235922 Theorem 4: I3prime(331) = 0.573542636672584667953619650587 Theorem 4: I5(331) = 0.607702015294178106196642243018 Theorem 4: I5prime(331) = 0.625284192189260114986898657683 --------- EK(337) = 7.08924792666236280878541846531 EK(337)plus = 6.28849170437311875097501431777 gammaK2(337) = 6.28849170437311875097501431777 gammaK2(337)plus = 6.02119554078940250908330579883 gammaK3(337) = 7.27333617815450990984605843593 gammaK3(337)plus = 6.64170470507464682653617797635 gammaK4(337) = 6.02119554078940250908330579883 gammaK4(337)plus = 5.93492480117976680187706979218 gammaK6(337) = 6.64170470507464682653617797635 gammaK6(337)plus = 5.79904802042119649745935339072 Theorem 4: I1(337) = 0.560831566218580991110446561775 Theorem 4: I1prime(337) = 0.578153241606534448623853902712 Theorem 4: I2(337) = 0.542863158636094528911839443530 Theorem 4: I2prime(337) = 0.560184834024047986425246784466 Theorem 4: I3(337) = 0.523399638942758421314193296710 Theorem 4: I3prime(337) = 0.540721314330711878827600637646 Theorem 4: I4(337) = 0.507382620413936615937652076672 Theorem 4: I4prime(337) = 0.524704295801890073451059417609 Theorem 4: I6(337) = 0.488399361130895367286941801761 Theorem 4: I6prime(337) = 0.505721036518848824800349142697 --------- EK(347) = 5.87597953510894414261028585598 EK(347)plus = 6.61283640945578058199124146295 Theorem 4: I1(347) = 0.555924916789537368369992879091 Theorem 4: I1prime(347) = 0.572830479737360660833442812173 --------- EK(349) = 8.37509552953334550705882970480 EK(349)plus = 8.24813562079854170872181827350 gammaK2(349) = 8.24813562079854170872181827350 gammaK2(349)plus = 7.09077076990583950266871356048 gammaK3(349) = 7.82184899878497377450680611450 gammaK3(349)plus = 5.90989905447712398325566626229 gammaK6(349) = 5.90989905447712398325566626229 gammaK6(349)plus = 5.39943838056178089616829326097 Theorem 4: I1(349) = 0.553830605615956965343125973500 Theorem 4: I1prime(349) = 0.570655524932630606616687702013 Theorem 4: I2(349) = 0.543018935945614406940482374129 Theorem 4: I2prime(349) = 0.559843855262288048214044102642 Theorem 4: I3(349) = 0.542605543957688482733425123370 Theorem 4: I3prime(349) = 0.559430463274362124006986851883 Theorem 4: I6(349) = 0.492632861005617145945227917873 Theorem 4: I6prime(349) = 0.509457780322290787218789646386 --------- EK(353) = 9.24208486310781015216963807179 EK(353)plus = 8.16000094324861580199842748745 gammaK2(353) = 8.16000094324861580199842748745 gammaK2(353)plus = 6.27293771475553656492980210898 gammaK4(353) = 6.27293771475553656492980210898 gammaK4(353)plus = 5.89435839865984701453114330294 Theorem 4: I1(353) = 0.557060599203169533774363200055 Theorem 4: I1prime(353) = 0.573726701637639126863555586751 Theorem 4: I2(353) = 0.552201229738482139464748629189 Theorem 4: I2prime(353) = 0.568867332172951732553941015886 Theorem 4: I4(353) = 0.514346969617457553138083943678 Theorem 4: I4prime(353) = 0.531013072051927146227276330374 --------- EK(359) = 5.35795205461151937427784659817 EK(359)plus = 6.22302886848426277869102802663 Theorem 4: I1(359) = 0.557370582377015082662437661399 Theorem 4: I1prime(359) = 0.573804443797373403536873675046 --------- EK(367) = 6.50829154021100638069696644928 EK(367)plus = 6.09897261982616232041681539317 gammaK3(367) = -1.49463500084205638659581107838 gammaK3(367)plus = 3.13697757020474497833971867569 Theorem 4: I1(367) = 0.561626078650498363805460710679 Theorem 4: I1prime(367) = 0.577760947087805932853601235103 Theorem 4: I3(367) = 0.513406443510640615423533492097 Theorem 4: I3prime(367) = 0.529541311947948184471674016521 --------- EK(373) = 5.81547713750139625528243633445 EK(373)plus = 6.26904712550109879171061166271 gammaK2(373) = 6.26904712550109879171061166271 gammaK2(373)plus = 4.48468177098764283462390168466 gammaK3(373) = 5.21206676323301997922522762309 gammaK3(373)plus = 2.63857270600100597469737401387 gammaK6(373) = 2.63857270600100597469737401387 gammaK6(373)plus = 2.58295701231210406018891407245 Theorem 4: I1(373) = 0.559101322602987205692584435908 Theorem 4: I1prime(373) = 0.575019544161169505534884797750 Theorem 4: I2(373) = 0.562612252869100768255009444553 Theorem 4: I2prime(373) = 0.578530474427283068097309806395 Theorem 4: I3(373) = 0.576562464334378229396739341966 Theorem 4: I3prime(373) = 0.592480685892560529239039703807 Theorem 4: I6(373) = 0.536195349737316982452919275681 Theorem 4: I6prime(373) = 0.552113571295499282295219637523 --------- EK(379) = 8.21054501870404568657915193482 EK(379)plus = 5.90204764176658997608238496772 gammaK3(379) = 6.41970928753951842692640446008 gammaK3(379)plus = 5.27155072443863111125024186552 Theorem 4: I1(379) = 0.567667363228074004620263238981 Theorem 4: I1prime(379) = 0.583375130966387301836710954810 Theorem 4: I3(379) = 0.544365665464421296378015844156 Theorem 4: I3prime(379) = 0.560073433202734593594463559985 --------- EK(383) = 8.52521730943238428686225080530 EK(383)plus = 7.15311137542671341930115747026 Theorem 4: I1(383) = 0.562041381619742209988692556941 Theorem 4: I1prime(383) = 0.577612153842728194255690081907 --------- EK(389) = 9.21592516884200731945397467570 EK(389)plus = 7.88585155545273762343662129112 gammaK2(389) = 7.88585155545273762343662129112 gammaK2(389)plus = 8.21277209886575826959066630285 Theorem 4: I1(389) = 0.560279716468754111522313951545 Theorem 4: I1prime(389) = 0.575649766323440828771923797508 Theorem 4: I2(389) = 0.533117403601875821261180537708 Theorem 4: I2prime(389) = 0.548487453456562538510790383671 --------- EK(397) = 6.56557550080899786659143800057 EK(397)plus = 6.57005219636991887583432496557 gammaK2(397) = 6.57005219636991887583432496557 gammaK2(397)plus = 6.64958861908667722142513699385 gammaK3(397) = 4.54467829924824974949823610049 gammaK3(397)plus = 5.17725577233462676597702756509 gammaK6(397) = 5.17725577233462676597702756509 gammaK6(397)plus = 4.47638518258566250060831876562 Theorem 4: I1(397) = 0.560575160249677821676150013786 Theorem 4: I1prime(397) = 0.575686110453433353022320296690 Theorem 4: I2(397) = 0.543153866962102602533976133996 Theorem 4: I2prime(397) = 0.558264817165858133880146416901 Theorem 4: I3(397) = 0.533087299783163471865587928623 Theorem 4: I3prime(397) = 0.548198249986919003211758211528 Theorem 4: I6(397) = 0.519781944552435076264303298430 Theorem 4: I6prime(397) = 0.534892894756190607610473581334 --------- EK(401) = 6.75761825661838008888433775502 EK(401)plus = 7.86993462453863015586272828917 gammaK2(401) = 7.86993462453863015586272828917 gammaK2(401)plus = 6.00836235376457376105915314087 gammaK4(401) = 6.00836235376457376105915314087 gammaK4(401)plus = 5.05614968478984428948086079128 gammaK5(401) = 4.99319326653217615826232069349 gammaK5(401)plus = -0.301286501325770915814725547074 Theorem 4: I1(401) = 0.554722575161464993991997726280 Theorem 4: I1prime(401) = 0.569707478729731416956624423998 Theorem 4: I2(401) = 0.556406789968738941660411066631 Theorem 4: I2prime(401) = 0.571391693537005364625037764349 Theorem 4: I4(401) = 0.536026445707699048197840138688 Theorem 4: I4prime(401) = 0.551011349275965471162466836407 Theorem 4: I5(401) = 0.646975431971726005193101403706 Theorem 4: I5prime(401) = 0.661960335539992428157728101425 --------- EK(409) = 5.05978183760663704607634532299 EK(409)plus = 6.55149733502985035010141086678 gammaK2(409) = 6.55149733502985035010141086678 gammaK2(409)plus = 6.01936308687650676956803452456 gammaK3(409) = -3.28566606127568775986533669116 gammaK3(409)plus = 0.855952479841416107531507050757 gammaK4(409) = 6.01936308687650676956803452456 gammaK4(409)plus = -0.142551670515701746021556607509 gammaK6(409) = 0.855952479841416107531507050757 gammaK6(409)plus = 1.84983266027507634116219512700 Theorem 4: I1(409) = 0.557465781738825652005076849443 Theorem 4: I1prime(409) = 0.572205279670303107264178619564 Theorem 4: I2(409) = 0.550245231878715994703111306002 Theorem 4: I2prime(409) = 0.564984729810193449962213076122 Theorem 4: I3(409) = 0.540360440497929938325721997709 Theorem 4: I3prime(409) = 0.555099938429407393584823767829 Theorem 4: I4(409) = 0.638879654411105731257022344685 Theorem 4: I4prime(409) = 0.653619152342583186516124114805 Theorem 4: I6(409) = 0.535179601098000301341041722827 Theorem 4: I6prime(409) = 0.549919099029477756600143492947 --------- EK(419) = 5.45092200681821431985936599665 EK(419)plus = 6.40087601794977745214175514709 Theorem 4: I1(419) = 0.559595390508341756339094189563 Theorem 4: I1prime(419) = 0.574040057780882755695632308993 --------- EK(421) = 7.82114299206786013815478569233 EK(421)plus = 6.76864467271231787956016057791 gammaK2(421) = 6.76864467271231787956016057791 gammaK2(421)plus = -4.95960108207776592949007567596 gammaK3(421) = 5.36963524615853410431250399875 gammaK3(421)plus = 4.55062661902372844506180668053 gammaK5(421) = 6.73599143589017118664576285861 gammaK5(421)plus = 3.08592052684834279675111233676 gammaK6(421) = 4.55062661902372844506180668053 gammaK6(421)plus = 0.628027612833656428236397049781 Theorem 4: I1(421) = 0.563571537343462973178943418819 Theorem 4: I1prime(421) = 0.577958758376040071792249886029 Theorem 4: I2(421) = 0.656613091643605587463307354190 Theorem 4: I2prime(421) = 0.671000312676182686076613821401 Theorem 4: I3(421) = 0.550458484809236432860623405586 Theorem 4: I3prime(421) = 0.564845705841813531473929872796 Theorem 4: I5(421) = 0.583760464439162723636633896248 Theorem 4: I5prime(421) = 0.598147685471739822249940363458 Theorem 4: I6(421) = 0.624075438791873410463307891707 Theorem 4: I6prime(421) = 0.638462659824450509076614358918 --------- EK(431) = 4.63484140285585608678912165150 EK(431)plus = 5.41515121877199104024847175189 gammaK5(431) = 5.77775669600629629297320486369 gammaK5(431)plus = 5.25267462185336793623622532580 Theorem 4: I1(431) = 0.562774808476405776100930094067 Theorem 4: I1prime(431) = 0.576882036592926119793366528500 Theorem 4: I5(431) = 0.522079620996684489406608808427 Theorem 4: I5prime(431) = 0.536186849113204833099045242861 --------- EK(433) = 6.17698712498636928129961898675 EK(433)plus = 6.68856657666544823143984101412 gammaK2(433) = 6.68856657666544823143984101412 gammaK2(433)plus = 3.65434868943079148637011126099 gammaK3(433) = 5.54150668170982483813769712965 gammaK3(433)plus = 3.93990413713630759692279001987 gammaK4(433) = 3.65434868943079148637011126099 gammaK4(433)plus = 1.29263326867865002336467925767 gammaK6(433) = 3.93990413713630759692279001987 gammaK6(433)plus = 3.81411753440424420134466287858 Theorem 4: I1(433) = 0.560516130961777854646457072944 Theorem 4: I1prime(433) = 0.574568764591413247810161435383 Theorem 4: I2(433) = 0.574279630476413554428437618461 Theorem 4: I2prime(433) = 0.588332264106048947592141980900 Theorem 4: I3(433) = 0.560879871664085459572681622912 Theorem 4: I3prime(433) = 0.574932505293720852736385985352 Theorem 4: I4(433) = 0.586984456738975972147966241779 Theorem 4: I4prime(433) = 0.601037090368611365311670604219 Theorem 4: I6(433) = 0.525793670939007635621369866475 Theorem 4: I6prime(433) = 0.539846304568643028785074228915 --------- EK(439) = 8.63093678952519978214648635867 EK(439)plus = 5.90582783977373442271418521229 gammaK3(439) = 6.94372736874934547229526891494 gammaK3(439)plus = 6.21989541403509332541893738037 Theorem 4: I1(439) = 0.569922033757255067081213105319 Theorem 4: I1prime(439) = 0.583813584928659567880284365889 Theorem 4: I3(439) = 0.539476247021448986090473205792 Theorem 4: I3prime(439) = 0.553367798192853486889544466362 --------- EK(443) = 3.14134731220664100006772655396 EK(443)plus = 5.74613291171909144845123958994 Theorem 4: I1(443) = 0.558290993254072803205767599450 Theorem 4: I1prime(443) = 0.572077350199876277500079833065 --------- EK(449) = 7.99398522695095112700560264684 EK(449)plus = 7.13966857613624604729490562295 gammaK2(449) = 7.13966857613624604729490562295 gammaK2(449)plus = 0.474514715858559693885690962350 gammaK4(449) = 0.474514715858559693885690962350 gammaK4(449)plus = 2.25359426133339626633911765004 Theorem 4: I1(449) = 0.563155433488946202603826647968 Theorem 4: I1prime(449) = 0.576787181006228020222696116251 Theorem 4: I2(449) = 0.604791590780558953650729296466 Theorem 4: I2prime(449) = 0.618423338297840771269598764749 Theorem 4: I4(449) = 0.541087936737912194031410181100 Theorem 4: I4prime(449) = 0.554719684255194011650279649383 --------- EK(457) = 9.51810536195828015865561149229 EK(457)plus = 8.01528422656048037571695351326 gammaK2(457) = 8.01528422656048037571695351326 gammaK2(457)plus = 2.47647996862804796406524957253 gammaK3(457) = 7.70866913947788503208388868689 gammaK3(457)plus = 7.48391146678822327456845672535 gammaK4(457) = 2.47647996862804796406524957253 gammaK4(457)plus = 4.35739315419557206874328236255 gammaK6(457) = 7.48391146678822327456845672535 gammaK6(457)plus = 3.34738999235293863881597485283 Theorem 4: I1(457) = 0.562904492940154953197472309116 Theorem 4: I1prime(457) = 0.576335816165800138941316895478 Theorem 4: I2(457) = 0.590588002472053646842663887371 Theorem 4: I2prime(457) = 0.604019325697698832586508473733 Theorem 4: I3(457) = 0.529369710182294658614427423305 Theorem 4: I3prime(457) = 0.542801033407939844358272009667 Theorem 4: I4(457) = 0.522375860840228111841905425706 Theorem 4: I4prime(457) = 0.535807184065873297585750012068 Theorem 4: I6(457) = 0.587422245939121029174836595784 Theorem 4: I6prime(457) = 0.600853569164766214918681182146 --------- EK(461) = 6.97682195293424723970069358130 EK(461)plus = 7.21369654842857431845127257954 gammaK2(461) = 7.21369654842857431845127257954 gammaK2(461)plus = 6.03753307683550939636097839521 gammaK5(461) = 6.64516504046957008413463724346 gammaK5(461)plus = 4.96756948650716760350899214965 Theorem 4: I1(461) = 0.560989785297338478322810651278 Theorem 4: I1prime(461) = 0.574323259303852931623620923437 Theorem 4: I2(461) = 0.556021303687406952225766461895 Theorem 4: I2prime(461) = 0.569354777693921405526576734055 Theorem 4: I5(461) = 0.541310149612931995647988640865 Theorem 4: I5prime(461) = 0.554643623619446448948798913024 --------- EK(463) = 8.05975584017706401060450062207 EK(463)plus = 7.83675334723918234260468508851 gammaK3(463) = 5.06903346284220776755683036425 gammaK3(463)plus = 6.41663589305905620829402494743 Theorem 4: I1(463) = 0.560706929018859713805751564691 Theorem 4: I1prime(463) = 0.573992052512552861152244740408 Theorem 4: I3(463) = 0.526712265896535472318345124457 Theorem 4: I3prime(463) = 0.539997389390228619664838300174 --------- EK(467) = 6.85059698627155588804538878646 EK(467)plus = 6.10341205814215231591065858015 Theorem 4: I1(467) = 0.565693311515747481377243213544 Theorem 4: I1prime(467) = 0.578882859278985458440611306439 --------- EK(479) = 6.52373941301520830304159619038 EK(479)plus = 7.41976491165423642580108161810 Theorem 4: I1(479) = 0.559791602311952884024138410850 Theorem 4: I1prime(479) = 0.572703109837917141838190038112 --------- EK(487) = 6.60934762199314051313707751533 EK(487)plus = 7.47826350800936952150882810045 gammaK3(487) = 4.79473845935246574102354128060 gammaK3(487)plus = 3.94172882470859381261036581911 Theorem 4: I1(487) = 0.560014198959605294198475158246 Theorem 4: I1prime(487) = 0.572747252710804038623845345142 Theorem 4: I3(487) = 0.558070897964397548084150605240 Theorem 4: I3prime(487) = 0.570803951715596292509520792135 --------- EK(491) = 4.80811247808254937790893291365 EK(491)plus = 6.43718610985543834883220875715 gammaK5(491) = 2.30634532590190294316299742436 gammaK5(491)plus = 3.80751852254088974475956576426 Theorem 4: I1(491) = 0.560728102562817013429257106140 Theorem 4: I1prime(491) = 0.573373906905254810528714637415 Theorem 4: I5(491) = 0.522916302416611285673291767272 Theorem 4: I5prime(491) = 0.535562106759049082772749298547 --------- EK(499) = 7.46498369900257363121273885164 EK(499)plus = 6.10280337342258525578325390511 gammaK3(499) = -0.0714058138231856604466009307131 gammaK3(499)plus = 2.33527373068751508477776469815 Theorem 4: I1(499) = 0.567671291085298587106562645588 Theorem 4: I1prime(499) = 0.580146403727369909727617045463 Theorem 4: I3(499) = 0.548574530035025106675047121848 Theorem 4: I3prime(499) = 0.561049642677096429296101521724 --------- EK(503) = 5.64600523604134724261716487430 EK(503)plus = 6.61184406168288404724382314296 Theorem 4: I1(503) = 0.562095994580399231748059841587 Theorem 4: I1prime(503) = 0.574487608465060066820607174487 --------- EK(509) = 3.64276013684404915705192260484 EK(509)plus = 6.11561077835619422717942410574 gammaK2(509) = 6.11561077835619422717942410574 gammaK2(509)plus = 6.01406329253017773681339991058 Theorem 4: I1(509) = 0.560285093999316096990607690119 Theorem 4: I1prime(509) = 0.572553692457092716563117264639 Theorem 4: I2(509) = 0.553889742046564601291473171618 Theorem 4: I2prime(509) = 0.566158340504341220863982746138 --------- EK(521) = 9.88277517933209774388626316637 EK(521)plus = 7.33203693229383329365037399993 gammaK2(521) = 7.33203693229383329365037399993 gammaK2(521)plus = 6.57888647672057745989513799237 gammaK4(521) = 6.57888647672057745989513799237 gammaK4(521)plus = 0.563988777093684633373389943696 gammaK5(521) = 1.00847397988755801799164033471 gammaK5(521)plus = -13.9168407164374815934618319055 Theorem 4: I1(521) = 0.567997724567307087065485385167 Theorem 4: I1prime(521) = 0.580028013109140484984887107680 Theorem 4: I2(521) = 0.554762717556574572052437845054 Theorem 4: I2prime(521) = 0.566793006098407969971839567567 Theorem 4: I4(521) = 0.619053192855312666723657908409 Theorem 4: I4prime(521) = 0.631083481397146064643059630922 Theorem 4: I5(521) = 0.854428406480577935673780382613 Theorem 4: I5prime(521) = 0.866458695022411333593182105125 --------- EK(523) = 6.89431635812071192021883630764 EK(523)plus = 6.96324309177835132364082795679 gammaK3(523) = 7.38734581105574207550274222196 gammaK3(523)plus = 0.158088093952886935378725453136 Theorem 4: I1(523) = 0.563721102907648257905334765992 Theorem 4: I1prime(523) = 0.575712638279420140857078335296 Theorem 4: I3(523) = 0.617785653911752379697279605866 Theorem 4: I3prime(523) = 0.629777189283524262649023175171 --------- EK(541) = 7.72042301403637929908280453721 EK(541)plus = 7.36452999603804773445069334493 gammaK2(541) = 7.36452999603804773445069334493 gammaK2(541)plus = 5.64277297994459985066289891647 gammaK3(541) = 6.33586289762405440207451084585 gammaK3(541)plus = 5.77517381695499898085291552496 gammaK5(541) = 5.97522639788662361288845173079 gammaK5(541)plus = 4.31722305599339849990045682474 gammaK6(541) = 5.77517381695499898085291552496 gammaK6(541)plus = 5.36707163391769958374292389510 Theorem 4: I1(541) = 0.564215125164151882509037451715 Theorem 4: I1prime(541) = 0.575869605310163885326760017664 Theorem 4: I2(541) = 0.562650218812654475533575693586 Theorem 4: I2prime(541) = 0.574304698958666478351298259536 Theorem 4: I3(541) = 0.548181558143577551926239630249 Theorem 4: I3prime(541) = 0.559836038289589554743962196198 Theorem 4: I5(541) = 0.552485348288142255146047418928 Theorem 4: I5prime(541) = 0.564139828434154257963769984878 Theorem 4: I6(541) = 0.521986510112350502945949258625 Theorem 4: I6prime(541) = 0.533640990258362505763671824574 --------- EK(547) = 8.49495928824527337705717942430 EK(547)plus = 6.20801854970698250318745943893 gammaK3(547) = 6.38691418394002171839779048460 gammaK3(547)plus = -2.10996864484923062062088211516 Theorem 4: I1(547) = 0.570013056072417591346180143879 Theorem 4: I1prime(547) = 0.581559665600662978169683317179 Theorem 4: I3(547) = 0.635431625693347352764842043608 Theorem 4: I3prime(547) = 0.646978235221592739588345216907 --------- EK(557) = 7.59133367582374638086997382398 EK(557)plus = 7.57553673008397507736484894811 gammaK2(557) = 7.57553673008397507736484894811 gammaK2(557)plus = 4.65478480218395267842377150117 Theorem 4: I1(557) = 0.563598558238655342031231572734 Theorem 4: I1prime(557) = 0.574970078454351896027475146361 Theorem 4: I2(557) = 0.570937231827793195737882818040 Theorem 4: I2prime(557) = 0.582308752043489749734126391667 --------- EK(563) = 7.53923379360432161746955534535 EK(563)plus = 7.01951852133796976672044111232 Theorem 4: I1(563) = 0.565630126770030001729478217211 Theorem 4: I1prime(563) = 0.576899307603018774651187891568 --------- EK(569) = 8.52201986867937683717574897427 EK(569)plus = 7.31926682101895511569503555767 gammaK2(569) = 7.31926682101895511569503555767 gammaK2(569)plus = 7.28602081459323426534362258574 gammaK4(569) = 7.28602081459323426534362258574 gammaK4(569)plus = 5.17885807635962241451468890918 Theorem 4: I1(569) = 0.566427491350582611093658994340 Theorem 4: I1prime(569) = 0.577596294931790940179895235201 Theorem 4: I2(569) = 0.551638398662981023479475308904 Theorem 4: I2prime(569) = 0.562807202244189352565711549766 Theorem 4: I4(569) = 0.555505354044439769812343136044 Theorem 4: I4prime(569) = 0.566674157625648098898579376905 --------- EK(571) = 8.03628580740207466557428414279 EK(571)plus = 8.07921043631806468495159449315 gammaK3(571) = -3.05340220355492712038621438537 gammaK3(571)plus = 1.65584243243784076906629760904 gammaK5(571) = 2.73881675237854196695585773105 gammaK5(571)plus = 4.48778526101213673952609523042 Theorem 4: I1(571) = 0.562946768698414771373873722194 Theorem 4: I1prime(571) = 0.574082539241670929648838575169 Theorem 4: I3(571) = 0.543656597327986203676018540312 Theorem 4: I3prime(571) = 0.554792367871242361950983393287 Theorem 4: I5(571) = 0.522409616303383845954132286725 Theorem 4: I5prime(571) = 0.533545386846640004229097139700 --------- EK(577) = 6.01594020469873638402529077077 EK(577)plus = 5.56220304736119192361867829940 gammaK2(577) = 5.56220304736119192361867829940 gammaK2(577)plus = 4.32791448627264959536745489847 gammaK3(577) = 5.40675282832866861032901495431 gammaK3(577)plus = 5.50775543889906315244951036134 gammaK4(577) = 4.32791448627264959536745489847 gammaK4(577)plus = 5.48811460976080292740852434993 gammaK6(577) = 5.50775543889906315244951036134 gammaK6(577)plus = 4.72944447163561148362387763771 Theorem 4: I1(577) = 0.568327637452530735563194832378 Theorem 4: I1prime(577) = 0.579365558054107297301869442286 Theorem 4: I2(577) = 0.566435582103665902867432554987 Theorem 4: I2prime(577) = 0.577473502705242464606107164896 Theorem 4: I3(577) = 0.547945894224079557188237713112 Theorem 4: I3prime(577) = 0.558983814825656118926912323021 Theorem 4: I4(577) = 0.530970160360904160459371337226 Theorem 4: I4prime(577) = 0.542008080962480722198045947135 Theorem 4: I6(577) = 0.535943045891389773350919178374 Theorem 4: I6prime(577) = 0.546980966492966335089593788283 --------- EK(587) = 9.22757383324646393809861943028 EK(587)plus = 7.47232999015791542856470273162 Theorem 4: I1(587) = 0.567440980551678822961925837139 Theorem 4: I1prime(587) = 0.578319862496777963658684029114 --------- EK(593) = 4.78653716440861185986443794691 EK(593)plus = 5.08970189786237053262886878834 gammaK2(593) = 5.08970189786237053262886878834 gammaK2(593)plus = 5.58843165982999640478222391480 gammaK4(593) = 5.58843165982999640478222391480 gammaK4(593)plus = 1.40678061742752150943068287009 Theorem 4: I1(593) = 0.568087873630137949246014635278 Theorem 4: I1prime(593) = 0.578873674979796269267208249710 Theorem 4: I2(593) = 0.556614491850359615346522993273 Theorem 4: I2prime(593) = 0.567400293200017935367716607704 Theorem 4: I4(593) = 0.595891912358460529970699012786 Theorem 4: I4prime(593) = 0.606677713708118849991892627218 --------- EK(599) = 7.47947270066397907432743110813 EK(599)plus = 7.20706942037669968102982461284 Theorem 4: I1(599) = 0.565601349588025213093026008737 Theorem 4: I1prime(599) = 0.576295766976178138425484535782 --------- EK(601) = 5.92057019517572298068954595954 EK(601)plus = 5.74486080321002274366618580075 gammaK2(601) = 5.74486080321002274366618580075 gammaK2(601)plus = 4.09143322091118204264217590203 gammaK3(601) = 5.98049104611870130615303541723 gammaK3(601)plus = -1.00250075349370649321242011901 gammaK4(601) = 4.09143322091118204264217590203 gammaK4(601)plus = -1.75252447290046601079143639748 gammaK5(601) = 3.59015573786868980604803843162 gammaK5(601)plus = 3.98355614293577981903672814735 gammaK6(601) = -1.00250075349370649321242011901 gammaK6(601)plus = -13.6295565354966241622179954012 Theorem 4: I1(601) = 0.567915972007974169741053844344 Theorem 4: I1prime(601) = 0.578580296898866182373175645189 Theorem 4: I2(601) = 0.569053431689855416092344464069 Theorem 4: I2prime(601) = 0.579717756580747428724466264913 Theorem 4: I3(601) = 0.617089806042608972006240859354 Theorem 4: I3prime(601) = 0.627754130933500984638362660199 Theorem 4: I4(601) = 0.627787783847007674283798269390 Theorem 4: I4prime(601) = 0.638452108737899686915920070234 Theorem 4: I5(601) = 0.540652157627418178567699259550 Theorem 4: I5prime(601) = 0.551316482518310191199821060394 Theorem 4: I6(601) = 0.839675144827619358792426578907 Theorem 4: I6prime(601) = 0.850339469718511371424548379751 --------- EK(607) = 7.62475613884537429463082625766 EK(607)plus = 6.44845413453951203317980961293 gammaK3(607) = 8.08065966782766549590002488231 gammaK3(607)plus = 3.49779462372168517750233373365 Theorem 4: I1(607) = 0.568498293184945567258556556009 Theorem 4: I1prime(607) = 0.579073423203195564390817236265 Theorem 4: I3(607) = 0.582534948517206351417220489759 Theorem 4: I3prime(607) = 0.593110078535456348549481170015 --------- EK(613) = 8.32707031189096333236911775310 EK(613)plus = 7.20690558424313623867572706106 gammaK2(613) = 7.20690558424313623867572706106 gammaK2(613)plus = 7.21305285935463359331555432730 gammaK3(613) = 4.36563347595566140261206192325 gammaK3(613)plus = 5.72535068681274624202465686493 gammaK6(613) = 5.72535068681274624202465686493 gammaK6(613)plus = 6.09749886333372598743811981604 Theorem 4: I1(613) = 0.567252873429309929767602296866 Theorem 4: I1prime(613) = 0.577740397834434458198059376267 Theorem 4: I2(613) = 0.553589234643783659703290395073 Theorem 4: I2prime(613) = 0.564076759048908188133747474474 Theorem 4: I3(613) = 0.542433530479596803695395870053 Theorem 4: I3prime(613) = 0.552921054884721332125852949454 Theorem 4: I6(613) = 0.513684933879377661966492091587 Theorem 4: I6prime(613) = 0.524172458284502190396949170988 --------- EK(617) = 8.60959646959650166904042976915 EK(617)plus = 7.26701488527261827584369586189 gammaK2(617) = 7.26701488527261827584369586189 gammaK2(617)plus = 5.81613417820078652424284324377 gammaK4(617) = 5.81613417820078652424284324377 gammaK4(617)plus = 3.66913164350483680675143281172 Theorem 4: I1(617) = 0.567581146584762731591489199060 Theorem 4: I1prime(617) = 0.578011128766427322198628114123 Theorem 4: I2(617) = 0.563008900442732148388170760405 Theorem 4: I2prime(617) = 0.573438882624396738995309675467 Theorem 4: I4(617) = 0.567263982492503304243738315441 Theorem 4: I4prime(617) = 0.577693964674167894850877230504 --------- EK(619) = 7.53829866620503113708657087793 EK(619)plus = 5.86937430562590333063295689351 gammaK3(619) = 7.56206051403571520704075337861 gammaK3(619)plus = 5.06367053173863782465374197013 Theorem 4: I1(619) = 0.570401989481000001006054768853 Theorem 4: I1prime(619) = 0.580803454323531709909336379517 Theorem 4: I3(619) = 0.564712354152580956960055720314 Theorem 4: I3prime(619) = 0.575113818995112665863337330978 --------- EK(631) = 7.18245391830254762655109278367 EK(631)plus = 8.40819028439527567858834794264 gammaK3(631) = -13.3618154363979654556238372568 gammaK3(631)plus = -2.39220116514429684949340882196 gammaK5(631) = 7.41634133502331322492334090775 gammaK5(631)plus = 6.09095407239332745557034419546 Theorem 4: I1(631) = 0.561907473680394076118098361959 Theorem 4: I1prime(631) = 0.572141292509824573193143977886 Theorem 4: I3(631) = 0.536322108116109992731692731850 Theorem 4: I3prime(631) = 0.546555926945540489806738347776 Theorem 4: I5(631) = 0.539312485309526732167683573423 Theorem 4: I5prime(631) = 0.549546304138957229242729189349 --------- EK(641) = 4.08853918171447303303508097636 EK(641)plus = 6.19509354395009885537686090164 gammaK2(641) = 6.19509354395009885537686090164 gammaK2(641)plus = 4.69652818299953673915462979716 gammaK4(641) = 4.69652818299953673915462979716 gammaK4(641)plus = 5.23707846538081264097839049530 gammaK5(641) = 7.26459511435045640379736009344 gammaK5(641)plus = 1.68502554763460267194817560469 Theorem 4: I1(641) = 0.564228561167607605567987276763 Theorem 4: I1prime(641) = 0.574327044694046152505226974478 Theorem 4: I2(641) = 0.567190473321609694450669470112 Theorem 4: I2prime(641) = 0.577288956848048241387909167828 Theorem 4: I4(641) = 0.541042369705979566295640897013 Theorem 4: I4prime(641) = 0.551140853232418113232880594728 Theorem 4: I5(641) = 0.607562895648054833364041536851 Theorem 4: I5prime(641) = 0.617661379174493380301281234566 --------- EK(643) = 8.57503229908101211795585585731 EK(643)plus = 8.70362279397829620684361484008 gammaK3(643) = 7.10401061477621849979670853195 gammaK3(643)plus = 5.93149962732958396091832673324 Theorem 4: I1(643) = 0.563442635048895657528982741176 Theorem 4: I1prime(643) = 0.573514511566399737571450916415 Theorem 4: I3(643) = 0.554930335385642890970612963401 Theorem 4: I3prime(643) = 0.565002211903146971013081138640 --------- EK(647) = 8.64690376884494148648361896843 EK(647)plus = 7.75575620701527807982201425431 Theorem 4: I1(647) = 0.566573826268256379524007993350 Theorem 4: I1prime(647) = 0.576592938179248485661244942600 --------- EK(653) = 4.10150594423617118786618574278 EK(653)plus = 5.87450091079712310599945131483 gammaK2(653) = 5.87450091079712310599945131483 gammaK2(653)plus = 1.16320797885339082778011755629 Theorem 4: I1(653) = 0.565471129707399798234019842629 Theorem 4: I1prime(653) = 0.575412198924081440966248295192 Theorem 4: I2(653) = 0.588068866999304823206840273364 Theorem 4: I2prime(653) = 0.598009936215986465939068725927 --------- EK(659) = 4.23385702032125789585943006671 EK(659)plus = 6.72391897632417965530139361219 Theorem 4: I1(659) = 0.563197662996049413395842535839 Theorem 4: I1prime(659) = 0.573061984477056263273052070566 --------- EK(661) = 7.44894257119077951919254265013 EK(661)plus = 6.14950916553136996107558411046 gammaK2(661) = 6.14950916553136996107558411046 gammaK2(661)plus = 5.91643311189795512185175193070 gammaK3(661) = 7.39543020949033670587720317442 gammaK3(661)plus = 6.43483903970782989695489349618 gammaK5(661) = 3.88620583218387296676679455178 gammaK5(661)plus = 5.20973879484202759878948470580 gammaK6(661) = 6.43483903970782989695489349618 gammaK6(661)plus = 6.15724834208576382258908981492 Theorem 4: I1(661) = 0.569852157657833720220289561234 Theorem 4: I1prime(661) = 0.579691178627305972168533030308 Theorem 4: I2(661) = 0.559963555570520701410826746991 Theorem 4: I2prime(661) = 0.569802576539992953359070216065 Theorem 4: I3(661) = 0.552287997215647427242962875141 Theorem 4: I3prime(661) = 0.562127018185119679191206344215 Theorem 4: I5(661) = 0.527646643852520326646205890621 Theorem 4: I5prime(661) = 0.537485664821992578594449359694 Theorem 4: I6(661) = 0.523674786124867678786770911876 Theorem 4: I6prime(661) = 0.533513807094339930735014380949 --------- EK(673) = 8.05790935790908438475253811184 EK(673)plus = 8.18414062484299355120301308329 gammaK2(673) = 8.18414062484299355120301308329 gammaK2(673)plus = 7.99677248003539550813377490993 gammaK3(673) = 6.32659952526496023862008256499 gammaK3(673)plus = 5.25874022148408232229852791186 gammaK4(673) = 7.99677248003539550813377490993 gammaK4(673)plus = 4.92532244155901101902219565902 gammaK6(673) = 5.25874022148408232229852791186 gammaK6(673)plus = 3.25350557589847035439132686848 Theorem 4: I1(673) = 0.564834620275054235690510365300 Theorem 4: I1prime(673) = 0.574524717491787461590181364057 Theorem 4: I2(673) = 0.553944550519257471645309090870 Theorem 4: I2prime(673) = 0.563634647735990697544980089627 Theorem 4: I3(673) = 0.558463115727783139035634213933 Theorem 4: I3prime(673) = 0.568153212944516364935305212689 Theorem 4: I4(673) = 0.566123030971179528726688950756 Theorem 4: I4prime(673) = 0.575813128187912754626359949512 Theorem 4: I6(673) = 0.565983870012875792638799618441 Theorem 4: I6prime(673) = 0.575673967229609018538470617197 --------- EK(677) = 7.73252380329930577478030958411 EK(677)plus = 7.11432376198421132597297621917 gammaK2(677) = 7.11432376198421132597297621917 gammaK2(677)plus = 7.13796638605644962536078710412 Theorem 4: I1(677) = 0.567591751815407472656253837436 Theorem 4: I1prime(677) = 0.577233277367052849865189772251 Theorem 4: I2(677) = 0.555998947340348442553383291491 Theorem 4: I2prime(677) = 0.565640472891993819762319226307 --------- EK(683) = 5.51788489311400490461484757638 EK(683)plus = 6.29799831507992339856907958987 Theorem 4: I1(683) = 0.566823170212966295645847232198 Theorem 4: I1prime(683) = 0.576392810769521706295968706023 --------- EK(691) = 7.58846255857382256496651077489 EK(691)plus = 5.68663974257613929379075691773 gammaK3(691) = 8.23988289850116793399414160351 gammaK3(691)plus = 6.27044150272737219287818563389 gammaK5(691) = -5.85504328422216190635805855754 gammaK5(691)plus = 0.360371258166958724792439701509 Theorem 4: I1(691) = 0.571716690276111935747236812053 Theorem 4: I1prime(691) = 0.581192255238094066032175591864 Theorem 4: I3(691) = 0.558474466327986953728046140326 Theorem 4: I3prime(691) = 0.567950031289969084012984920137 Theorem 4: I5(691) = 0.529496379644155603459933273123 Theorem 4: I5prime(691) = 0.538971944606137733744872052935 --------- EK(701) = 8.46224915909495493827213034936 EK(701)plus = 7.89094377898929919640918720754 gammaK2(701) = 7.89094377898929919640918720754 gammaK2(701)plus = 7.64254773073612157364652480108 gammaK5(701) = 0.0209792518831906637438290042300 gammaK5(701)plus = 3.20703155596278122549419433144 Theorem 4: I1(701) = 0.566745666152337789161057250910 Theorem 4: I1prime(701) = 0.576106391705244346433200605802 Theorem 4: I2(701) = 0.556062772307144716297494930798 Theorem 4: I2prime(701) = 0.565423497860051273569638285690 Theorem 4: I5(701) = 0.531483917861566586717107068557 Theorem 4: I5prime(701) = 0.540844643414473143989250423449 --------- EK(709) = 7.32388719840918244718454144419 EK(709)plus = 7.75000884675430199465694945882 gammaK2(709) = 7.75000884675430199465694945882 gammaK2(709)plus = 5.89354585708298111916506906406 gammaK3(709) = 2.58629869936675614751922891937 gammaK3(709)plus = 4.13970089869630554090155241923 gammaK6(709) = 4.13970089869630554090155241923 gammaK6(709)plus = 4.60355738667649524146393063072 Theorem 4: I1(709) = 0.565654363379666294127916479210 Theorem 4: I1prime(709) = 0.574925345761773818844251503302 Theorem 4: I2(709) = 0.565785286794770804763603831062 Theorem 4: I2prime(709) = 0.575056269176878329479938855153 Theorem 4: I3(709) = 0.553053062865905901034477297950 Theorem 4: I3prime(709) = 0.562324045248013425750812322042 Theorem 4: I6(709) = 0.534192911875780382074794769182 Theorem 4: I6prime(709) = 0.543463894257887906791129793273 --------- EK(719) = 4.46060153616772986694242385880 EK(719)plus = 5.65771196449530851079267558150 Theorem 4: I1(719) = 0.567655798941064378006822942166 Theorem 4: I1prime(719) = 0.576817165734547729940703841974 --------- EK(727) = 5.91725177320926527762418279803 EK(727)plus = 6.22466348875366672481004806997 gammaK3(727) = 2.88373866109482829667822644089 gammaK3(727)plus = 4.17294149986022973495772566708 Theorem 4: I1(727) = 0.568205815231280504186878212730 Theorem 4: I1prime(727) = 0.577281471536423092845159828390 Theorem 4: I3(727) = 0.554607317815042059937522393764 Theorem 4: I3prime(727) = 0.563682974120184648595804009424 --------- EK(733) = 8.52382293081479055958360734550 EK(733)plus = 8.41402990510184857107043496638 gammaK2(733) = 8.41402990510184857107043496638 gammaK2(733)plus = 3.97789452663950171254880111178 gammaK3(733) = 3.82607347587051962976310972391 gammaK3(733)plus = 6.06946384544023647615363252568 gammaK6(733) = 6.06946384544023647615363252568 gammaK6(733)plus = 2.85390014776908980039624302009 Theorem 4: I1(733) = 0.565858766850279900175616524817 Theorem 4: I1prime(733) = 0.574871260978540353033907711564 Theorem 4: I2(733) = 0.578443064785944294194256739143 Theorem 4: I2prime(733) = 0.587455558914204747052547925890 Theorem 4: I3(733) = 0.543109653798507394313879112565 Theorem 4: I3prime(733) = 0.552122147926767847172170299312 Theorem 4: I6(733) = 0.580106247325908241118830576138 Theorem 4: I6prime(733) = 0.589118741454168693977121762885 --------- EK(739) = 6.87719994208832378827589108414 EK(739)plus = 7.64151883421074046520553373712 gammaK3(739) = 7.57799180310715733480045018126 gammaK3(739)plus = 6.30660444017075800717063492479 Theorem 4: I1(739) = 0.565813513147442448938211370099 Theorem 4: I1prime(739) = 0.574763781333009118008966327924 Theorem 4: I3(739) = 0.556710919594947798213782111927 Theorem 4: I3prime(739) = 0.565661187780514467284537069753 --------- EK(743) = 5.92270978919515211649453485666 EK(743)plus = 5.97125688315256027476443429313 Theorem 4: I1(743) = 0.569090714401572248694951700652 Theorem 4: I1prime(743) = 0.578000008262377854038426928199 --------- EK(751) = 7.57849026870696013159974211080 EK(751)plus = 7.78326114610017657204963723782 gammaK3(751) = 5.44868010095685828462707269329 gammaK3(751)plus = -0.314628239827539533338225099758 gammaK5(751) = 5.06071519481117208159059196457 gammaK5(751)plus = 5.23776499791718539233483243479 Theorem 4: I1(751) = 0.566553184149049644794745148239 Theorem 4: I1prime(751) = 0.575381725018068491120419166109 Theorem 4: I3(751) = 0.601492097060504534626423485582 Theorem 4: I3prime(751) = 0.610320637929523380952097503453 Theorem 4: I5(751) = 0.541058042622251410277147110597 Theorem 4: I5prime(751) = 0.549886583491270256602821128467 --------- EK(757) = 8.67256251131842175845357079699 EK(757)plus = 8.32768770286436794020584795142 gammaK2(757) = 8.32768770286436794020584795142 gammaK2(757)plus = 6.62762772232579276612334080741 gammaK3(757) = -2.81250359080840935221929918552 gammaK3(757)plus = 1.81166460992090103547738641961 gammaK6(757) = 1.81166460992090103547738641961 gammaK6(757)plus = 4.45160985457815416873213425397 Theorem 4: I1(757) = 0.566644789381132334786657129230 Theorem 4: I1prime(757) = 0.575413788393615732638882427870 Theorem 4: I2(757) = 0.564156572994655344760234156320 Theorem 4: I2prime(757) = 0.572925572007138742612459454960 Theorem 4: I3(757) = 0.551641848196522166872280751498 Theorem 4: I3prime(757) = 0.560410847209005564724506050138 Theorem 4: I6(757) = 0.520863886344009918544296952090 Theorem 4: I6prime(757) = 0.529632885356493316396522250731 --------- EK(761) = 2.87319021483429535378410006884 EK(761)plus = 5.82062014024046295876239569540 gammaK2(761) = 5.82062014024046295876239569540 gammaK2(761)plus = 5.73872416133611354287989877609 gammaK4(761) = 5.73872416133611354287989877609 gammaK4(761)plus = 5.38170851615455842929051583440 gammaK5(761) = -3.47856141966912962046297774237 gammaK5(761)plus = 0.911229030599695024265385676040 Theorem 4: I1(761) = 0.565667270366821467056859595651 Theorem 4: I1prime(761) = 0.574397051100850001052064041372 Theorem 4: I2(761) = 0.562306301840570248340742073497 Theorem 4: I2prime(761) = 0.571036082574598782335946519218 Theorem 4: I4(761) = 0.550723966734653745608110314617 Theorem 4: I4prime(761) = 0.559453747468682279603314760338 Theorem 4: I5(761) = 0.542283103969937148744742658897 Theorem 4: I5prime(761) = 0.551012884703965682739947104618 --------- EK(769) = 8.76583354344829312117406592799 EK(769)plus = 7.70738541217290464524239766347 gammaK2(769) = 7.70738541217290464524239766347 gammaK2(769)plus = 7.20350457272697759203314355162 gammaK3(769) = 5.87068452713894828452872292254 gammaK3(769)plus = 3.85002216397972674376764892403 gammaK4(769) = 7.20350457272697759203314355162 gammaK4(769)plus = 2.88264464181094188169744925364 gammaK6(769) = 3.85002216397972674376764892403 gammaK6(769)plus = -5.06574886983506012417671666374 Theorem 4: I1(769) = 0.568546928256874796400909787471 Theorem 4: I1prime(769) = 0.577199390456751936992748793781 Theorem 4: I2(769) = 0.559746195642467944774700297254 Theorem 4: I2prime(769) = 0.568398657842345085366539303564 Theorem 4: I3(769) = 0.570035929499109492076830785661 Theorem 4: I3prime(769) = 0.578688391698986632668669791971 Theorem 4: I4(769) = 0.584661304624997530856753788197 Theorem 4: I4prime(769) = 0.593313766824874671448592794507 Theorem 4: I6(769) = 0.686378691787860750071584302935 Theorem 4: I6prime(769) = 0.695031153987737890663423309245 --------- EK(773) = 7.29739075656807870433052321919 EK(773)plus = 7.94002421858288405349142914672 gammaK2(773) = 7.94002421858288405349142914672 gammaK2(773)plus = 3.74095763847685930056255365750 Theorem 4: I1(773) = 0.566087074186899575751869651982 Theorem 4: I1prime(773) = 0.574701425286106080883496791311 Theorem 4: I2(773) = 0.578380158659382495184840314674 Theorem 4: I2prime(773) = 0.586994509758589000316467454003 --------- EK(787) = 8.09447433429277995950779719912 EK(787)plus = 7.81056994746827496914729848701 gammaK3(787) = 3.38177826739846387626191924644 gammaK3(787)plus = 5.52046123383380900024100080912 Theorem 4: I1(787) = 0.567628960942759381000697935895 Theorem 4: I1prime(787) = 0.576112711894944372383823352496 Theorem 4: I3(787) = 0.547949909362520115890469312264 Theorem 4: I3prime(787) = 0.556433660314705107273594728865 --------- EK(797) = 7.10588406085628205301334484450 EK(797)plus = 7.49884966482488640451811364813 gammaK2(797) = 7.49884966482488640451811364813 gammaK2(797)plus = 7.49122147878631842419855029782 Theorem 4: I1(797) = 0.567290780099636429871124206056 Theorem 4: I1prime(797) = 0.575683813615704539216997439477 Theorem 4: I2(797) = 0.558391578654638844141122994150 Theorem 4: I2prime(797) = 0.566784612170706953486996227572 --------- EK(809) = 4.12223718604432523776993649052 EK(809)plus = 6.23238489010926462125725889304 gammaK2(809) = 6.23238489010926462125725889304 gammaK2(809)plus = 3.79535335867957746727138905099 gammaK4(809) = 3.79535335867957746727138905099 gammaK4(809)plus = 2.62433366680767193390555342179 Theorem 4: I1(809) = 0.566880492285168938981911779850 Theorem 4: I1prime(809) = 0.575167372133013606914381151710 Theorem 4: I2(809) = 0.573832970081984011643101227259 Theorem 4: I2prime(809) = 0.582119849929828679575570599118 Theorem 4: I4(809) = 0.569980017105574389970511163526 Theorem 4: I4prime(809) = 0.578266896953419057902980535385 --------- EK(811) = 7.78049197339528694049438895924 EK(811)plus = 6.20402446030110746843796018685 gammaK3(811) = 6.25593380548421802538679433402 gammaK3(811)plus = 1.24881715424169890106082329682 gammaK5(811) = 7.01831860747802107743629233114 gammaK5(811)plus = 2.18471653011731701684750730201 Theorem 4: I1(811) = 0.571492422415186683057372872240 Theorem 4: I1prime(811) = 0.579761889148662501478607910109 Theorem 4: I3(811) = 0.591104665013634136180008063055 Theorem 4: I3prime(811) = 0.599374131747109954601243100923 Theorem 4: I5(811) = 0.593515764163939720022067909152 Theorem 4: I5prime(811) = 0.601785230897415538443302947021 --------- EK(821) = 7.12469153433152319503421406500 EK(821)plus = 7.77468490521663637288099673055 gammaK2(821) = 7.77468490521663637288099673055 gammaK2(821)plus = 8.25570900423266457274211139137 gammaK5(821) = 5.74459467333278004837569716995 gammaK5(821)plus = 5.59679975329363477828811061129 Theorem 4: I1(821) = 0.566931687046814111261154573644 Theorem 4: I1prime(821) = 0.575115251814439023726538656851 Theorem 4: I2(821) = 0.555886599857590622350247187313 Theorem 4: I2prime(821) = 0.564070164625215534815631270520 Theorem 4: I5(821) = 0.543940125889202894626841918522 Theorem 4: I5prime(821) = 0.552123690656827807092226001730 --------- EK(823) = 8.12485295860260451284060486614 EK(823)plus = 7.89400114393403322094019810043 gammaK3(823) = 4.87039926477749096274055677445 gammaK3(823)plus = 6.30534061128654555425735176639 Theorem 4: I1(823) = 0.567883163754758796435268404646 Theorem 4: I1prime(823) = 0.576049777137577616157786498278 Theorem 4: I3(823) = 0.548936655517670017666743240258 Theorem 4: I3prime(823) = 0.557103268900488837389261333890 --------- EK(827) = 8.57280492699400905200100728086 EK(827)plus = 7.40624236017545714127955680653 Theorem 4: I1(827) = 0.569651726973175674641073645570 Theorem 4: I1prime(827) = 0.577784662439306051535122480736 --------- EK(829) = 7.71871225864580584221701529730 EK(829)plus = 6.40668566601943708221815462904 gammaK2(829) = 6.40668566601943708221815462904 gammaK2(829)plus = 7.10313066493047584637494310935 gammaK3(829) = 2.79515722624769035009843525729 gammaK3(829)plus = 4.82283456236663327512684152534 gammaK6(829) = 4.82283456236663327512684152534 gammaK6(829)plus = 6.21916456061180755170624144400 Theorem 4: I1(829) = 0.571052892822656171731374740263 Theorem 4: I1prime(829) = 0.579169100739486238125806429563 Theorem 4: I2(829) = 0.558356505791005458005241164288 Theorem 4: I2prime(829) = 0.566472713707835524399672853587 Theorem 4: I3(829) = 0.552365563066741533553795860073 Theorem 4: I3prime(829) = 0.560481770983571599948227549372 Theorem 4: I6(829) = 0.521972108620563209195786923039 Theorem 4: I6prime(829) = 0.530088316537393275590218612339 --------- EK(839) = 8.87499465212200465091995435655 EK(839)plus = 8.09649278808096890633924246084 Theorem 4: I1(839) = 0.568473392123051405164057822844 Theorem 4: I1prime(839) = 0.576507056450577904182203203284 --------- EK(853) = 6.88991970094436755586306049167 EK(853)plus = 7.33204202884092055646805814106 gammaK2(853) = 7.33204202884092055646805814106 gammaK2(853)plus = 5.58221611848137732295069454154 gammaK3(853) = 7.80165853693634255598428593314 gammaK3(853)plus = 7.71340484632524272444037982408 gammaK6(853) = 7.71340484632524272444037982408 gammaK6(853)plus = 6.83930131652473585725928496505 Theorem 4: I1(853) = 0.568081761807614354647398772986 Theorem 4: I1prime(853) = 0.576002841088707874738889148472 Theorem 4: I2(853) = 0.568200849672887490631101711403 Theorem 4: I2prime(853) = 0.576121928953981010722592086888 Theorem 4: I3(853) = 0.550338649989577802814300948919 Theorem 4: I3prime(853) = 0.558259729270671322905791324404 Theorem 4: I6(853) = 0.535151447535298195041936875424 Theorem 4: I6prime(853) = 0.543072526816391715133427250909 --------- EK(857) = 8.45111528761183669651612476062 EK(857)plus = 8.86452846471471645459050626310 gammaK2(857) = 8.86452846471471645459050626310 gammaK2(857)plus = 8.55131372402713182896530916176 gammaK4(857) = 8.55131372402713182896530916176 gammaK4(857)plus = 7.84849383109312464030903978389 Theorem 4: I1(857) = 0.566367731289270790586981800907 Theorem 4: I1prime(857) = 0.574257261568006514640021569491 Theorem 4: I2(857) = 0.557949336598686405168677623192 Theorem 4: I2prime(857) = 0.565838866877422129221717391777 Theorem 4: I4(857) = 0.543787798226589621467699893005 Theorem 4: I4prime(857) = 0.551677328505325345520739661589 --------- EK(859) = 9.24580669868355494923596656959 EK(859)plus = 8.16703233502220633757588179317 gammaK3(859) = 8.27523107059079329497381742658 gammaK3(859)plus = 6.31261530208909521122647525921 Theorem 4: I1(859) = 0.568945114985550008709099189130 Theorem 4: I1prime(859) = 0.576818971537979210773571189639 Theorem 4: I3(859) = 0.561978345355589411901814170179 Theorem 4: I3prime(859) = 0.569852201908018613966286170689 --------- EK(863) = 7.72620548535533590614779548979 EK(863)plus = 8.20050639507017345758216947572 Theorem 4: I1(863) = 0.567142985071784201149309429048 Theorem 4: I1prime(863) = 0.574985693530117644241459779286 --------- EK(877) = 8.83312563402793595157788379249 EK(877)plus = 6.37140588734278855219079600697 gammaK2(877) = 6.37140588734278855219079600697 gammaK2(877)plus = -0.195624230140822579692940993404 gammaK3(877) = 7.04803322655718063253905784531 gammaK3(877)plus = 3.92675595566855122577958560776 gammaK6(877) = 3.92675595566855122577958560776 gammaK6(877)plus = 2.82528084769574187439285302402 Theorem 4: I1(877) = 0.572743722117019837221761667305 Theorem 4: I1prime(877) = 0.580479460692787169459423799279 Theorem 4: I2(877) = 0.592637853506666802111852308945 Theorem 4: I2prime(877) = 0.600373592082434134349514440919 Theorem 4: I3(877) = 0.574430683999629815567958064390 Theorem 4: I3prime(877) = 0.582166422575397147805620196364 Theorem 4: I6(877) = 0.565355791762500669817171113560 Theorem 4: I6prime(877) = 0.573091530338268002054833245535 --------- EK(881) = 8.22370479350006004654940462139 EK(881)plus = 9.25431146647367352996293011544 gammaK2(881) = 9.25431146647367352996293011544 gammaK2(881)plus = 7.61089354593493276841128086973 gammaK4(881) = 7.61089354593493276841128086973 gammaK4(881)plus = 7.06249787534032482731732524710 gammaK5(881) = 5.57478906558761376102170252311 gammaK5(881)plus = 2.63910779188414702890653339840 Theorem 4: I1(881) = 0.565519501393862988768599325117 Theorem 4: I1prime(881) = 0.573225248696063192755376885152 Theorem 4: I2(881) = 0.563635707236309241945497523755 Theorem 4: I2prime(881) = 0.571341454538509445932275083790 Theorem 4: I4(881) = 0.547571083301315055651011421062 Theorem 4: I4prime(881) = 0.555276830603515259637788981097 Theorem 4: I5(881) = 0.578856958847652857761181738754 Theorem 4: I5prime(881) = 0.586562706149853061747959298789 --------- EK(883) = 6.10673307672241031063673136864 EK(883)plus = 7.18137615472460117399140534751 gammaK3(883) = 1.52711301847435332684633119250 gammaK3(883)plus = 4.34112871466390420346035713620 Theorem 4: I1(883) = 0.567846379099236447927442198213 Theorem 4: I1prime(883) = 0.575537223997880393521007500799 Theorem 4: I3(883) = 0.552852279677886265281110905108 Theorem 4: I3prime(883) = 0.560543124576530210874676207694 --------- EK(887) = 8.33602191620623705467619597777 EK(887)plus = 8.10388630390772116563813071416 Theorem 4: I1(887) = 0.568322423461133080920299598506 Theorem 4: I1prime(887) = 0.575983648046132606304501685021 --------- EK(907) = 8.55107945964369876074649451920 EK(907)plus = 7.56179697411291227975886792890 gammaK3(907) = 4.08565969982246876582152289220 gammaK3(907)plus = 3.84447056222333974828824075816 Theorem 4: I1(907) = 0.569952937305392436562866732640 Theorem 4: I1prime(907) = 0.577469650826490821334319237005 Theorem 4: I3(907) = 0.565259379675886141680927947273 Theorem 4: I3prime(907) = 0.572776093196984526452380451638 --------- EK(911) = 5.89933118854775769072942946076 EK(911)plus = 6.29655522492116575919245833321 gammaK5(911) = -22.2687546827929398060505277921 gammaK5(911)plus = -8.57207873655088481622656242513 Theorem 4: I1(911) = 0.569851634385079144700839542433 Theorem 4: I1prime(911) = 0.577340143063386791207370697803 Theorem 4: I5(911) = 0.549017391723678586869677287351 Theorem 4: I5prime(911) = 0.556505900401986233376208442720 --------- EK(919) = 7.30312335218212959262563576101 EK(919)plus = 7.61793098271159055134101433239 gammaK3(919) = 4.96087625216960298174863875735 gammaK3(919)plus = -4.49626123440931393276838702898 Theorem 4: I1(919) = 0.568566240732911056821071849501 Theorem 4: I1prime(919) = 0.575999014286675421798819799429 Theorem 4: I3(919) = 0.622790717017331770679412955656 Theorem 4: I3prime(919) = 0.630223490571096135657160905584 --------- EK(929) = 8.00956549780235645433138889885 EK(929)plus = 8.44037348046377480227655330334 gammaK2(929) = 8.44037348046377480227655330334 gammaK2(929)plus = 7.94858159950431150446043692213 gammaK4(929) = 7.94858159950431150446043692213 gammaK4(929)plus = 5.48589407967157585649366732091 Theorem 4: I1(929) = 0.567648266405370608309763607958 Theorem 4: I1prime(929) = 0.575012607718747589470637311350 Theorem 4: I2(929) = 0.561129125979424616667276757659 Theorem 4: I2prime(929) = 0.568493467292801597828150461051 Theorem 4: I4(929) = 0.564152859293118131340616523604 Theorem 4: I4prime(929) = 0.571517200606495112501490226995 --------- EK(937) = 6.76760297485186826339525521122 EK(937)plus = 6.26868335071269207516664039288 gammaK2(937) = 6.26868335071269207516664039288 gammaK2(937)plus = 6.58706533350871748465181866055 gammaK3(937) = 6.60483704238646712491767130549 gammaK3(937)plus = 6.55913445016500305404606813176 gammaK4(937) = 6.58706533350871748465181866055 gammaK4(937)plus = -0.366691852679271717910672267420 gammaK6(937) = 6.55913445016500305404606813176 gammaK6(937)plus = 6.37156467132998199127171577083 Theorem 4: I1(937) = 0.571043576989528868701102422331 Theorem 4: I1prime(937) = 0.578354136051749405226525863140 Theorem 4: I2(937) = 0.562444814740492340455524012371 Theorem 4: I2prime(937) = 0.569755373802712876980947453180 Theorem 4: I3(937) = 0.556315849462411836504909883676 Theorem 4: I3prime(937) = 0.563626408524632373030333324485 Theorem 4: I4(937) = 0.608468393447708246862699012111 Theorem 4: I4prime(937) = 0.615778952509928783388122452919 Theorem 4: I6(937) = 0.537527809442832979420468584629 Theorem 4: I6prime(937) = 0.544838368505053515945892025438 --------- EK(941) = 7.57503682467401033716196085753 EK(941)plus = 8.35219710375717354069218737947 gammaK2(941) = 8.35219710375717354069218737947 gammaK2(941)plus = -3.13969494550470610101434887472 gammaK5(941) = 4.24298530475393623362066472183 gammaK5(941)plus = 4.29726330881300609938618245159 Theorem 4: I1(941) = 0.567495833662273578217191265500 Theorem 4: I1prime(941) = 0.574779815725662279956352471778 Theorem 4: I2(941) = 0.608331203226433279842643417577 Theorem 4: I2prime(941) = 0.615615185289821981581804623856 Theorem 4: I5(941) = 0.554030423971025069825177720999 Theorem 4: I5prime(941) = 0.561314406034413771564338927277 --------- EK(947) = 6.11419483639106728073171056460 EK(947)plus = 7.95343506258159999322009500308 Theorem 4: I1(947) = 0.566856341655248713694573773324 Theorem 4: I1prime(947) = 0.574100843867918986679741985463 --------- EK(953) = 6.15571608785639932260669671323 EK(953)plus = 7.08873547766662054028688928378 gammaK2(953) = 7.08873547766662054028688928378 gammaK2(953)plus = 6.58866489761958834984546850189 gammaK4(953) = 6.58866489761958834984546850189 gammaK4(953)plus = 4.07671091543306413278864822498 Theorem 4: I1(953) = 0.568781883026200072098796193494 Theorem 4: I1prime(953) = 0.575987360866172973477247891299 Theorem 4: I2(953) = 0.564409362810330068462011040885 Theorem 4: I2prime(953) = 0.571614840650302969840462738691 Theorem 4: I4(953) = 0.570610780821337428601847049553 Theorem 4: I4prime(953) = 0.577816258661310329980298747359 --------- EK(967) = 9.54189706968944462580232252884 EK(967)plus = 7.06903903803457829125249786254 gammaK3(967) = 6.44661126637010363472079561322 gammaK3(967)plus = 6.79252454275037164517121347466 Theorem 4: I1(967) = 0.572450346936842867674461570455 Theorem 4: I1prime(967) = 0.579566494447664083332590334147 Theorem 4: I3(967) = 0.555024503514447578397568735735 Theorem 4: I3prime(967) = 0.562140651025268794055697499427 --------- EK(971) = 7.92389849214475088209795939017 EK(971)plus = 8.57420233053688525464980884097 gammaK5(971) = 8.61773206105994496135505323827 gammaK5(971)plus = 5.23745457088757481299138616342 Theorem 4: I1(971) = 0.567698554358085692614911635033 Theorem 4: I1prime(971) = 0.574789612572819017265694741576 Theorem 4: I5(971) = 0.567606035319419778187550738561 Theorem 4: I5prime(971) = 0.574697093534153102838333845105 --------- EK(977) = 8.06669865604197678199526647998 EK(977)plus = 6.60998653725128262000504514951 gammaK2(977) = 6.60998653725128262000504514951 gammaK2(977)plus = 6.50617012027684528811809243007 gammaK4(977) = 6.50617012027684528811809243007 gammaK4(977)plus = 1.97759936697664409108420996993 Theorem 4: I1(977) = 0.571928443389475473985641082380 Theorem 4: I1prime(977) = 0.578982220696896357940920780811 Theorem 4: I2(977) = 0.564081633178971735933998935556 Theorem 4: I2prime(977) = 0.571135410486392619889278633986 Theorem 4: I4(977) = 0.587641556741762927090095667098 Theorem 4: I4prime(977) = 0.594695334049183811045375365529 --------- EK(983) = 9.23998862161676666977343984902 EK(983)plus = 7.16752643384930746960928163223 Theorem 4: I1(983) = 0.572020062905966513437772983173 Theorem 4: I1prime(983) = 0.579036976470271163694452552694 --------- EK(991) = 9.18044945534348584087905159248 EK(991)plus = 8.31116994839371537655025290090 gammaK3(991) = -7.36825011335020092121706981457 gammaK3(991)plus = 0.252732610223108638296604857089 gammaK5(991) = 0.838730507442152437627792123926 gammaK5(991)plus = 4.07343255997570967214249912103 Theorem 4: I1(991) = 0.569691565063185921058415887534 Theorem 4: I1prime(991) = 0.576659963582711161452202200917 Theorem 4: I3(991) = 0.553334805106636062308924011773 Theorem 4: I3prime(991) = 0.560303203626161302702710325156 Theorem 4: I5(991) = 0.540270700199367243702214148509 Theorem 4: I5prime(991) = 0.547239098718892484096000461892 --------- EK(997) = 7.56606979610494643481738311681 EK(997)plus = 6.51370536369376708844104245736 gammaK2(997) = 6.51370536369376708844104245736 gammaK2(997)plus = 6.89865762821296675272043738568 gammaK3(997) = 6.24730750554602914883726024633 gammaK3(997)plus = 6.10269526375802593077497923594 gammaK6(997) = 6.10269526375802593077497923594 gammaK6(997)plus = 6.38237351021857577605546694158 Theorem 4: I1(997) = 0.571725430552160048848005489671 Theorem 4: I1prime(997) = 0.578657911244892818255877701995 Theorem 4: I2(997) = 0.562576021581402540955090996656 Theorem 4: I2prime(997) = 0.569508502274135310362963208980 Theorem 4: I3(997) = 0.559248750736886006744703142980 Theorem 4: I3prime(997) = 0.566181231429618776152575355304 Theorem 4: I6(997) = 0.537041061061943352228537229483 Theorem 4: I6prime(997) = 0.543973541754676121636409441807 --------- EK(1009) = 8.44213515184929927586069467274 EK(1009)plus = 6.27335408443221031721862501118 gammaK2(1009) = 6.27335408443221031721862501118 gammaK2(1009)plus = 6.36688371102983071729707697602 gammaK3(1009) = 8.58287554408297398036086591294 gammaK3(1009)plus = 6.74796108329694355020214690136 gammaK4(1009) = 6.36688371102983071729707697602 gammaK4(1009)plus = 6.00734736458697406998755684137 gammaK6(1009) = 6.74796108329694355020214690136 gammaK6(1009)plus = 6.69693025857009004713018917496 Theorem 4: I1(1009) = 0.573136860499279069567363311154 Theorem 4: I1prime(1009) = 0.579998680955979078452777121497 Theorem 4: I2(1009) = 0.564383769746603989324248314782 Theorem 4: I2prime(1009) = 0.571245590203303998209662125125 Theorem 4: I3(1009) = 0.562573080249843535818033394546 Theorem 4: I3prime(1009) = 0.569434900706543544703447204889 Theorem 4: I4(1009) = 0.554776486970577235878085699142 Theorem 4: I4prime(1009) = 0.561638307427277244763499509484 Theorem 4: I6(1009) = 0.537615895530699904934228487351 Theorem 4: I6prime(1009) = 0.544477715987399913819642297693 --------- EK(1013) = 3.19489720035726835008323163315 EK(1013)plus = 5.22279183645450415134381845614 gammaK2(1013) = 5.22279183645450415134381845614 gammaK2(1013)plus = 6.31628764251192719553111858535 Theorem 4: I1(1013) = 0.570044197430428592539310455397 Theorem 4: I1prime(1013) = 0.576882805636207923942959478038 Theorem 4: I2(1013) = 0.562558309058103750782160177558 Theorem 4: I2prime(1013) = 0.569396917263883082185809200199 --------- EK(1019) = 6.01581760050605842087959006054 EK(1019)plus = 6.66948167366678275974508011141 Theorem 4: I1(1019) = 0.570015321237482211435790337145 Theorem 4: I1prime(1019) = 0.576819424413535968619964665207 --------- EK(1021) = 7.49260773161548374647975489464 EK(1021)plus = 7.98179159410042251855627360246 gammaK2(1021) = 7.98179159410042251855627360246 gammaK2(1021)plus = 4.92642336908944165156995255821 gammaK3(1021) = 8.69655754959354741799722805720 gammaK3(1021)plus = 6.17483562836502597854196540882 gammaK5(1021) = 5.11452820935309056450702746173 gammaK5(1021)plus = 5.91164193121125859720273947835 gammaK6(1021) = 6.17483562836502597854196540882 gammaK6(1021)plus = 5.33987024515026072809870766856 Theorem 4: I1(1021) = 0.568904127508669314679944304324 Theorem 4: I1prime(1021) = 0.575696811644124869146293467784 Theorem 4: I2(1021) = 0.573533610336407534451512127970 Theorem 4: I2prime(1021) = 0.580326294471863088917861291430 Theorem 4: I3(1021) = 0.566451234338968272096061937365 Theorem 4: I3prime(1021) = 0.573243918474423826562411100825 Theorem 4: I5(1021) = 0.544296310307391281271390518227 Theorem 4: I5prime(1021) = 0.551088994442846835737739681687 Theorem 4: I6(1021) = 0.550676267571703736888148566013 Theorem 4: I6prime(1021) = 0.557468951707159291354497729473 --------- EK(1031) = 5.50378311202574998314284132414 EK(1031)plus = 7.43420573851904006765764438780 gammaK5(1031) = 4.32146444480509405450039652319 gammaK5(1031)plus = 6.56016866834766137055486557758 Theorem 4: I1(1031) = 0.568117252703920722783283769524 Theorem 4: I1prime(1031) = 0.574853451232092528536006492928 Theorem 4: I5(1031) = 0.534469989705327032973686568940 Theorem 4: I5prime(1031) = 0.541206188233498838726409292343 --------- EK(1033) = 4.78378893784572628069267583514 EK(1033)plus = 5.96115757781159230247928425832 gammaK2(1033) = 5.96115757781159230247928425832 gammaK2(1033)plus = 6.90333747499607709817529843095 gammaK3(1033) = 5.47274263078103792328755964459 gammaK3(1033)plus = 5.21310916359544170781845788382 gammaK4(1033) = 6.90333747499607709817529843095 gammaK4(1033)plus = 7.16353341809429027402569069097 gammaK6(1033) = 5.21310916359544170781845788382 gammaK6(1033)plus = 6.01107439761680890586356097152 Theorem 4: I1(1033) = 0.570291971839953537859617176717 Theorem 4: I1prime(1033) = 0.577016993612356288389275087948 Theorem 4: I2(1033) = 0.561998140882244169435192379782 Theorem 4: I2prime(1033) = 0.568723162654646919964850291013 Theorem 4: I3(1033) = 0.562796476767282138970235886494 Theorem 4: I3prime(1033) = 0.569521498539684889499893797725 Theorem 4: I4(1033) = 0.548415454114847177659203016973 Theorem 4: I4prime(1033) = 0.555140475887249928188860928203 Theorem 4: I6(1033) = 0.537589126218913216103963706533 Theorem 4: I6prime(1033) = 0.544314147991315966633621617764 --------- EK(1039) = 7.48663284365190938627103227165 EK(1039)plus = 7.99926067071786103924728464079 gammaK3(1039) = 7.24833195181718755269068839126 gammaK3(1039)plus = 7.74294992964179905758253983407 Theorem 4: I1(1039) = 0.569008940213576273719471261592 Theorem 4: I1prime(1039) = 0.575700668528700770244314224913 Theorem 4: I3(1039) = 0.553388324913724955811716615400 Theorem 4: I3prime(1039) = 0.560080053228849452336559578721 --------- EK(1049) = 5.06543668909119977296902148949 EK(1049)plus = 7.53328276528356735182664200116 gammaK2(1049) = 7.53328276528356735182664200116 gammaK2(1049)plus = 7.93504476342653318408488760937 gammaK4(1049) = 7.93504476342653318408488760937 gammaK4(1049)plus = 2.78000009396959257614842158986 Theorem 4: I1(1049) = 0.567666269999506485300101301261 Theorem 4: I1prime(1049) = 0.574303285847212875734345473279 Theorem 4: I2(1049) = 0.561293062272874071662280453843 Theorem 4: I2prime(1049) = 0.567930078120580462096524625861 Theorem 4: I4(1049) = 0.586255388411607828703282320073 Theorem 4: I4prime(1049) = 0.592892404259314219137526492091 --------- EK(1051) = 9.54498273976429784375121033302 EK(1051)plus = 8.93027181107189874871244025602 gammaK3(1051) = 7.03190997469928407255107107693 gammaK3(1051)plus = 2.81764939234262108065931458877 gammaK5(1051) = 4.17368275927505195887736511071 gammaK5(1051)plus = 6.21514962532539323559412857533 Theorem 4: I1(1051) = 0.569289772453578800209702141355 Theorem 4: I1prime(1051) = 0.575915960425842563186478126178 Theorem 4: I3(1051) = 0.581187050621652226744385421267 Theorem 4: I3prime(1051) = 0.587813238593915989721161406090 Theorem 4: I5(1051) = 0.537866890237970964057523194726 Theorem 4: I5prime(1051) = 0.544493078210234727034299179550 --------- EK(1061) = 8.22252973087083506693639003633 EK(1061)plus = 7.60961507602298756239724392256 gammaK2(1061) = 7.60961507602298756239724392256 gammaK2(1061)plus = -4.15129684638150772399341403902 gammaK5(1061) = 7.32697069344377016157660252450 gammaK5(1061)plus = 6.24320522621545779870704730491 Theorem 4: I1(1061) = 0.570608803550888269609302544383 Theorem 4: I1prime(1061) = 0.577181414059014668793323177422 Theorem 4: I2(1061) = 0.607226299162434514589908413417 Theorem 4: I2prime(1061) = 0.613798909670560913773929046457 Theorem 4: I5(1061) = 0.552847682026555163271504954618 Theorem 4: I5prime(1061) = 0.559420292534681562455525587658 --------- EK(1063) = 4.77715641802743344920619916196 EK(1063)plus = 7.94171098310080092528507804023 gammaK3(1063) = 1.52660891041682064529672098963 gammaK3(1063)plus = 3.92503989036683779580472992051 Theorem 4: I1(1063) = 0.566751608824150431130292902876 Theorem 4: I1prime(1063) = 0.573313614830122133511112798115 Theorem 4: I3(1063) = 0.559334216098361033915287347860 Theorem 4: I3prime(1063) = 0.565896222104332736296107243100 --------- EK(1069) = 7.99931969717339919415430622893 EK(1069)plus = 6.99427308924763709349992575209 gammaK2(1069) = 6.99427308924763709349992575209 gammaK2(1069)plus = 6.33279869557388377228553871119 gammaK3(1069) = 8.36038886442101855439154663261 gammaK3(1069)plus = 6.17469620393916267950464318821 gammaK6(1069) = 6.17469620393916267950464318821 gammaK6(1069)plus = 4.15125260519059226277476920055 Theorem 4: I1(1069) = 0.571601660320739551384906633784 Theorem 4: I1prime(1069) = 0.578132071286118807213988684835 Theorem 4: I2(1069) = 0.566582978173320295612316895848 Theorem 4: I2prime(1069) = 0.573113389138699551441398946898 Theorem 4: I3(1069) = 0.565992254917199472796268208636 Theorem 4: I3prime(1069) = 0.572522665882578728625350259686 Theorem 4: I6(1069) = 0.565224994017221618461152667251 Theorem 4: I6prime(1069) = 0.571755404982600874290234718302 --------- EK(1087) = 7.14879369558010410117414580358 EK(1087)plus = 7.26184544530949709839933023399 gammaK3(1087) = -2.79787883007995676378154631141 gammaK3(1087)plus = 2.02602892027863373925393576962 Theorem 4: I1(1087) = 0.570418855746084346406623871859 Theorem 4: I1prime(1087) = 0.576856403524280671860714197837 Theorem 4: I3(1087) = 0.558275404629667057933187481860 Theorem 4: I3prime(1087) = 0.564712952407863383387277807837 --------- EK(1091) = 7.31749231388471991181272060635 EK(1091)plus = 6.98455288460785002661104906203 gammaK5(1091) = 5.53712835042325539657001789408 gammaK5(1091)plus = 0.217791376916486137364787278462 Theorem 4: I1(1091) = 0.571107379810802617844998132175 Theorem 4: I1prime(1091) = 0.577524673375787086485834733842 Theorem 4: I5(1091) = 0.600587813080547992043207533823 Theorem 4: I5prime(1091) = 0.607005106645532460684044135490 --------- EK(1093) = 7.02995424416251130292252464351 EK(1093)plus = 8.34981977269485511471908150278 gammaK2(1093) = 8.34981977269485511471908150278 gammaK2(1093)plus = 4.59666183238954691584459041587 gammaK3(1093) = -7.75266465621602878798461796732 gammaK3(1093)plus = 1.05537525497548239416804880940 gammaK6(1093) = 1.05537525497548239416804880940 gammaK6(1093)plus = 1.13343604985613342551126641633 Theorem 4: I1(1093) = 0.568354774316636144423620411001 Theorem 4: I1prime(1093) = 0.574761991796651289625695605974 Theorem 4: I2(1093) = 0.575659051147752175877259023189 Theorem 4: I2prime(1093) = 0.582066268627767321079334218162 Theorem 4: I3(1093) = 0.550100768243161957525405522002 Theorem 4: I3prime(1093) = 0.556507985723177102727480716976 Theorem 4: I6(1093) = 0.570523884339902093562245281191 Theorem 4: I6prime(1093) = 0.576931101819917238764320476164 --------- EK(1097) = 9.21395920271318872374198528075 EK(1097)plus = 8.16432315929997770469424457852 gammaK2(1097) = 8.16432315929997770469424457852 gammaK2(1097)plus = 7.66059577190771357179142780769 gammaK4(1097) = 7.66059577190771357179142780769 gammaK4(1097)plus = -0.934334704104550965398653528385 Theorem 4: I1(1097) = 0.570718334351929648929582647255 Theorem 4: I1prime(1097) = 0.577105500830282961197748110183 Theorem 4: I2(1097) = 0.564144030684390884783233300849 Theorem 4: I2prime(1097) = 0.570531197162744197051398763778 Theorem 4: I4(1097) = 0.611970694148388562031039715635 Theorem 4: I4prime(1097) = 0.618357860626741874299205178564 --------- EK(1103) = 4.08511784462383994492761492958 EK(1103)plus = 6.89016624787821044301361829691 Theorem 4: I1(1103) = 0.568412060553583283942105237396 Theorem 4: I1prime(1103) = 0.574769400861435827018835233163 --------- EK(1109) = 8.88255153800499321525970916026 EK(1109)plus = 8.45707918339370845996686547809 gammaK2(1109) = 8.45707918339370845996686547809 gammaK2(1109)plus = 8.38048159902085652068719869109 Theorem 4: I1(1109) = 0.569961211256009105057914336527 Theorem 4: I1prime(1109) = 0.576289021713906548230203480014 Theorem 4: I2(1109) = 0.562215282545746033847342738011 Theorem 4: I2prime(1109) = 0.568543093003643477019631881498 --------- EK(1117) = 7.11875203793680201141842936077 EK(1117)plus = 8.06523779150819802100854523086 gammaK2(1117) = 8.06523779150819802100854523086 gammaK2(1117)plus = 7.21095704866734844295900524807 gammaK3(1117) = 5.48609140540880077476606983210 gammaK3(1117)plus = 1.94314790667480065086302255095 gammaK6(1117) = 1.94314790667480065086302255095 gammaK6(1117)plus = -15.7334374333942644226399785805 Theorem 4: I1(1117) = 0.569135008597249211775195139608 Theorem 4: I1prime(1117) = 0.575423899098207276926250768500 Theorem 4: I2(1117) = 0.565812501467254263957658109985 Theorem 4: I2prime(1117) = 0.572101391968212329108713738878 Theorem 4: I3(1117) = 0.581499285067012004176106093043 Theorem 4: I3prime(1117) = 0.587788175567970069327161721935 Theorem 4: I6(1117) = 0.756805632014233782278511681927 Theorem 4: I6prime(1117) = 0.763094522515191847429567310819 --------- EK(1123) = 7.14954955048058431656890529816 EK(1123)plus = 7.69464669826295241286831510078 gammaK3(1123) = 7.81572064139791998189883857270 gammaK3(1123)plus = 7.21594175359967350015627930961 Theorem 4: I1(1123) = 0.569866285328659118423382649474 Theorem 4: I1prime(1123) = 0.576126320047677338726890108892 Theorem 4: I3(1123) = 0.559508651798537017722241428302 Theorem 4: I3prime(1123) = 0.565768686517555238025748887720 --------- EK(1129) = 7.47090493500694094333124807765 EK(1129)plus = 8.72108501392539731670636161708 gammaK2(1129) = 8.72108501392539731670636161708 gammaK2(1129)plus = 5.43792973478780072445373212762 gammaK3(1129) = 5.97589236742432073420377319207 gammaK3(1129)plus = 6.41396412634245974849413586271 gammaK4(1129) = 5.43792973478780072445373212762 gammaK4(1129)plus = -9.31979574440471193194601619764 gammaK6(1129) = 6.41396412634245974849413586271 gammaK6(1129)plus = 5.31100826311989291533612980941 Theorem 4: I1(1129) = 0.568370366538544944517949869589 Theorem 4: I1prime(1129) = 0.574601827145060602334659429211 Theorem 4: I2(1129) = 0.573384094128028038283785472710 Theorem 4: I2prime(1129) = 0.579615554734543696100495032332 Theorem 4: I3(1129) = 0.558975592173162875445338664303 Theorem 4: I3prime(1129) = 0.565207052779678533262048223925 Theorem 4: I4(1129) = 0.662574848458237502204132852364 Theorem 4: I4prime(1129) = 0.668806309064753160020842411985 Theorem 4: I6(1129) = 0.554799261388214553478879997977 Theorem 4: I6prime(1129) = 0.561030721994730211295589557599 --------- EK(1151) = 6.05742829637482922031956784385 EK(1151)plus = 7.02205344763900925647626113580 gammaK5(1151) = 4.80819809911868016575493287035 gammaK5(1151)plus = 4.80751186309559303796178578935 Theorem 4: I1(1151) = 0.570265397396695514996552311629 Theorem 4: I1prime(1151) = 0.576394429056453673817343104894 Theorem 4: I5(1151) = 0.556289775080957799436992831380 Theorem 4: I5prime(1151) = 0.562418806740715958257783624644 --------- EK(1153) = 9.77435850785916454363141243611 EK(1153)plus = 8.33729816813822366573020901340 gammaK2(1153) = 8.33729816813822366573020901340 gammaK2(1153)plus = 6.18942592631435731496447906987 gammaK3(1153) = 9.28821413268910887049904697279 gammaK3(1153)plus = 5.86756472804946740664387499419 gammaK4(1153) = 6.18942592631435731496447906987 gammaK4(1153)plus = 7.15899658537329404957344336420 gammaK6(1153) = 5.86756472804946740664387499419 gammaK6(1153)plus = -1.17581949684110495326075990587 Theorem 4: I1(1153) = 0.571220562708444015398747673712 Theorem 4: I1prime(1153) = 0.577340460729510906914349741996 Theorem 4: I2(1153) = 0.570188453820783628218119119258 Theorem 4: I2prime(1153) = 0.576308351841850519733721187543 Theorem 4: I3(1153) = 0.570827552345723243850511295593 Theorem 4: I3prime(1153) = 0.576947450366790135366113363878 Theorem 4: I4(1153) = 0.548970223434681132565894000753 Theorem 4: I4prime(1153) = 0.555090121455748024081496069038 Theorem 4: I6(1153) = 0.619992143150025623219271427258 Theorem 4: I6prime(1153) = 0.626112041171092514734873495542 --------- EK(1163) = 10.5531317604668253837935937991 EK(1163)plus = 8.38911674410935591725979896827 Theorem 4: I1(1163) = 0.571853206734119999878992905049 Theorem 4: I1prime(1163) = 0.577927869515977714530281776246 --------- EK(1171) = 8.18915188414201822439756375393 EK(1171)plus = 6.79542526015421457219201373472 gammaK3(1171) = 8.55990291886367793326388210790 gammaK3(1171)plus = 3.72096495621676713162369349903 gammaK5(1171) = 7.06495338671510056748002120875 gammaK5(1171)plus = 1.65531764544925862532574739888 Theorem 4: I1(1171) = 0.572593666934056566871596467480 Theorem 4: I1prime(1171) = 0.578632652714909316736411196694 Theorem 4: I3(1171) = 0.580066777774992580914593321828 Theorem 4: I3prime(1171) = 0.586105763555845330779408051041 Theorem 4: I5(1171) = 0.593233951696557350208921114363 Theorem 4: I5prime(1171) = 0.599272937477410100073735843577 --------- EK(1181) = 9.22252758788294445624086687836 EK(1181)plus = 8.79177460201389821175578313587 gammaK2(1181) = 8.79177460201389821175578313587 gammaK2(1181)plus = 6.90565158076349241427103974498 gammaK5(1181) = 5.58038370809676747066177316533 gammaK5(1181)plus = -9.13787139582842963439490026982 Theorem 4: I1(1181) = 0.570124972841875346469996387630 Theorem 4: I1prime(1181) = 0.576119987092890060287825888374 Theorem 4: I2(1181) = 0.568697828335830993944471198803 Theorem 4: I2prime(1181) = 0.574692842586845707762300699548 Theorem 4: I5(1181) = 0.678275544077391386138858463829 Theorem 4: I5prime(1181) = 0.684270558328406099956687964574 --------- EK(1187) = 8.57031533480880933570218217531 EK(1187)plus = 7.92354784159957603145687182393 Theorem 4: I1(1187) = 0.571075066835289563922524635847 Theorem 4: I1prime(1187) = 0.577044025009496703920083885964 --------- EK(1193) = 7.71404915631585479575075729583 EK(1193)plus = 8.69608574151858174300131552313 gammaK2(1193) = 8.69608574151858174300131552313 gammaK2(1193)plus = 7.79549986415473141917000034717 gammaK4(1193) = 7.79549986415473141917000034717 gammaK4(1193)plus = 7.64003408840537410675016663254 Theorem 4: I1(1193) = 0.569091448903468374579071493838 Theorem 4: I1prime(1193) = 0.575034591875027029036388466885 Theorem 4: I2(1193) = 0.565637045556293867737726851585 Theorem 4: I2prime(1193) = 0.571580188527852522195043824632 Theorem 4: I4(1193) = 0.552079720419561130912593801858 Theorem 4: I4prime(1193) = 0.558022863391119785369910774905 --------- EK(1201) = 7.95836659785722974334642930554 EK(1201)plus = 7.55214245812752587008703066331 gammaK2(1201) = 7.55214245812752587008703066331 gammaK2(1201)plus = -3.39348893359772965178561101330 gammaK3(1201) = 7.14299757905521119673377311040 gammaK3(1201)plus = 3.62838767390989416755464036405 gammaK4(1201) = -3.39348893359772965178561101330 gammaK4(1201)plus = -40.5561354305839087046454248408 gammaK5(1201) = 8.21147356630221625995181161542 gammaK5(1201)plus = 2.94910678062679181381133238559 gammaK6(1201) = 3.62838767390989416755464036405 gammaK6(1201)plus = 0.225450803542961566878452502707 Theorem 4: I1(1201) = 0.571255808726602675620585596150 Theorem 4: I1prime(1201) = 0.577164900245002661904746294242 Theorem 4: I2(1201) = 0.601104350291207169252135576735 Theorem 4: I2prime(1201) = 0.607013441809607155536296274827 Theorem 4: I3(1201) = 0.576916447750825417794862919293 Theorem 4: I3prime(1201) = 0.582825539269225404079023617385 Theorem 4: I4(1201) = 0.836258574355038486510582349983 Theorem 4: I4prime(1201) = 0.842167665873438472794743048075 Theorem 4: I5(1201) = 0.586829627041242163298366199025 Theorem 4: I5prime(1201) = 0.592738718559642149582526897117 Theorem 4: I6(1201) = 0.593073549778060715844079963385 Theorem 4: I6prime(1201) = 0.598982641296460702128240661477 --------- EK(1213) = 9.03497149699895767886607054706 EK(1213)plus = 9.07718624814594107584284924995 gammaK2(1213) = 9.07718624814594107584284924995 gammaK2(1213)plus = 6.63076157687943154047580853710 gammaK3(1213) = 8.45960504034671267339820832686 gammaK3(1213)plus = 8.47978776954799712869749838659 gammaK6(1213) = 8.47978776954799712869749838659 gammaK6(1213)plus = -0.628930581421193639228487245605 Theorem 4: I1(1213) = 0.569686572667212172744219088116 Theorem 4: I1prime(1213) = 0.575545361370961389023709518118 Theorem 4: I2(1213) = 0.570301150554475647369897802534 Theorem 4: I2prime(1213) = 0.576159939258224863649388232536 Theorem 4: I3(1213) = 0.556161632011797635853352983953 Theorem 4: I3prime(1213) = 0.562020420715546852132843413955 Theorem 4: I6(1213) = 0.625392843830674618977180320022 Theorem 4: I6prime(1213) = 0.631251632534423835256670750024 --------- EK(1217) = 9.56013589253956059577898246438 EK(1217)plus = 9.37736344166396798070849677855 gammaK2(1217) = 9.37736344166396798070849677855 gammaK2(1217)plus = 8.06156076705776512534354310859 gammaK4(1217) = 8.06156076705776512534354310859 gammaK4(1217)plus = 4.12781307155997981165161683728 Theorem 4: I1(1217) = 0.569649519165883965953672885006 Theorem 4: I1prime(1217) = 0.575491742926564498168135164636 Theorem 4: I2(1217) = 0.566111059118289040208168255019 Theorem 4: I2prime(1217) = 0.571953282878969572422630534649 Theorem 4: I4(1217) = 0.576558074112641824323044482038 Theorem 4: I4prime(1217) = 0.582400297873322356537506761667 --------- EK(1223) = 5.04615421777380098323277121081 EK(1223)plus = 7.68833378512921472256664328106 Theorem 4: I1(1223) = 0.568757128964047490675006970298 Theorem 4: I1prime(1223) = 0.574574692086541085073747995730 --------- EK(1229) = 4.17965037264175208370193910226 EK(1229)plus = 6.58829243529997901725028845110 gammaK2(1229) = 6.58829243529997901725028845110 gammaK2(1229)plus = 6.53738330527572306266138794383 Theorem 4: I1(1229) = 0.569884453483107835578128632409 Theorem 4: I1prime(1229) = 0.575677577350832619634376855644 Theorem 4: I2(1229) = 0.566641939658667727231709589008 Theorem 4: I2prime(1229) = 0.572435063526392511287957812243 --------- EK(1231) = 8.73519349723687814500963225299 EK(1231)plus = 8.97385062059156290973103547139 gammaK3(1231) = 8.64587443050456034164262992884 gammaK3(1231)plus = 0.229897944789133956545472131414 gammaK5(1231) = 5.25428341188106581467430958672 gammaK5(1231)plus = 6.55587976523414990955776866299 Theorem 4: I1(1231) = 0.569721117934000261562895955595 Theorem 4: I1prime(1231) = 0.575506144052849410758302685858 Theorem 4: I3(1231) = 0.597167600303502234458600575292 Theorem 4: I3prime(1231) = 0.602952626422351383654007305555 Theorem 4: I5(1231) = 0.545251188703540652664899754840 Theorem 4: I5prime(1231) = 0.551036214822389801860306485104 --------- EK(1237) = 9.63328805765113138468747389683 EK(1237)plus = 7.41631146159564015140027493844 gammaK2(1237) = 7.41631146159564015140027493844 gammaK2(1237)plus = 3.61522895626492329548844672953 gammaK3(1237) = 8.78900340362346631781874978874 gammaK3(1237)plus = 6.44984684420374701377341867937 gammaK6(1237) = 6.44984684420374701377341867937 gammaK6(1237)plus = 5.54470288662978288917965138300 Theorem 4: I1(1237) = 0.573004422391125019942736577718 Theorem 4: I1prime(1237) = 0.578765299715067162256193879575 Theorem 4: I2(1237) = 0.577507076991730031185977986810 Theorem 4: I2prime(1237) = 0.583267954315672173499435288666 Theorem 4: I3(1237) = 0.567224278585736817276314165636 Theorem 4: I3prime(1237) = 0.572985155909678959589771467493 Theorem 4: I6(1237) = 0.554665568754058293097291986255 Theorem 4: I6prime(1237) = 0.560426446078000435410749288111 --------- EK(1249) = 8.72931961414060459728710073303 EK(1249)plus = 9.07542276668367542513852911099 gammaK2(1249) = 9.07542276668367542513852911099 gammaK2(1249)plus = 6.90879210237822468562228229562 gammaK3(1249) = 7.21836691797615476020262119106 gammaK3(1249)plus = 7.77671160424459879926229876035 gammaK4(1249) = 6.90879210237822468562228229562 gammaK4(1249)plus = 5.48562662665359794420853343566 gammaK6(1249) = 7.77671160424459879926229876035 gammaK6(1249)plus = 6.69043999088698294434134048020 Theorem 4: I1(1249) = 0.569661787386158835948208136559 Theorem 4: I1prime(1249) = 0.575375007346195356521584644685 Theorem 4: I2(1249) = 0.569606891411095664345807904204 Theorem 4: I2prime(1249) = 0.575320111371132184919184412329 Theorem 4: I3(1249) = 0.557165738193664881378398261145 Theorem 4: I3prime(1249) = 0.562878958153701401951774769271 Theorem 4: I4(1249) = 0.564176644482016810211101317378 Theorem 4: I4prime(1249) = 0.569889864442053330784477825503 Theorem 4: I6(1249) = 0.550245080298218420173849788601 Theorem 4: I6prime(1249) = 0.555958300258254940747226296726 --------- EK(1259) = 9.37661807021660084634885680573 EK(1259)plus = 8.47740506925930376136786229826 Theorem 4: I1(1259) = 0.571187154398982588550493407853 Theorem 4: I1prime(1259) = 0.576861298305218158635127861122 --------- EK(1277) = 9.43679907280250349719381192756 EK(1277)plus = 8.30704939865635925523749889785 gammaK2(1277) = 8.30704939865635925523749889785 gammaK2(1277)plus = -5.89952367171158968196764081379 Theorem 4: I1(1277) = 0.571586429046606202250021203251 Theorem 4: I1prime(1277) = 0.577191655422807251851206931993 Theorem 4: I2(1277) = 0.608721137496679157737502050579 Theorem 4: I2prime(1277) = 0.614326363872880207338687779320 --------- EK(1279) = 7.94604783359513952935762226351 EK(1279)plus = 6.21697490974513173505849643211 gammaK3(1279) = 4.29882418320863076287940875988 gammaK3(1279)plus = 6.01250255488580152531165742147 Theorem 4: I1(1279) = 0.573699624475143116239347218475 Theorem 4: I1prime(1279) = 0.579297303506112476716682532380 Theorem 4: I3(1279) = 0.559065949864927363779701664268 Theorem 4: I3prime(1279) = 0.564663628895896724257036978173 --------- EK(1283) = 7.46998597502797857375272596558 EK(1283)plus = 8.53518348049407523850878768549 Theorem 4: I1(1283) = 0.569722713547998895774594004080 Theorem 4: I1prime(1283) = 0.575305362818369907028730853705 --------- EK(1289) = 3.65395949908713805169166418050 EK(1289)plus = 5.96968257818378445180175338113 gammaK2(1289) = 5.96968257818378445180175338113 gammaK2(1289)plus = 2.46031002792630219907351671892 gammaK4(1289) = 2.46031002792630219907351671892 gammaK4(1289)plus = 3.57081361489031401875477820762 Theorem 4: I1(1289) = 0.570778579557735761895133004294 Theorem 4: I1prime(1289) = 0.576338845087968050239552917370 Theorem 4: I2(1289) = 0.578836010020788990676869698825 Theorem 4: I2prime(1289) = 0.584396275551021279021289611900 Theorem 4: I4(1289) = 0.562660144816487649032659731047 Theorem 4: I4prime(1289) = 0.568220410346719937377079644123 --------- EK(1291) = 8.58998570793851488152869067550 EK(1291)plus = 9.09406540110894688494739131866 gammaK3(1291) = 6.05782130452758718942529304840 gammaK3(1291)plus = 3.41709673356156034663919357780 gammaK5(1291) = 6.95367724572641245617918808562 gammaK5(1291)plus = 6.69613711142595705719207371099 Theorem 4: I1(1291) = 0.569770937815413489529959043984 Theorem 4: I1prime(1291) = 0.575323784630023289917296548628 Theorem 4: I3(1291) = 0.575397234647090666875720388660 Theorem 4: I3prime(1291) = 0.580950081461700467263057893303 Theorem 4: I5(1291) = 0.552238340002540180534448924032 Theorem 4: I5prime(1291) = 0.557791186817149980921786428675 --------- EK(1297) = 7.83019482505680789292905966166 EK(1297)plus = 6.94340525468050550848206021278 gammaK2(1297) = 6.94340525468050550848206021278 gammaK2(1297)plus = 7.06297248988770035877236392979 gammaK3(1297) = 7.74176309821579023614830295596 gammaK3(1297)plus = 6.73914374501354902948940173110 gammaK4(1297) = 7.06297248988770035877236392979 gammaK4(1297)plus = 5.60229655814019497706574056170 gammaK6(1297) = 6.73914374501354902948940173110 gammaK6(1297)plus = 6.44121955759550041047161886955 Theorem 4: I1(1297) = 0.572538082801789488494891660660 Theorem 4: I1prime(1297) = 0.578068799764996621119907428807 Theorem 4: I2(1297) = 0.566122963602060480449586652714 Theorem 4: I2prime(1297) = 0.571653680565267613074602420861 Theorem 4: I3(1297) = 0.563923870668258520431846543151 Theorem 4: I3prime(1297) = 0.569454587631465653056862311298 Theorem 4: I4(1297) = 0.564415815076360339841128963657 Theorem 4: I4prime(1297) = 0.569946532039567472466144731804 Theorem 4: I6(1297) = 0.548748877461066847069109998526 Theorem 4: I6prime(1297) = 0.554279594424273979694125766673 --------- EK(1301) = 10.5047473391662737107228582694 EK(1301)plus = 9.38081541757830297471613225168 gammaK2(1301) = 9.38081541757830297471613225168 gammaK2(1301)plus = 7.34528308395239200345956209477 gammaK5(1301) = -0.472999947138133405837180368173 gammaK5(1301)plus = 0.994027634568003506225658009528 Theorem 4: I1(1301) = 0.570859972929186147934561224291 Theorem 4: I1prime(1301) = 0.576376040989580382761280518514 Theorem 4: I2(1301) = 0.569038331334783821734158688187 Theorem 4: I2prime(1301) = 0.574554399395178056560877982410 Theorem 4: I5(1301) = 0.567728852269476958094530491308 Theorem 4: I5prime(1301) = 0.573244920329871192921249785531 --------- EK(1303) = 10.3200519392202746897355324309 EK(1303)plus = 9.49674328985293089639032102021 gammaK3(1303) = 9.12834390443752207111664101244 gammaK3(1303)plus = 7.72914914612370630449417095943 Theorem 4: I1(1303) = 0.570549809743988777857012599448 Theorem 4: I1prime(1303) = 0.576058584380797414660239796220 Theorem 4: I3(1303) = 0.562617823513406825641823315651 Theorem 4: I3prime(1303) = 0.568126598150215462445050512423 --------- EK(1307) = 9.00699188135077576137948044171 EK(1307)plus = 7.54489123944930963140279377968 Theorem 4: I1(1307) = 0.572553884773703061144721822845 Theorem 4: I1prime(1307) = 0.578048134171577656816703716951 --------- EK(1319) = 9.23540471824460801657048093559 EK(1319)plus = 9.21555397204704238649025379405 Theorem 4: I1(1319) = 0.570234515898455171460805169143 Theorem 4: I1prime(1319) = 0.575685676105372709092500315285 --------- EK(1321) = 9.25945847503190827267274331303 EK(1321)plus = 9.07140302361730578255267700658 gammaK2(1321) = 9.07140302361730578255267700658 gammaK2(1321)plus = 1.73778424368690591847553072030 gammaK3(1321) = 7.46042450810486771792405618134 gammaK3(1321)plus = 6.17233058344275579027400998491 gammaK4(1321) = 1.73778424368690591847553072030 gammaK4(1321)plus = 4.49503968581674807298520215890 gammaK5(1321) = 8.49875916806180817088803748428 gammaK5(1321)plus = 5.76984915845040990384187459925 gammaK6(1321) = 6.17233058344275579027400998491 gammaK6(1321)plus = 0.676129192681098164272313987137 Theorem 4: I1(1321) = 0.570481731855382670827282365721 Theorem 4: I1prime(1321) = 0.575925780570929886977907822317 Theorem 4: I2(1321) = 0.585685953518999446560225711460 Theorem 4: I2prime(1321) = 0.591130002234546662710851168056 Theorem 4: I3(1321) = 0.566102754202677880882024387253 Theorem 4: I3prime(1321) = 0.571546802918225097032649843848 Theorem 4: I4(1321) = 0.555222515881344565322737850525 Theorem 4: I4prime(1321) = 0.560666564596891781473363307120 Theorem 4: I5(1321) = 0.565676334607765592224139600799 Theorem 4: I5prime(1321) = 0.571120383323312808374765057395 Theorem 4: I6(1321) = 0.599100338307737461722779165328 Theorem 4: I6prime(1321) = 0.604544387023284677873404621924 --------- EK(1327) = 5.62277449720494336613348884399 EK(1327)plus = 6.94068039325629959625642692832 gammaK3(1327) = -1.57066389141993033167068871656 gammaK3(1327)plus = 3.29159514842118851164070345772 Theorem 4: I1(1327) = 0.570983380495867149516052787244 Theorem 4: I1prime(1327) = 0.576406213100944229085723337819 Theorem 4: I3(1327) = 0.558755762139389456908499044420 Theorem 4: I3prime(1327) = 0.564178594744466536478169594995 --------- EK(1361) = 6.87763498424841836123186085402 EK(1361)plus = 7.47645163137817767656698560961 gammaK2(1361) = 7.47645163137817767656698560961 gammaK2(1361)plus = 7.21444056092937888308216195768 gammaK4(1361) = 7.21444056092937888308216195768 gammaK4(1361)plus = 6.78141778596323002528047890073 gammaK5(1361) = 0.0881509333068174051742627762049 gammaK5(1361)plus = 3.25688215854973802989052375353 Theorem 4: I1(1361) = 0.571274066267356040875187117689 Theorem 4: I1prime(1361) = 0.576579930239893883575039207232 Theorem 4: I2(1361) = 0.566983701144984157764898574795 Theorem 4: I2prime(1361) = 0.572289565117522000464750664338 Theorem 4: I4(1361) = 0.558528309386916334105986654984 Theorem 4: I4prime(1361) = 0.563834173359454176805838744527 Theorem 4: I5(1361) = 0.553572579431807873484061219419 Theorem 4: I5prime(1361) = 0.558878443404345716183913308962 --------- EK(1367) = 7.40585335408862801286595245223 EK(1367)plus = 8.19741305487076693654024329130 Theorem 4: I1(1367) = 0.570631288229168349677736973092 Theorem 4: I1prime(1367) = 0.575917067026184418170012651117 --------- EK(1373) = 9.82030897317168161740483411420 EK(1373)plus = 8.63975070340806543534723796825 gammaK2(1373) = 8.63975070340806543534723796825 gammaK2(1373)plus = 7.61118290725201102125046974173 Theorem 4: I1(1373) = 0.571775097635573336754544162061 Theorem 4: I1prime(1373) = 0.577040952887590808364899584870 Theorem 4: I2(1373) = 0.567612339877701994602482852563 Theorem 4: I2prime(1373) = 0.572878195129719466212838275372 --------- EK(1381) = 8.13904317388726502320420802741 EK(1381)plus = 8.19877529335985519123204694966 gammaK2(1381) = 8.19877529335985519123204694966 gammaK2(1381)plus = 7.58774949087461811915084792989 gammaK3(1381) = 8.94765419448019438099435293625 gammaK3(1381)plus = 7.86620463611633663031922321025 gammaK5(1381) = -5.71893825331253162526852470933 gammaK5(1381)plus = 0.788575550394124503753818483074 gammaK6(1381) = 7.86620463611633663031922321025 gammaK6(1381)plus = 7.59295341288969842531822862640 Theorem 4: I1(1381) = 0.571227442473018796393165630202 Theorem 4: I1prime(1381) = 0.576466980989982051551394393338 Theorem 4: I2(1381) = 0.567096877616161347125022412295 Theorem 4: I2prime(1381) = 0.572336416133124602283251175431 Theorem 4: I3(1381) = 0.562454807040077551617811389545 Theorem 4: I3prime(1381) = 0.567694345557040806776040152681 Theorem 4: I5(1381) = 0.550761574710888861012546907334 Theorem 4: I5prime(1381) = 0.556001113227852116170775670470 Theorem 4: I6(1381) = 0.545368092170315367234879643101 Theorem 4: I6prime(1381) = 0.550607630687278622393108406237 --------- EK(1399) = 9.92380031386585891608556267098 EK(1399)plus = 7.28208484905204514435496287130 gammaK3(1399) = 8.20982190693459823106187217502 gammaK3(1399)plus = 6.05678978415884911261437153811 Theorem 4: I1(1399) = 0.573892667244886786949221042712 Theorem 4: I1prime(1399) = 0.579074006997866387217742194621 Theorem 4: I3(1399) = 0.568827383783215093236479059926 Theorem 4: I3prime(1399) = 0.574008723536194693505000211835 --------- EK(1409) = 4.31537475804842443869134375442 EK(1409)plus = 7.25554167332472660131837548388 gammaK2(1409) = 7.25554167332472660131837548388 gammaK2(1409)plus = 6.48543002538335865623533194383 gammaK4(1409) = 6.48543002538335865623533194383 gammaK4(1409)plus = 0.565794003988460353355398406988 Theorem 4: I1(1409) = 0.569970737211414832143018127389 Theorem 4: I1prime(1409) = 0.575120336296570144797110386238 Theorem 4: I2(1409) = 0.569090000162147710004514390278 Theorem 4: I2prime(1409) = 0.574239599247303022658606649127 Theorem 4: I4(1409) = 0.592410813817218322643075848239 Theorem 4: I4prime(1409) = 0.597560412902373635297168107088 --------- EK(1423) = 4.53293143210490976614652921601 EK(1423)plus = 6.29411404910394908434333560404 gammaK3(1423) = 2.74189852427740381736031847974 gammaK3(1423)plus = 4.47496723882606071093820777199 Theorem 4: I1(1423) = 0.571547308699813970906192406985 Theorem 4: I1prime(1423) = 0.576653161441086722220639779234 Theorem 4: I3(1423) = 0.564107770795802923146953979457 Theorem 4: I3prime(1423) = 0.569213623537075674461401351705 --------- EK(1427) = 8.05647237456407880645838662279 EK(1427)plus = 9.01877302941793354665653194237 Theorem 4: I1(1427) = 0.570212742613102091355499699386 Theorem 4: I1prime(1427) = 0.575306241643590756444491570063 --------- EK(1429) = 7.77977441788062761795947164115 EK(1429)plus = 6.53936452585932333644629901757 gammaK2(1429) = 6.53936452585932333644629901757 gammaK2(1429)plus = 4.49330915661558067128837174856 gammaK3(1429) = 7.33722107381956488563050298495 gammaK3(1429)plus = 6.18527177911959047925116483279 gammaK6(1429) = 6.18527177911959047925116483279 gammaK6(1429)plus = 4.60753527308205396739509563527 Theorem 4: I1(1429) = 0.573501349789557373805001801172 Theorem 4: I1prime(1429) = 0.578588695852533471428567971764 Theorem 4: I2(1429) = 0.573781013454145165783327201217 Theorem 4: I2prime(1429) = 0.578868359517121263406893371809 Theorem 4: I3(1429) = 0.566630770299678675374378911824 Theorem 4: I3prime(1429) = 0.571718116362654772997945082416 Theorem 4: I6(1429) = 0.564464042577551795257089432064 Theorem 4: I6prime(1429) = 0.569551388640527892880655602657 --------- EK(1433) = 8.25145875245155908163668958086 EK(1433)plus = 8.27236872240399466512063459322 gammaK2(1433) = 8.27236872240399466512063459322 gammaK2(1433)plus = 8.88293661358731291252971028724 gammaK4(1433) = 8.88293661358731291252971028724 gammaK4(1433)plus = 7.15191966973966687842907008637 Theorem 4: I1(1433) = 0.571420725111067989285464528640 Theorem 4: I1prime(1433) = 0.576495812700333472420992908809 Theorem 4: I2(1433) = 0.563949492286505071998866399633 Theorem 4: I2prime(1433) = 0.569024579875770555134394779803 Theorem 4: I4(1433) = 0.562059302294043233993484273698 Theorem 4: I4prime(1433) = 0.567134389883308717129012653867 --------- EK(1439) = 5.12520331015261497912833419976 EK(1439)plus = 7.07031585764311843913415433147 Theorem 4: I1(1439) = 0.570942726638158526924290309049 Theorem 4: I1prime(1439) = 0.575999544236828462819236971473 --------- EK(1447) = 10.0356496754843178900780948054 EK(1447)plus = 9.66791880023035187513783286474 gammaK3(1447) = 9.32441621260434907029687740213 gammaK3(1447)plus = 6.50285814056673505639423541338 Theorem 4: I1(1447) = 0.570780519258550318296009439352 Theorem 4: I1prime(1447) = 0.575813194034920639085271472007 Theorem 4: I3(1447) = 0.569567671658160471886012389964 Theorem 4: I3prime(1447) = 0.574600346434530792675274422619 --------- EK(1451) = 3.59285480618263396505940408042 EK(1451)plus = 7.05620540358426026590020624233 gammaK5(1451) = 5.17320685403729055064175961364 gammaK5(1451)plus = 5.38015732132595047384454299479 Theorem 4: I1(1451) = 0.569957336145441341125122785810 Theorem 4: I1prime(1451) = 0.574978031492258022398605576591 Theorem 4: I5(1451) = 0.557932463232700353439888610197 Theorem 4: I5prime(1451) = 0.562953158579517034713371400978 --------- EK(1453) = 6.61391089533784025181417514410 EK(1453)plus = 7.69522290806700269279129138835 gammaK2(1453) = 7.69522290806700269279129138835 gammaK2(1453)plus = 8.01824352758898852221126007060 gammaK3(1453) = 7.35002886907691674794674075555 gammaK3(1453)plus = 7.23096668374584715725827108148 gammaK6(1453) = 7.23096668374584715725827108148 gammaK6(1453)plus = 6.26288523432132086953609427666 Theorem 4: I1(1453) = 0.571167765694084787625985818435 Theorem 4: I1prime(1453) = 0.576182494112521621581724617184 Theorem 4: I2(1453) = 0.565719413006864250158045192628 Theorem 4: I2prime(1453) = 0.570734141425301084113783991377 Theorem 4: I3(1453) = 0.562511286333695640770715519409 Theorem 4: I3prime(1453) = 0.567526014752132474726454318157 Theorem 4: I6(1453) = 0.555315588400230251450439130287 Theorem 4: I6prime(1453) = 0.560330316818667085406177929035 --------- EK(1459) = 7.68282436814259528817777554458 EK(1459)plus = 5.64211729826196793033256618823 gammaK3(1459) = 7.32387900699463167016943076151 gammaK3(1459)plus = 6.78359451265649219941439576142 Theorem 4: I1(1459) = 0.574742134622758491795895031406 Theorem 4: I1prime(1459) = 0.579739052694447645188209749738 Theorem 4: I3(1459) = 0.564359066266985449326570370988 Theorem 4: I3prime(1459) = 0.569355984338674602718885089320 --------- EK(1471) = 8.34628942043370256999817984383 EK(1471)plus = 9.01019818258302421240892433436 gammaK3(1471) = -2.66381473140526984581401307801 gammaK3(1471)plus = 1.78260121608930158444942290657 gammaK5(1471) = 7.53164863811099108903042975540 gammaK5(1471)plus = 5.66106773163871678624753081630 Theorem 4: I1(1471) = 0.570631264463531495506737479230 Theorem 4: I1prime(1471) = 0.575592963593192337355746607672 Theorem 4: I3(1471) = 0.564493259059260342531896032900 Theorem 4: I3prime(1471) = 0.569454958188921184380905161342 Theorem 4: I5(1471) = 0.564305976043382849295921474417 Theorem 4: I5prime(1471) = 0.569267675173043691144930602859 --------- EK(1481) = 5.63145145084987739717213205633 EK(1481)plus = 6.71729253383673427642038430070 gammaK2(1481) = 6.71729253383673427642038430070 gammaK2(1481)plus = 7.52466596696322382655084937193 gammaK4(1481) = 7.52466596696322382655084937193 gammaK4(1481)plus = 7.49855293466237169033624906729 gammaK5(1481) = 7.39991709973773359802211178444 gammaK5(1481)plus = 5.89918936463857565385342936547 Theorem 4: I1(1481) = 0.571939944382123993409117968500 Theorem 4: I1prime(1481) = 0.576872696283656289883781364898 Theorem 4: I2(1481) = 0.565949486317760906994139147056 Theorem 4: I2prime(1481) = 0.570882238219293203468802543454 Theorem 4: I4(1481) = 0.557006549619740828577873408571 Theorem 4: I4prime(1481) = 0.561939301521273125052536804969 Theorem 4: I5(1481) = 0.562339332531799921396514082167 Theorem 4: I5prime(1481) = 0.567272084433332217871177478565 --------- EK(1483) = 8.72758225726439215313834211544 EK(1483)plus = 8.68598262652724121688688014773 gammaK3(1483) = 7.84826154185971332471924529663 gammaK3(1483)plus = 8.08427177845256375152064165252 Theorem 4: I1(1483) = 0.571379423335123236285147417576 Theorem 4: I1prime(1483) = 0.576306428964096199912173891780 Theorem 4: I3(1483) = 0.560363015062111024286777141737 Theorem 4: I3prime(1483) = 0.565290020691083987913803615940 --------- EK(1487) = 7.76431965734301735103354148069 EK(1487)plus = 8.70071729833447577635903762241 Theorem 4: I1(1487) = 0.570727084487572868658887628372 Theorem 4: I1prime(1487) = 0.575642640306186701144303965737 --------- EK(1489) = 9.08845015493971856008184530212 EK(1489)plus = 8.74205813995854100162419999037 gammaK2(1489) = 8.74205813995854100162419999037 gammaK2(1489)plus = 7.21230786317345111421077820613 gammaK3(1489) = 6.97530939473835838565786408958 gammaK3(1489)plus = 6.67288961352710255720090084670 gammaK4(1489) = 7.21230786317345111421077820613 gammaK4(1489)plus = 4.31312802909361313186040840300 gammaK6(1489) = 6.67288961352710255720090084670 gammaK6(1489)plus = 6.37475190398252244759414588190 Theorem 4: I1(1489) = 0.571570116529792359170102912812 Theorem 4: I1prime(1489) = 0.576479968702295053380404013019 Theorem 4: I2(1489) = 0.569571219419596215551394270832 Theorem 4: I2prime(1489) = 0.574481071592098909761695371039 Theorem 4: I3(1489) = 0.564362076827967639995717253986 Theorem 4: I3prime(1489) = 0.569271929000470334206018354193 Theorem 4: I4(1489) = 0.573401530366085877155650961856 Theorem 4: I4prime(1489) = 0.578311382538588571365952062063 Theorem 4: I6(1489) = 0.552693390520039130637973009367 Theorem 4: I6prime(1489) = 0.557603242692541824848274109575 --------- EK(1493) = 9.79004803565318393309240612724 EK(1493)plus = 9.44194051042255602669816560377 gammaK2(1493) = 9.44194051042255602669816560377 gammaK2(1493)plus = 6.78387154450629211987368949176 Theorem 4: I1(1493) = 0.571117319410700658142486357052 Theorem 4: I1prime(1493) = 0.576015806540418614164954958762 Theorem 4: I2(1493) = 0.571678532105661887189525921206 Theorem 4: I2prime(1493) = 0.576577019235379843211994522917 --------- EK(1499) = 4.88185130370127593135473142768 EK(1499)plus = 7.40836571501446104628496688993 Theorem 4: I1(1499) = 0.570580309981159761205974323965 Theorem 4: I1prime(1499) = 0.575461854372416501996345615643 --------- EK(1511) = 4.62998928736330924547279654475 EK(1511)plus = 5.51598916041510003148091838613 gammaK5(1511) = 4.49543955675634133007515442925 gammaK5(1511)plus = 3.76227650868712911988507094753 Theorem 4: I1(1511) = 0.572972726448176745579110793300 Theorem 4: I1prime(1511) = 0.577820757549019619466028706759 Theorem 4: I5(1511) = 0.567169434796503854700611741144 Theorem 4: I5prime(1511) = 0.572017465897346728587529654603 --------- EK(1523) = 9.82358016643601785961116963806 EK(1523)plus = 8.29585597694570588650867480149 Theorem 4: I1(1523) = 0.572765634157586429421140217091 Theorem 4: I1prime(1523) = 0.577580638988660780150950945050 --------- EK(1531) = 8.44399688955977585182618076647 EK(1531)plus = 6.96786808935238269214496256151 gammaK3(1531) = 7.72205535508097071422329007409 gammaK3(1531)plus = 4.21615138953475995990728155042 gammaK5(1531) = 7.36248754616761231768741119136 gammaK5(1531)plus = 4.01401356058402195339204324373 Theorem 4: I1(1531) = 0.573623159972322944903823502224 Theorem 4: I1prime(1531) = 0.578416412518504437553618568713 Theorem 4: I3(1531) = 0.575813624359307898453098231076 Theorem 4: I3prime(1531) = 0.580606876905489391102893297565 Theorem 4: I5(1531) = 0.575025034746151772104072644453 Theorem 4: I5prime(1531) = 0.579818287292333264753867710942 --------- EK(1543) = 8.00500089257832137731775953728 EK(1543)plus = 7.10649517918566286786551137936 gammaK3(1543) = 6.41663222081116173143435240055 gammaK3(1543)plus = 7.21818979182350367147540602668 Theorem 4: I1(1543) = 0.573186643838002091412633867090 Theorem 4: I1prime(1543) = 0.577947658009443829959590499939 Theorem 4: I3(1543) = 0.561603780899573157590824509760 Theorem 4: I3prime(1543) = 0.566364795071014896137781142609 --------- EK(1549) = 7.69179374368745123879177445316 EK(1549)plus = 7.48395194663556387745975939833 gammaK2(1549) = 7.48395194663556387745975939833 gammaK2(1549)plus = 6.98283532272279726094912201060 gammaK3(1549) = 7.20993954396159389251633035874 gammaK3(1549)plus = 7.69826115150196911891784714004 gammaK6(1549) = 7.69826115150196911891784714004 gammaK6(1549)plus = 7.58982122950002963266411364116 Theorem 4: I1(1549) = 0.572512270058309317969352175531 Theorem 4: I1prime(1549) = 0.577257337784676804165155558269 Theorem 4: I2(1549) = 0.568835220758720976716803707646 Theorem 4: I2prime(1549) = 0.573580288485088462912607090385 Theorem 4: I3(1549) = 0.561340998570585744653963316237 Theorem 4: I3prime(1549) = 0.566086066296953230849766698976 Theorem 4: I6(1549) = 0.548199671199112482185557890373 Theorem 4: I6prime(1549) = 0.552944738925479968381361273112 --------- EK(1553) = 8.27063670468440284491619523973 EK(1553)plus = 7.51304486999987478254733251542 gammaK2(1553) = 7.51304486999987478254733251542 gammaK2(1553)plus = 6.87036034624354978643012279927 gammaK4(1553) = 6.87036034624354978643012279927 gammaK4(1553)plus = 6.64196673303323444173785854089 Theorem 4: I1(1553) = 0.572859873963903095057575211344 Theorem 4: I1prime(1553) = 0.577594373849952506829141222270 Theorem 4: I2(1553) = 0.569184208300536373232691885064 Theorem 4: I2prime(1553) = 0.573918708186585785004257895990 Theorem 4: I4(1553) = 0.560673634953829333521931780048 Theorem 4: I4prime(1553) = 0.565408134839878745293497790974 --------- EK(1559) = 3.97546458934909883519214667744 EK(1559)plus = 6.37268225763334003731925047538 Theorem 4: I1(1559) = 0.571583688863143624650315648811 Theorem 4: I1prime(1559) = 0.576302430755992004958016876974 --------- EK(1567) = 5.81101028605794247899875447834 EK(1567)plus = 7.48400771699580370915132899714 gammaK3(1567) = 4.03754780055401799199707467908 gammaK3(1567)plus = 6.21154703410500745825361384459 Theorem 4: I1(1567) = 0.571365279810662499486112808051 Theorem 4: I1prime(1567) = 0.576063184179983074727484953644 Theorem 4: I3(1567) = 0.561142400204166351986298440359 Theorem 4: I3prime(1567) = 0.565840304573486927227670585953 --------- EK(1571) = 8.93778151499377132354300775638 EK(1571)plus = 9.34240903883084988096202139713 gammaK5(1571) = 8.59206322954485893955252626096 gammaK5(1571)plus = 3.58919636743339613311569927733 Theorem 4: I1(1571) = 0.571004375652059493220648457479 Theorem 4: I1prime(1571) = 0.575691934657317850645516607556 Theorem 4: I5(1571) = 0.581702871703038619574334572745 Theorem 4: I5prime(1571) = 0.586390430708296976999202722823 --------- EK(1579) = 6.99795835704506501923629071914 EK(1579)plus = 7.84736618497330540867742254564 gammaK3(1579) = 7.21533796248686688818541106841 gammaK3(1579)plus = 8.13467468572595049795453165908 Theorem 4: I1(1579) = 0.571701443718884847562967500768 Theorem 4: I1prime(1579) = 0.576368457035903632157775067309 Theorem 4: I3(1579) = 0.559993842805939604157237451648 Theorem 4: I3prime(1579) = 0.564660856122958388752045018190 --------- EK(1583) = 5.73966855433405310161179341891 EK(1583)plus = 7.02327251850648629008002399444 Theorem 4: I1(1583) = 0.571961851187892070960026253544 Theorem 4: I1prime(1583) = 0.576618663488701813152365086691 --------- EK(1597) = 6.96476792166513327524854606473 EK(1597)plus = 8.04759422287196680742163747969 gammaK2(1597) = 8.04759422287196680742163747969 gammaK2(1597)plus = 6.76826953312741902467779830835 gammaK3(1597) = 6.92785410017549772559806232992 gammaK3(1597)plus = 1.20618630558869440553476859249 gammaK6(1597) = 1.20618630558869440553476859249 gammaK6(1597)plus = 3.84994959780294242224263350608 Theorem 4: I1(1597) = 0.571491954372634651599334451331 Theorem 4: I1prime(1597) = 0.576113434415375887460117004634 Theorem 4: I2(1597) = 0.570331496576438108128072564155 Theorem 4: I2prime(1597) = 0.574952976619179343988855117458 Theorem 4: I3(1597) = 0.585694725068742198348368749089 Theorem 4: I3prime(1597) = 0.590316205111483434209151302393 Theorem 4: I6(1597) = 0.552785836442660937016995996199 Theorem 4: I6prime(1597) = 0.557407316485402172877778549503 --------- EK(1601) = 4.27326464988516000764576285702 EK(1601)plus = 6.73447986801891544347537699779 gammaK2(1601) = 6.73447986801891544347537699779 gammaK2(1601)plus = 8.00947081065852884355347747384 gammaK4(1601) = 8.00947081065852884355347747384 gammaK4(1601)plus = 5.35353521714814394944420050808 gammaK5(1601) = -4.58277816273929016462724744479 gammaK5(1601)plus = 1.37527511907011102106483181371 Theorem 4: I1(1601) = 0.571465473291549551965272201423 Theorem 4: I1prime(1601) = 0.576076963112172498644102917684 Theorem 4: I2(1601) = 0.565604323347634404118624079250 Theorem 4: I2prime(1601) = 0.570215813168257350797454795511 Theorem 4: I4(1601) = 0.570460137117886905601477704436 Theorem 4: I4prime(1601) = 0.575071626938509852280308420697 Theorem 4: I5(1601) = 0.554284602743094938252025396993 Theorem 4: I5prime(1601) = 0.558896092563717884930856113255 --------- EK(1607) = 8.23617169152292026281621855426 EK(1607)plus = 7.30608395949908589176027506860 Theorem 4: I1(1607) = 0.573242693034789766351144392023 Theorem 4: I1prime(1607) = 0.577839283548947619767335892899 --------- EK(1609) = 8.56358313917407132358401475640 EK(1609)plus = 6.95699978241662895198159620412 gammaK2(1609) = 6.95699978241662895198159620412 gammaK2(1609)plus = 2.70463730986942618294776115531 gammaK3(1609) = 8.04454388876984431736755702294 gammaK3(1609)plus = 1.19196927125744530007380127753 gammaK4(1609) = 2.70463730986942618294776115531 gammaK4(1609)plus = 4.89488284378457114631842056461 gammaK6(1609) = 1.19196927125744530007380127753 gammaK6(1609)plus = 1.00387648600730455199501638171 Theorem 4: I1(1609) = 0.573885436000713974469543382371 Theorem 4: I1prime(1609) = 0.578477082858296302336047731154 Theorem 4: I2(1609) = 0.579134985194841559932655833297 Theorem 4: I2prime(1609) = 0.583726632052423887799160182080 Theorem 4: I3(1609) = 0.587767929266080195288141661200 Theorem 4: I3prime(1609) = 0.592359576123662523154646009983 Theorem 4: I4(1609) = 0.559579545437459978921050437538 Theorem 4: I4prime(1609) = 0.564171192295042306787554786322 Theorem 4: I6(1609) = 0.574154562858194255637173523535 Theorem 4: I6prime(1609) = 0.578746209715776583503677872318 --------- EK(1613) = 9.15969323908259070464001305650 EK(1613)plus = 7.33045989949419068640246399659 gammaK2(1613) = 7.33045989949419068640246399659 gammaK2(1613)plus = -7.33371723281291595976403008458 Theorem 4: I1(1613) = 0.573800151034672703624008293112 Theorem 4: I1prime(1613) = 0.578381944507455091255214072479 Theorem 4: I2(1613) = 0.604502653203824721919538539693 Theorem 4: I2prime(1613) = 0.609084446676607109550744319060 --------- EK(1619) = 7.69295585724007942640326036967 EK(1619)plus = 7.81914802373517738356082438591 Theorem 4: I1(1619) = 0.572302248778014277509213400568 Theorem 4: I1prime(1619) = 0.576869346400806388220104633260 --------- EK(1621) = 10.4613754351246939516617798824 EK(1621)plus = 9.69028997862388551057003849821 gammaK2(1621) = 9.69028997862388551057003849821 gammaK2(1621)plus = 7.87830231455494187365176686193 gammaK3(1621) = 9.19001007397174576846747896236 gammaK3(1621)plus = 8.68075555364565101789672491172 gammaK5(1621) = 1.39500964842230234706255145722 gammaK5(1621)plus = 3.94344702407931356251989179428 gammaK6(1621) = 8.68075555364565101789672491172 gammaK6(1621)plus = 1.16431715541204381164075871290 Theorem 4: I1(1621) = 0.571707166911759533168371025149 Theorem 4: I1prime(1621) = 0.576269388221472913478599102579 Theorem 4: I2(1621) = 0.569720755183266549968186505758 Theorem 4: I2prime(1621) = 0.574282976492979930278414583187 Theorem 4: I3(1621) = 0.562074807022589768666445055011 Theorem 4: I3prime(1621) = 0.566637028332303148976673132440 Theorem 4: I5(1621) = 0.557164903725464841599452027710 Theorem 4: I5prime(1621) = 0.561727125035178221909680105139 Theorem 4: I6(1621) = 0.600725142758984156955789791595 Theorem 4: I6prime(1621) = 0.605287364068697537266017869025 --------- EK(1627) = 10.0282988568223471889081490066 EK(1627)plus = 7.93765192749414002886235155288 gammaK3(1627) = 9.25218967137194655738572350025 gammaK3(1627)plus = 8.83310526224068216304404981246 Theorem 4: I1(1627) = 0.573616924030128518692407852070 Theorem 4: I1prime(1627) = 0.578164582767655602209344760326 Theorem 4: I3(1627) = 0.561683250673032962355184944265 Theorem 4: I3prime(1627) = 0.566230909410560045872121852520 --------- EK(1637) = 10.5754119929119950191287609600 EK(1637)plus = 8.84947273796792056920728656610 gammaK2(1637) = 8.84947273796792056920728656610 gammaK2(1637)plus = 6.00286148124141143998927736651 Theorem 4: I1(1637) = 0.572858661790448673151699944268 Theorem 4: I1prime(1637) = 0.577382268500333229938558323963 Theorem 4: I2(1637) = 0.573351638212994001355218536847 Theorem 4: I2prime(1637) = 0.577875244922878558142076916542 --------- EK(1657) = 10.0330074959461766343397112810 EK(1657)plus = 7.10850288804696062401871003359 gammaK2(1657) = 7.10850288804696062401871003359 gammaK2(1657)plus = 6.11949698952140064941387428789 gammaK3(1657) = 8.18628324963045393479886641222 gammaK3(1657)plus = -8.92830941036000782223409696771 gammaK4(1657) = 6.11949698952140064941387428789 gammaK4(1657)plus = 1.49672089313305700321462999074 gammaK6(1657) = -8.92830941036000782223409696771 gammaK6(1657)plus = -0.797868593529319857001777413591 Theorem 4: I1(1657) = 0.574686392807981198212408920276 Theorem 4: I1prime(1657) = 0.579162699581789509149549333933 Theorem 4: I2(1657) = 0.571014013454951158932905593759 Theorem 4: I2prime(1657) = 0.575490320228759469870046007416 Theorem 4: I3(1657) = 0.624386726067432609281022814601 Theorem 4: I3prime(1657) = 0.628863032841240920218163228258 Theorem 4: I4(1657) = 0.584755710545207929041409370017 Theorem 4: I4prime(1657) = 0.589232017319016239978549783674 Theorem 4: I6(1657) = 0.550632155734593815609527733002 Theorem 4: I6prime(1657) = 0.555108462508402126546668146660 --------- EK(1663) = 6.59381333482469253347082033121 EK(1663)plus = 8.83129648016497063325304050895 gammaK3(1663) = 7.97773481139915012578936965414 gammaK3(1663)plus = 8.66086706116914479810385695488 Theorem 4: I1(1663) = 0.570553064452018293348159702291 Theorem 4: I1prime(1663) = 0.575015386039980343694567525424 Theorem 4: I3(1663) = 0.560341185420437009485998097160 Theorem 4: I3prime(1663) = 0.564803507008399059832405920293 --------- EK(1667) = 8.27623263559886758946890232843 EK(1667)plus = 9.75893138596063817151132207040 Theorem 4: I1(1667) = 0.570465314849869019640081391511 Theorem 4: I1prime(1667) = 0.574918364599419316159883398991 --------- EK(1669) = 9.00354192022849086088943616151 EK(1669)plus = 9.33005710977162020913347736551 gammaK2(1669) = 9.33005710977162020913347736551 gammaK2(1669)plus = 6.11085410118916736512850746035 gammaK3(1669) = 6.66936226901173482939321753391 gammaK3(1669)plus = 7.74682311912303572008060354151 gammaK6(1669) = 7.74682311912303572008060354151 gammaK6(1669)plus = 6.53718344201289003128004070862 Theorem 4: I1(1669) = 0.571423686047500739505988903700 Theorem 4: I1prime(1669) = 0.575872115258329177801145220561 Theorem 4: I2(1669) = 0.573743123508466262333827804864 Theorem 4: I2prime(1669) = 0.578191552719294700628984121726 Theorem 4: I3(1669) = 0.561336649796415657280858950036 Theorem 4: I3prime(1669) = 0.565785079007244095576015266897 Theorem 4: I6(1669) = 0.558035836865153102402286787231 Theorem 4: I6prime(1669) = 0.562484266075981540697443104093 --------- EK(1693) = 8.72537119305576525157209283092 EK(1693)plus = 9.44493056380810725103467031023 gammaK2(1693) = 9.44493056380810725103467031023 gammaK2(1693)plus = 6.38399773838662925287094077098 gammaK3(1693) = -1.28634390432609545738786794601 gammaK3(1693)plus = 3.36591699397528429573833215766 gammaK6(1693) = 3.36591699397528429573833215766 gammaK6(1693)plus = 4.59355451517222133351500592426 Theorem 4: I1(1693) = 0.571205686353247502563951593448 Theorem 4: I1prime(1693) = 0.575599455491624060079064108812 Theorem 4: I2(1693) = 0.573282498610630345462041258230 Theorem 4: I2prime(1693) = 0.577676267749006902977153773594 Theorem 4: I3(1693) = 0.562991247062144490737044634805 Theorem 4: I3prime(1693) = 0.567385016200521048252157150168 Theorem 4: I6(1693) = 0.556557559208243729653296514883 Theorem 4: I6prime(1693) = 0.560951328346620287168409030247 --------- EK(1697) = 9.53697322070886771712400041017 EK(1697)plus = 9.27588308494435641552098225781 gammaK2(1697) = 9.27588308494435641552098225781 gammaK2(1697)plus = 5.08767070336437492361916337094 gammaK4(1697) = 5.08767070336437492361916337094 gammaK4(1697)plus = 3.55108110995162648879114786629 Theorem 4: I1(1697) = 0.571897753494047207787337039208 Theorem 4: I1prime(1697) = 0.576282551409869275190259217220 Theorem 4: I2(1697) = 0.576149812166037323461323096377 Theorem 4: I2prime(1697) = 0.580534610081859390864245274389 Theorem 4: I4(1697) = 0.572454164159894416924044980319 Theorem 4: I4prime(1697) = 0.576838962075716484326967158331 --------- EK(1699) = 8.81903594960603013703900112032 EK(1699)plus = 8.04577500178444150446318226734 gammaK3(1699) = -3.17815120149588629695261344390 gammaK3(1699)plus = 1.86919259973980320937286175813 Theorem 4: I1(1699) = 0.572930096950478895604906806385 Theorem 4: I1prime(1699) = 0.577310423877258596443315109912 Theorem 4: I3(1699) = 0.564987896831034146089662716825 Theorem 4: I3prime(1699) = 0.569368223757813846928071020352 --------- EK(1709) = 9.23562003201934920015822115109 EK(1709)plus = 8.91517861454247397174679844249 gammaK2(1709) = 8.91517861454247397174679844249 gammaK2(1709)plus = 5.34378704297685284636595435420 Theorem 4: I1(1709) = 0.572181065771570279830652737584 Theorem 4: I1prime(1709) = 0.576539182682059501663051070834 Theorem 4: I2(1709) = 0.575135157186870423905320628022 Theorem 4: I2prime(1709) = 0.579493274097359645737718961272 --------- EK(1721) = 10.0997547217097467099288959789 EK(1721)plus = 8.14618716367869837802334257677 gammaK2(1721) = 8.14618716367869837802334257677 gammaK2(1721)plus = 7.19853488798958758971350410965 gammaK4(1721) = 7.19853488798958758971350410965 gammaK4(1721)plus = 5.81111098338382031759557479875 gammaK5(1721) = 7.29987531294758928026521277929 gammaK5(1721)plus = 6.17823138678357912981761618876 Theorem 4: I1(1721) = 0.573612786189218714575298897917 Theorem 4: I1prime(1721) = 0.577944565721899842144200247553 Theorem 4: I2(1721) = 0.569942159794750118828637012185 Theorem 4: I2prime(1721) = 0.574273939327431246397538361821 Theorem 4: I4(1721) = 0.566917946626391618343613143949 Theorem 4: I4prime(1721) = 0.571249726159072745912514493585 Theorem 4: I5(1721) = 0.562503690366206552156108250118 Theorem 4: I5prime(1721) = 0.566835469898887679725009599754 --------- EK(1723) = 8.89920721322963551000319169375 EK(1723)plus = 8.11840127213254876701287646571 gammaK3(1723) = -44.6169627395482452133323785467 gammaK3(1723)plus = -18.2486120438170801130993118381 Theorem 4: I1(1723) = 0.572952062837690208929644565937 Theorem 4: I1prime(1723) = 0.577279485739274372472959907483 Theorem 4: I3(1723) = 0.563062239684083959647144371943 Theorem 4: I3prime(1723) = 0.567389662585668123190459713490 --------- EK(1733) = 4.41836691226568492848535789641 EK(1733)plus = 7.00033369449112252446676201680 gammaK2(1733) = 7.00033369449112252446676201680 gammaK2(1733)plus = 5.50431604918145277448175944961 Theorem 4: I1(1733) = 0.571680672837010809401275996574 Theorem 4: I1prime(1733) = 0.575986451872643376422023816154 Theorem 4: I2(1733) = 0.572582172773464251378431830611 Theorem 4: I2prime(1733) = 0.576887951809096818399179650191 --------- EK(1741) = 10.7694421444504272667320530565 EK(1741)plus = 8.51033114522470041654339801221 gammaK2(1741) = 8.51033114522470041654339801221 gammaK2(1741)plus = -21.9073359860005085359760298848 gammaK3(1741) = 8.85943296073924091521371071037 gammaK3(1741)plus = 8.15718782417860893299070122077 gammaK5(1741) = 0.886348682678718809578898523255 gammaK5(1741)plus = 1.09310964903673551966878897154 gammaK6(1741) = 8.15718782417860893299070122077 gammaK6(1741)plus = -1.80163403253299319905176256052 Theorem 4: I1(1741) = 0.573620544915742801749827168196 Theorem 4: I1prime(1741) = 0.577909174191471646026848282800 Theorem 4: I2(1741) = 0.637354417186532847553889603493 Theorem 4: I2prime(1741) = 0.641643046462261691830910718097 Theorem 4: I3(1741) = 0.564354921251716126477124654141 Theorem 4: I3prime(1741) = 0.568643550527444970754145768745 Theorem 4: I5(1741) = 0.573468080865123432232846283949 Theorem 4: I5prime(1741) = 0.577756710140852276509867398553 Theorem 4: I6(1741) = 0.617754172694528951940364521900 Theorem 4: I6prime(1741) = 0.622042801970257796217385636504 --------- EK(1747) = 8.89482767168105247340154336614 EK(1747)plus = 9.01806482814581203083388640815 gammaK3(1747) = 7.75614816693231151722587733336 gammaK3(1747)plus = 8.17935017526845100772137721309 Theorem 4: I1(1747) = 0.571977647807169507404600856329 Theorem 4: I1prime(1747) = 0.576253509955012609675385539679 Theorem 4: I3(1747) = 0.562427300561752046859969715897 Theorem 4: I3prime(1747) = 0.566703162709595149130754399247 --------- EK(1753) = 8.00249114201514926332832796115 EK(1753)plus = 9.04825221320626629901640437426 gammaK2(1753) = 9.04825221320626629901640437426 gammaK2(1753)plus = 7.64566738814969609784646634940 gammaK3(1753) = 5.22806627716573884853861265414 gammaK3(1753)plus = 5.39856679776892093078095351872 gammaK4(1753) = 7.64566738814969609784646634940 gammaK4(1753)plus = 8.35606229947495588926695430467 gammaK6(1753) = 5.39856679776892093078095351872 gammaK6(1753)plus = 4.06968214929868630618295174157 Theorem 4: I1(1753) = 0.571451808474517571870318614354 Theorem 4: I1prime(1753) = 0.575714984207920102976807302290 Theorem 4: I2(1753) = 0.570083991683694357835070289840 Theorem 4: I2prime(1753) = 0.574347167417096888941558977775 Theorem 4: I3(1753) = 0.567672290767790556592591228659 Theorem 4: I3prime(1753) = 0.571935466501193087699079916594 Theorem 4: I4(1753) = 0.556506257626341951447165215772 Theorem 4: I4prime(1753) = 0.560769433359744482553653903707 Theorem 4: I6(1753) = 0.567814772173581305083596204287 Theorem 4: I6prime(1753) = 0.572077947906983836190084892222 --------- EK(1759) = 9.97175399245918877825211297937 EK(1759)plus = 7.19581975352684530118268116007 gammaK3(1759) = 6.67486957512307930296419153562 gammaK3(1759)plus = 3.10426440967134509943782343520 Theorem 4: I1(1759) = 0.574699091474999104384359533008 Theorem 4: I1prime(1759) = 0.578949660726840718815305528839 Theorem 4: I3(1759) = 0.578004214707895569633231541737 Theorem 4: I3prime(1759) = 0.582254783959737184064177537568 --------- EK(1777) = 5.65249982549309814196231816539 EK(1777)plus = 7.61274431858708864277127373540 gammaK2(1777) = 7.61274431858708864277127373540 gammaK2(1777)plus = 6.59481598417297396622173445461 gammaK3(1777) = 8.27790404814032067573942129731 gammaK3(1777)plus = 8.74669226094846555347284525798 gammaK4(1777) = 6.59481598417297396622173445461 gammaK4(1777)plus = -0.0618482762353841477833946805077 gammaK6(1777) = 8.74669226094846555347284525798 gammaK6(1777)plus = 6.36343665095911340843893836633 Theorem 4: I1(1777) = 0.571823096189015312058069750042 Theorem 4: I1prime(1777) = 0.576036317939102390511436357166 Theorem 4: I2(1777) = 0.570930641397581344426190511500 Theorem 4: I2prime(1777) = 0.575143863147668422879557118625 Theorem 4: I3(1777) = 0.561641857983447222921276218755 Theorem 4: I3prime(1777) = 0.565855079733534301374642825880 Theorem 4: I4(1777) = 0.592337960655797849758167849561 Theorem 4: I4prime(1777) = 0.596551182405884928211534456686 Theorem 4: I6(1777) = 0.563754873473425264856990474941 Theorem 4: I6prime(1777) = 0.567968095223512343310357082066 --------- EK(1783) = 8.33574942269925630952520455963 EK(1783)plus = 9.57975500157485348262611821502 gammaK3(1783) = -7.54002766159262673932904338796 gammaK3(1783)plus = 0.436188079030506071334621235346 Theorem 4: I1(1783) = 0.571139367759083121222110081895 Theorem 4: I1prime(1783) = 0.575340295154068048499456800980 Theorem 4: I3(1783) = 0.563046296640508241398977355103 Theorem 4: I3prime(1783) = 0.567247224035493168676324074188 --------- EK(1787) = 9.16229114226421898061060935143 EK(1787)plus = 9.34795749143585219797829165770 Theorem 4: I1(1787) = 0.571875342049275183820959447357 Theorem 4: I1prime(1787) = 0.576068115574000507472005391430 --------- EK(1789) = 9.05196908260277244925222584497 EK(1789)plus = 8.80266814073454869280694489496 gammaK2(1789) = 8.80266814073454869280694489496 gammaK2(1789)plus = 7.27918850414552087796684890933 gammaK3(1789) = 7.76873478621811842099141944879 gammaK3(1789)plus = 6.87177482049500371890278586191 gammaK6(1789) = 6.87177482049500371890278586191 gammaK6(1789)plus = 5.80889355978899462647719565572 Theorem 4: I1(1789) = 0.572429559807525427975419851519 Theorem 4: I1prime(1789) = 0.576618269026490036006678457518 Theorem 4: I2(1789) = 0.570772826448763892294254806492 Theorem 4: I2prime(1789) = 0.574961535667728500325513412491 Theorem 4: I3(1789) = 0.567183779727051562578247977866 Theorem 4: I3prime(1789) = 0.571372488946016170609506583864 Theorem 4: I6(1789) = 0.561275393061593430599522613386 Theorem 4: I6prime(1789) = 0.565464102280558038630781219384 --------- EK(1801) = 9.30148097173923961267704589935 EK(1801)plus = 8.58676431580111608674879306994 gammaK2(1801) = 8.58676431580111608674879306994 gammaK2(1801)plus = 5.20748135096090438660597444596 gammaK3(1801) = -25.9636022922008521995155053061 gammaK3(1801)plus = -9.59885299438968020912565292372 gammaK4(1801) = 5.20748135096090438660597444596 gammaK4(1801)plus = 5.29716828335944663242417036451 gammaK5(1801) = 0.389708829131598586323686988476 gammaK5(1801)plus = 3.66438990835861971483731678680 gammaK6(1801) = -9.59885299438968020912565292372 gammaK6(1801)plus = -3.68211954811000651053258294436 Theorem 4: I1(1801) = 0.572839991480206143765291282533 Theorem 4: I1prime(1801) = 0.577004490005303897142204630884 Theorem 4: I2(1801) = 0.575179706140815315673356457671 Theorem 4: I2prime(1801) = 0.579344204665913069050269806022 Theorem 4: I3(1801) = 0.565932230231621878048776902071 Theorem 4: I3prime(1801) = 0.570096728756719631425690250422 Theorem 4: I4(1801) = 0.565235621092014890314024802013 Theorem 4: I4prime(1801) = 0.569400119617112643690938150364 Theorem 4: I5(1801) = 0.557928899662336364504490256934 Theorem 4: I5prime(1801) = 0.562093398187434117881403605285 Theorem 4: I6(1801) = 0.569753070245883644135054088805 Theorem 4: I6prime(1801) = 0.573917568770981397511967437156 --------- EK(1811) = 3.63641046891040858112500340160 EK(1811)plus = 5.83735927416175015472161772609 gammaK5(1811) = -0.0632065652523543197070390611043 gammaK5(1811)plus = 2.24871722668468376727896898832 Theorem 4: I1(1811) = 0.572772320907700077894861657499 Theorem 4: I1prime(1811) = 0.576916870331945057663912582455 Theorem 4: I5(1811) = 0.564605760017427979849512012837 Theorem 4: I5prime(1811) = 0.568750309441672959618562937793 --------- EK(1823) = 7.66333688189929985875232062387 EK(1823)plus = 7.43790563456395178713429334037 Theorem 4: I1(1823) = 0.573254855206301267890847447222 Theorem 4: I1prime(1823) = 0.577375732689659480315560681372 --------- EK(1831) = 7.89504704124291286466360731441 EK(1831)plus = 8.62708481209638099916023721411 gammaK3(1831) = 6.83897596085602175948109773934 gammaK3(1831)plus = 5.33933365847806174862290474793 gammaK5(1831) = 4.44358218264550533629631126843 gammaK5(1831)plus = 5.93800449927177027331988744488 Theorem 4: I1(1831) = 0.572099146957030815628966191511 Theorem 4: I1prime(1831) = 0.576204402445923990881093463790 Theorem 4: I3(1831) = 0.570914358980895164027795960527 Theorem 4: I3prime(1831) = 0.575019614469788339279923232807 Theorem 4: I5(1831) = 0.556897271263863657367179874526 Theorem 4: I5prime(1831) = 0.561002526752756832619307146806 --------- EK(1847) = 8.50212479956515200518271869798 EK(1847)plus = 9.59628407376644476744842232808 Theorem 4: I1(1847) = 0.571422318349669782016684273724 Theorem 4: I1prime(1847) = 0.575496705121175329124707313557 --------- EK(1861) = 10.1884761022555150750962575053 EK(1861)plus = 8.59134385756659876370780490186 gammaK2(1861) = 8.59134385756659876370780490186 gammaK2(1861)plus = -22.8208535682135118239783694727 gammaK3(1861) = 8.98926371833565208247971484503 gammaK3(1861)plus = 8.11189360367814090307764964261 gammaK5(1861) = 5.59699734998988903556652482407 gammaK5(1861)plus = 4.08791091256973407231071552789 gammaK6(1861) = 8.11189360367814090307764964261 gammaK6(1861)plus = -2.33307247390445103160682160298 Theorem 4: I1(1861) = 0.573453159852044731455144537978 Theorem 4: I1prime(1861) = 0.577500939022282500679439154157 Theorem 4: I2(1861) = 0.635526421046504241942469347320 Theorem 4: I2prime(1861) = 0.639574200216742011166763963499 Theorem 4: I3(1861) = 0.565540549952837913037318736766 Theorem 4: I3prime(1861) = 0.569588329123075682261613352945 Theorem 4: I5(1861) = 0.570272459916802170073503485653 Theorem 4: I5prime(1861) = 0.574320239087039939297798101831 Theorem 4: I6(1861) = 0.618422086747716103177695955348 Theorem 4: I6prime(1861) = 0.622469865917953872401990571527 --------- EK(1867) = 9.04113922856619041412454967855 EK(1867)plus = 7.03759168832241345827201151236 gammaK3(1867) = 7.76401594590377955523937100108 gammaK3(1867)plus = 5.66025447165749961529264498496 Theorem 4: I1(1867) = 0.574515728868895378272982092579 Theorem 4: I1prime(1867) = 0.578552217691800910220484086955 Theorem 4: I3(1867) = 0.571491340968680569276458358630 Theorem 4: I3prime(1867) = 0.575527829791586101223960353006 --------- EK(1871) = 7.89103262374719615239257787061 EK(1871)plus = 9.23401267985730208844158642412 gammaK5(1871) = -3.50652200804283219774846677920 gammaK5(1871)plus = 2.77263982225935501079913709438 Theorem 4: I1(1871) = 0.571557364508446033103462788619 Theorem 4: I1prime(1871) = 0.575586363613405439315061547174 Theorem 4: I5(1871) = 0.553002213961248096901810646963 Theorem 4: I5prime(1871) = 0.557031213066207503113409405518 --------- EK(1873) = 7.87259718097180561271675393127 EK(1873)plus = 8.62322823468801117005482297513 gammaK2(1873) = 8.62322823468801117005482297513 gammaK2(1873)plus = 7.99472537694615430484769221042 gammaK3(1873) = 4.44104493729498446993104168931 gammaK3(1873)plus = 5.33606554919051780097225547517 gammaK4(1873) = 7.99472537694615430484769221042 gammaK4(1873)plus = 8.12561502714595834350936441659 gammaK6(1873) = 5.33606554919051780097225547517 gammaK6(1873)plus = 6.10334343594170888473678720732 Theorem 4: I1(1873) = 0.572206111186929912470065605259 Theorem 4: I1prime(1873) = 0.576231376519432096504993174969 Theorem 4: I2(1873) = 0.569341468550532006307713490707 Theorem 4: I2prime(1873) = 0.573366733883034190342641060417 Theorem 4: I3(1873) = 0.567223499154067230292331966956 Theorem 4: I3prime(1873) = 0.571248764486569414327259536666 Theorem 4: I4(1873) = 0.559564959895810073071883961466 Theorem 4: I4prime(1873) = 0.563590225228312257106811531176 Theorem 4: I6(1873) = 0.555181541221964263963767710245 Theorem 4: I6prime(1873) = 0.559206806554466447998695279955 --------- EK(1877) = 8.73103774843737552630694557672 EK(1877)plus = 7.70733845030693005322518491699 gammaK2(1877) = 7.70733845030693005322518491699 gammaK2(1877)plus = -9.70014667205779605131611380942 Theorem 4: I1(1877) = 0.573650815769323153095530634417 Theorem 4: I1prime(1877) = 0.577668635618249863553317206032 Theorem 4: I2(1877) = 0.606110775748626245942759026078 Theorem 4: I2prime(1877) = 0.610128595597552956400545597694 --------- EK(1879) = 7.77531199998392237038659870411 EK(1879)plus = 7.56229932864762899079797111591 gammaK3(1879) = 7.38454977967933940856224269675 gammaK3(1879)plus = 8.01861778933186113638161602210 Theorem 4: I1(1879) = 0.573300169286301369652126760660 Theorem 4: I1prime(1879) = 0.577314277379705770778431887769 Theorem 4: I3(1879) = 0.563387070800769622163497242679 Theorem 4: I3prime(1879) = 0.567401178894174023289802369788 --------- EK(1889) = 4.55365542246842577417816747028 EK(1889)plus = 7.49000519754019967023754904966 gammaK2(1889) = 7.49000519754019967023754904966 gammaK2(1889)plus = -0.220102520565766530276031950101 gammaK4(1889) = -0.220102520565766530276031950101 gammaK4(1889)plus = 3.30341668352902275032032206907 Theorem 4: I1(1889) = 0.571691114779228603006459794326 Theorem 4: I1prime(1889) = 0.575686773077693385608263552916 Theorem 4: I2(1889) = 0.585612078651928271568575447277 Theorem 4: I2prime(1889) = 0.589607736950393054170379205867 Theorem 4: I4(1889) = 0.562743352304239901255837344644 Theorem 4: I4prime(1889) = 0.566739010602704683857641103234 --------- EK(1901) = 6.80895046913779158835637346728 EK(1901)plus = 6.41099297672458762000201886200 gammaK2(1901) = 6.41099297672458762000201886200 gammaK2(1901)plus = 7.55883152099473923069206165552 gammaK5(1901) = 2.49065807811021541156532632016 gammaK5(1901)plus = 5.45112358905654334752435776695 Theorem 4: I1(1901) = 0.574048817933240861335794083677 Theorem 4: I1prime(1901) = 0.578022573376655824052341997281 Theorem 4: I2(1901) = 0.568046566142892538707460877069 Theorem 4: I2prime(1901) = 0.572020321586307501424008790673 Theorem 4: I5(1901) = 0.555069446860884738905985939747 Theorem 4: I5prime(1901) = 0.559043202304299701622533853351 --------- EK(1907) = 8.17663406708879849594239889374 EK(1907)plus = 8.73729383602834617529763715221 Theorem 4: I1(1907) = 0.572335330953709615597369203732 Theorem 4: I1prime(1907) = 0.576298230536920748370835176024 --------- EK(1913) = 9.69742056797476157707639115735 EK(1913)plus = 9.90144463470106463551033431850 gammaK2(1913) = 9.90144463470106463551033431850 gammaK2(1913)plus = 6.17254049773994872424082231364 gammaK4(1913) = 6.17254049773994872424082231364 gammaK4(1913)plus = 5.16376281052953927554951862224 Theorem 4: I1(1913) = 0.571928310922397952012338947664 Theorem 4: I1prime(1913) = 0.575880417600975490127109772017 Theorem 4: I2(1913) = 0.574655425918836824674413678855 Theorem 4: I2prime(1913) = 0.578607532597414362789184503208 Theorem 4: I4(1913) = 0.568514959399445606704894965072 Theorem 4: I4prime(1913) = 0.572467066078023144819665789424 --------- EK(1931) = 3.68965236651532532387313242247 EK(1931)plus = 5.21599976129945290142298251884 gammaK5(1931) = 7.88394166321944418975778409633 gammaK5(1931)plus = 2.95447281870554865027358893177 Theorem 4: I1(1931) = 0.573720189639237567084844576520 Theorem 4: I1prime(1931) = 0.577640289785573584930313137441 Theorem 4: I5(1931) = 0.582322079216719417268079804258 Theorem 4: I5prime(1931) = 0.586242179363055435113548365180 --------- EK(1933) = 9.20735763461947397198258884798 EK(1933)plus = 8.87418805392326022393585997150 gammaK2(1933) = 8.87418805392326022393585997150 gammaK2(1933)plus = 7.06511830763264949333018077447 gammaK3(1933) = 8.07826323596324584528490170034 gammaK3(1933)plus = 8.66526392522905955931463672072 gammaK6(1933) = 8.66526392522905955931463672072 gammaK6(1933)plus = 4.57973200338232630267177748379 Theorem 4: I1(1933) = 0.572792820672177355706389495996 Theorem 4: I1prime(1933) = 0.576709398559966346854110176085 Theorem 4: I2(1933) = 0.571770566413717303925484944888 Theorem 4: I2prime(1933) = 0.575687144301506295073205624978 Theorem 4: I3(1933) = 0.562842712739447981313822505577 Theorem 4: I3prime(1933) = 0.566759290627236972461543185667 Theorem 4: I6(1933) = 0.575668718754255276640125012670 Theorem 4: I6prime(1933) = 0.579585296642044267787845692759 --------- EK(1949) = 10.5515102078132116392676187578 EK(1949)plus = 9.57352570574279654429380614488 gammaK2(1949) = 9.57352570574279654429380614488 gammaK2(1949)plus = 8.95423619419139438622854936311 Theorem 4: I1(1949) = 0.572801173195077414641797470366 Theorem 4: I1prime(1949) = 0.576689813697904704585883146009 Theorem 4: I2(1949) = 0.568654232331571033585867964562 Theorem 4: I2prime(1949) = 0.572542872834398323529953640205 --------- EK(1951) = 9.76820716264486467461055367721 EK(1951)plus = 9.48477539257303532235837679732 gammaK3(1951) = 6.11221526606061683506982014533 gammaK3(1951)plus = 7.01185074083528012508823950422 gammaK5(1951) = 8.48581864961690477577141480184 gammaK5(1951)plus = 7.07003078073920579027383471634 Theorem 4: I1(1951) = 0.572495034747366397818104957152 Theorem 4: I1prime(1951) = 0.576380212870762865105814253763 Theorem 4: I3(1951) = 0.565038170449635414633597677529 Theorem 4: I3prime(1951) = 0.568923348573031881921306974140 Theorem 4: I5(1951) = 0.562707644157981826575578849243 Theorem 4: I5prime(1951) = 0.566592822281378293863288145854 --------- EK(1973) = 3.76057126647501242132778097759 EK(1973)plus = 6.76159770258010133442633757761 gammaK2(1973) = 6.76159770258010133442633757761 gammaK2(1973)plus = 7.28525461246698741094577235495 Theorem 4: I1(1973) = 0.572263093066225675176962594024 Theorem 4: I1prime(1973) = 0.576110613606805094723674643854 Theorem 4: I2(1973) = 0.569291974188658161917859028032 Theorem 4: I2prime(1973) = 0.573139494729237581464571077862 --------- EK(1979) = 10.7228989640364635441552137319 EK(1979)plus = 9.72739314089568395560290290808 Theorem 4: I1(1979) = 0.572799221674809172176411613443 Theorem 4: I1prime(1979) = 0.576636606379360519864562321534 --------- EK(1987) = 5.92771829584169811228319162693 EK(1987)plus = 8.23566330021132395824654288643 gammaK3(1987) = 0.212987657644770795011115867000 gammaK3(1987)plus = 4.74866656300959252445116727253 Theorem 4: I1(1987) = 0.571904772523430880347922213524 Theorem 4: I1prime(1987) = 0.575728730853013869697522912296 Theorem 4: I3(1987) = 0.563185197489593287731525958093 Theorem 4: I3prime(1987) = 0.567009155819176277081126656865 --------- EK(1993) = 8.75016304160717052567395898839 EK(1993)plus = 9.62132703374649256081625283737 gammaK2(1993) = 9.62132703374649256081625283737 gammaK2(1993)plus = 9.29102554029775904616839526296 gammaK3(1993) = 8.26194066959067551472418770855 gammaK3(1993)plus = 2.30136726616747466158944591570 gammaK4(1993) = 9.29102554029775904616839526296 gammaK4(1993)plus = 4.96987018984607711441453332159 gammaK6(1993) = 2.30136726616747466158944591570 gammaK6(1993)plus = -10.0186652263688604903327227875 Theorem 4: I1(1993) = 0.571946435493971703460390409591 Theorem 4: I1prime(1993) = 0.575760389469982142576231262608 Theorem 4: I2(1993) = 0.568215124740061940957278778294 Theorem 4: I2prime(1993) = 0.572029078716072380073119631311 Theorem 4: I3(1993) = 0.582720773611291468667399823552 Theorem 4: I3prime(1993) = 0.586534727587301907783240676570 Theorem 4: I4(1993) = 0.575905366119664576225434756281 Theorem 4: I4prime(1993) = 0.579719320095675015341275609298 Theorem 4: I6(1993) = 0.644489411181440044953316459473 Theorem 4: I6prime(1993) = 0.648303365157450484069157312490 --------- EK(1997) = 10.9982628709244558205708062642 EK(1997)plus = 9.98034300812653936949088030279 gammaK2(1997) = 9.98034300812653936949088030279 gammaK2(1997)plus = 9.48356760777228204716153271859 Theorem 4: I1(1997) = 0.572723565472361555280337675825 Theorem 4: I1prime(1997) = 0.576530880769664067913514191321 Theorem 4: I2(1997) = 0.568207048145305077803440585423 Theorem 4: I2prime(1997) = 0.572014363442607590436617100919 --------- EK(1999) = 9.10162942236811465929017598486 EK(1999)plus = 9.05341168512984332483657454224 gammaK3(1999) = 8.74080951927248115242525234954 gammaK3(1999)plus = 5.48605581377513718827770388103 Theorem 4: I1(1999) = 0.572706656917016346786173049293 Theorem 4: I1prime(1999) = 0.576510662089438969440603446958 Theorem 4: I3(1999) = 0.573859649716172176151880579857 Theorem 4: I3prime(1999) = 0.577663654888594798806310977522 --------- EK(2003) = 5.79342136907936332803849821625 EK(2003)plus = 6.99352586114139787466168421420 Theorem 4: I1(2003) = 0.573121045642557835250832396307 Theorem 4: I1prime(2003) = 0.576918448907126176036709122897 --------- EK(2011) = 9.67856897234192063058914293740 EK(2011)plus = 7.68578436661370367737826958464 gammaK3(2011) = 8.53883620176811601648142767512 gammaK3(2011)plus = 8.62875891227618437055504589965 gammaK5(2011) = 8.71521809550507892861749249785 gammaK5(2011)plus = -10.0629215035138011336489936375 Theorem 4: I1(2011) = 0.574381443989483752671653243574 Theorem 4: I1prime(2011) = 0.578165716322703977570538493422 Theorem 4: I3(2011) = 0.564197059087924692025127688032 Theorem 4: I3prime(2011) = 0.567981331421144916924012937879 Theorem 4: I5(2011) = 0.648950184379640972474712573970 Theorem 4: I5prime(2011) = 0.652734456712861197373597823818 --------- EK(2017) = 7.40310323117703807640708930425 EK(2017)plus = 7.24145783064253663292459713082 gammaK2(2017) = 7.24145783064253663292459713082 gammaK2(2017)plus = -4.35323044812760941519726566716 gammaK3(2017) = 4.23268123963333892068547821896 gammaK3(2017)plus = 4.26726305492275599869966975552 gammaK4(2017) = -4.35323044812760941519726566716 gammaK4(2017)plus = 0.360920464669329942089498264205 gammaK6(2017) = 4.26726305492275599869966975552 gammaK6(2017)plus = 1.61572777457702103005932250806 Theorem 4: I1(2017) = 0.573701980914688588701964819387 Theorem 4: I1prime(2017) = 0.577476468284705558827157583729 Theorem 4: I2(2017) = 0.593033268313762759905315597722 Theorem 4: I2prime(2017) = 0.596807755683779730030508362064 Theorem 4: I3(2017) = 0.570808493238464125417763497737 Theorem 4: I3prime(2017) = 0.574582980608481095542956262079 Theorem 4: I4(2017) = 0.567138589772889435468612377860 Theorem 4: I4prime(2017) = 0.570913077142906405593805142203 Theorem 4: I6(2017) = 0.580287191742005173012630637627 Theorem 4: I6prime(2017) = 0.584061679112022143137823401969 --------- EK(2027) = 7.41923733138625380524921217614 EK(2027)plus = 7.57946664610382660744110371141 Theorem 4: I1(2027) = 0.573393624299845758578495170493 Theorem 4: I1prime(2027) = 0.577151922496515057707779011690 --------- EK(2029) = 8.67821234664358126003083054039 EK(2029)plus = 6.72520334165361130186474745330 gammaK2(2029) = 6.72520334165361130186474745330 gammaK2(2029)plus = 7.33331639856430875357862382456 gammaK3(2029) = 8.90229115961120901664866021540 gammaK3(2029)plus = 7.53777844839021537859271110937 gammaK6(2029) = 7.53777844839021537859271110937 gammaK6(2029)plus = 5.14103831214986485467478547170 Theorem 4: I1(2029) = 0.574860660259155898806484706776 Theorem 4: I1prime(2029) = 0.578615738335993085563353685391 Theorem 4: I2(2029) = 0.569380177195860431225792791094 Theorem 4: I2prime(2029) = 0.573135255272697617982661769709 Theorem 4: I3(2029) = 0.568078060145251708347201985080 Theorem 4: I3prime(2029) = 0.571833138222088895104070963695 Theorem 4: I6(2029) = 0.569085329830567323572447803654 Theorem 4: I6prime(2029) = 0.572840407907404510329316782270 --------- EK(2039) = 6.01246048565749693812353449064 EK(2039)plus = 7.98326832265335668501472246062 Theorem 4: I1(2039) = 0.572329592661691495815413403917 Theorem 4: I1prime(2039) = 0.576068657809176508168625377758 --------- EK(2053) = 11.2444318093667063349161032193 EK(2053)plus = 10.8781968912003477175816528549 gammaK2(2053) = 10.8781968912003477175816528549 gammaK2(2053)plus = 8.65587419093153346578489980459 gammaK3(2053) = -8.72088403166789906388014337140 gammaK3(2053)plus = -1.02118442455908502376737307664 gammaK6(2053) = -1.02118442455908502376737307664 gammaK6(2053)plus = 2.15750738243351790260716706482 Theorem 4: I1(2053) = 0.572091065065951265565094172355 Theorem 4: I1prime(2053) = 0.575807954645395190307458859310 Theorem 4: I2(2053) = 0.570941524180049270802681182245 Theorem 4: I2prime(2053) = 0.574658413759493195545045869201 Theorem 4: I3(2053) = 0.567446319766841087300828227648 Theorem 4: I3prime(2053) = 0.571163209346285012043192914604 Theorem 4: I6(2053) = 0.561601875196838226823693166418 Theorem 4: I6prime(2053) = 0.565318764776282151566057853374 --------- EK(2063) = 5.72229810921009476075012648881 EK(2063)plus = 7.47813762952674272315585624234 Theorem 4: I1(2063) = 0.572735704489182326850934261409 Theorem 4: I1prime(2063) = 0.576436924912592245290830991010 --------- EK(2069) = 4.72422431233466349090853148029 EK(2069)plus = 7.22680324047723366457630519950 gammaK2(2069) = 7.22680324047723366457630519950 gammaK2(2069)plus = 7.05700872701114995051823370291 Theorem 4: I1(2069) = 0.572509149401132661786012690383 Theorem 4: I1prime(2069) = 0.576201035608939984334692349764 Theorem 4: I2(2069) = 0.570551345656123891980778200464 Theorem 4: I2prime(2069) = 0.574243231863931214529457859845 --------- EK(2081) = 7.25130455099836527739540989394 EK(2081)plus = 8.24064485029289037399398609432 gammaK2(2081) = 8.24064485029289037399398609432 gammaK2(2081)plus = 6.24684483254491282326671927502 gammaK4(2081) = 6.24684483254491282326671927502 gammaK4(2081)plus = 4.23932120233592940622342196690 gammaK5(2081) = 7.57908446776241679400842592777 gammaK5(2081)plus = 5.57134024392631357031350433540 Theorem 4: I1(2081) = 0.572776405999219570616391531558 Theorem 4: I1prime(2081) = 0.576449773223447279474590967620 Theorem 4: I2(2081) = 0.573122666649589434662860501725 Theorem 4: I2prime(2081) = 0.576796033873817143521059937787 Theorem 4: I4(2081) = 0.572916682325857526571823005285 Theorem 4: I4prime(2081) = 0.576590049550085235430022441346 Theorem 4: I5(2081) = 0.568640498105103922973154440613 Theorem 4: I5prime(2081) = 0.572313865329331631831353876675 --------- EK(2083) = 9.61152172645282352199454283098 EK(2083)plus = 8.79501574147875493016190869182 gammaK3(2083) = 0.195773683779474484053719277156 gammaK3(2083)plus = 3.81206017394093993090802664417 Theorem 4: I1(2083) = 0.573381764778368382792377815076 Theorem 4: I1prime(2083) = 0.577052064702124853490663826555 Theorem 4: I3(2083) = 0.566506706740111878115934827802 Theorem 4: I3prime(2083) = 0.570177006663868348814220839282 --------- EK(2087) = 10.2818290292241949895757719800 EK(2087)plus = 9.97777708279924809273596664837 Theorem 4: I1(2087) = 0.572576456216002086230797219948 Theorem 4: I1prime(2087) = 0.576240637858896238075855003064 --------- EK(2089) = 10.2239262215750309121455863820 EK(2089)plus = 8.42788152797630617789332716048 gammaK2(2089) = 8.42788152797630617789332716048 gammaK2(2089)plus = 6.25229955969932587131191932798 gammaK3(2089) = 8.93044143678463768275059813160 gammaK3(2089)plus = 4.76472435358715819087014125352 gammaK4(2089) = 6.25229955969932587131191932798 gammaK4(2089)plus = 7.20012142854392977092978107338 gammaK6(2089) = 4.76472435358715819087014125352 gammaK6(2089)plus = 5.11323898984610866925888339889 Theorem 4: I1(2089) = 0.574037744420205987602017141474 Theorem 4: I1prime(2089) = 0.577698875053135377346401897605 Theorem 4: I2(2089) = 0.573307256163932022527513147313 Theorem 4: I2prime(2089) = 0.576968386796861412271897903444 Theorem 4: I3(2089) = 0.576349762026500377720399921790 Theorem 4: I3prime(2089) = 0.580010892659429767464784677922 Theorem 4: I4(2089) = 0.561599564464710134437370274805 Theorem 4: I4prime(2089) = 0.565260695097639524181755030937 Theorem 4: I6(2089) = 0.561510450083320249866879876576 Theorem 4: I6prime(2089) = 0.565171580716249639611264632707 --------- EK(2099) = 6.89668385580027964634932895379 EK(2099)plus = 8.59729487377792153071589000774 Theorem 4: I1(2099) = 0.572305487662230326194549729338 Theorem 4: I1prime(2099) = 0.575951443963384107409131508561 --------- EK(2111) = 9.20904609885769248668571568337 EK(2111)plus = 8.12421926501012082154984410413 gammaK5(2111) = 8.15759565486577074622711289032 gammaK5(2111)plus = 7.16880552599509395846415893811 Theorem 4: I1(2111) = 0.573877740563175495084479067607 Theorem 4: I1prime(2111) = 0.577505663334667590160183965178 Theorem 4: I5(2111) = 0.562562481679030705948272967136 Theorem 4: I5prime(2111) = 0.566190404450522801023977864707 --------- EK(2113) = 8.77115201054843249732158215490 EK(2113)plus = 8.70980366243394068115603744435 gammaK2(2113) = 8.70980366243394068115603744435 gammaK2(2113)plus = 7.99120424036782560866718917257 gammaK3(2113) = 6.38098078213619850813222365263 gammaK3(2113)plus = 2.88576029023600999657101180638 gammaK4(2113) = 7.99120424036782560866718917257 gammaK4(2113)plus = 7.33383596985796226874848770930 gammaK6(2113) = 2.88576029023600999657101180638 gammaK6(2113)plus = 4.83747520886455846212008521438 Theorem 4: I1(2113) = 0.573119035995314181436536572936 Theorem 4: I1prime(2113) = 0.576743971609715723434336053245 Theorem 4: I2(2113) = 0.570325295816385027199148320782 Theorem 4: I2prime(2113) = 0.573950231430786569196947801091 Theorem 4: I3(2113) = 0.578076226358989930170421749968 Theorem 4: I3prime(2113) = 0.581701161973391472168221230277 Theorem 4: I4(2113) = 0.564563974305012973351156814086 Theorem 4: I4prime(2113) = 0.568188909919414515348956294395 Theorem 4: I6(2113) = 0.557917894835886529726776413654 Theorem 4: I6prime(2113) = 0.561542830450288071724575893963 --------- EK(2129) = 5.85988670688088979715546458953 EK(2129)plus = 7.80832224579979086029876373224 gammaK2(2129) = 7.80832224579979086029876373224 gammaK2(2129)plus = 8.42387230134383956187676367921 gammaK4(2129) = 8.42387230134383956187676367921 gammaK4(2129)plus = 6.69125659890678588215359460161 Theorem 4: I1(2129) = 0.572629030028353759652936727520 Theorem 4: I1prime(2129) = 0.576230255434788665419245384712 Theorem 4: I2(2129) = 0.568716582587346466650477247711 Theorem 4: I2prime(2129) = 0.572317807993781372416785904903 Theorem 4: I4(2129) = 0.567888142116051343485841537110 Theorem 4: I4prime(2129) = 0.571489367522486249252150194302 --------- EK(2131) = 10.7864097276634517306471119536 EK(2131)plus = 7.61313738278353127575434261026 gammaK3(2131) = 8.79198307821008025868888468229 gammaK3(2131)plus = 6.31680375092382336160978587731 gammaK5(2131) = 6.02891967565519443583856414769 gammaK5(2131)plus = 3.77335402014129986056736585555 Theorem 4: I1(2131) = 0.575129531886177267654149455223 Theorem 4: I1prime(2131) = 0.578727816689979435324988438048 Theorem 4: I3(2131) = 0.571799858269925299152707123808 Theorem 4: I3prime(2131) = 0.575398143073727466823546106632 Theorem 4: I5(2131) = 0.573644334738548805552598929176 Theorem 4: I5prime(2131) = 0.577242619542350973223437912000 --------- EK(2137) = 10.2117930924031846090395899584 EK(2137)plus = 6.76795782225487801561213051100 gammaK2(2137) = 6.76795782225487801561213051100 gammaK2(2137)plus = 8.58908182456673316070207793857 gammaK3(2137) = 10.1369409627423009072758250247 gammaK3(2137)plus = 6.63751810009840647941571010375 gammaK4(2137) = 8.58908182456673316070207793857 gammaK4(2137)plus = 8.28611387762552968168219487415 gammaK6(2137) = 6.63751810009840647941571010375 gammaK6(2137)plus = 7.19647595966810890629898898231 Theorem 4: I1(2137) = 0.575657747277154679079250194010 Theorem 4: I1prime(2137) = 0.579247240842378999125989140412 Theorem 4: I2(2137) = 0.567464920219469365638498265820 Theorem 4: I2prime(2137) = 0.571054413784693685685237212221 Theorem 4: I3(2137) = 0.572803186346729860084598699452 Theorem 4: I3prime(2137) = 0.576392679911954180131337645853 Theorem 4: I4(2137) = 0.562259231522788383972225478180 Theorem 4: I4prime(2137) = 0.565848725088012704018964424581 Theorem 4: I6(2137) = 0.555420655595906355962610385568 Theorem 4: I6prime(2137) = 0.559010149161130676009349331969 --------- EK(2141) = 4.08717798960539539541292978840 EK(2141)plus = 6.18576663494456120151461566972 gammaK2(2141) = 6.18576663494456120151461566972 gammaK2(2141)plus = -0.739079343755606330670118770377 gammaK5(2141) = 3.48279134865459184637762588925 gammaK5(2141)plus = 5.34047742446442134379298222858 Theorem 4: I1(2141) = 0.573342796238746642273230700519 Theorem 4: I1prime(2141) = 0.576926454317526867879102815857 Theorem 4: I2(2141) = 0.584374862718707621015155997648 Theorem 4: I2prime(2141) = 0.587958520797487846621028112986 Theorem 4: I5(2141) = 0.560389152849306152506478887551 Theorem 4: I5prime(2141) = 0.563972810928086378112351002890 --------- EK(2143) = 7.72447300495869105861458574603 EK(2143)plus = 8.97556909754949931072024434984 gammaK3(2143) = -3.86719344003917130583990974675 gammaK3(2143)plus = 2.51772020707205975036992255277 Theorem 4: I1(2143) = 0.572439639720376299425048008309 Theorem 4: I1prime(2143) = 0.576020387617422787295208214264 Theorem 4: I3(2143) = 0.564741974982652836384593441541 Theorem 4: I3prime(2143) = 0.568322722879699324254753647496 --------- EK(2153) = 8.24656377369841000127887640038 EK(2153)plus = 8.44346865217471485681376538689 gammaK2(2153) = 8.44346865217471485681376538689 gammaK2(2153)plus = 8.24389923537823537176931693906 gammaK4(2153) = 8.24389923537823537176931693906 gammaK4(2153)plus = 7.09637211639747741649828989192 Theorem 4: I1(2153) = 0.573198964249710237149123799315 Theorem 4: I1prime(2153) = 0.576765236320976205100071158301 Theorem 4: I2(2153) = 0.569736207568212208325214863456 Theorem 4: I2prime(2153) = 0.573302479639478176276162222442 Theorem 4: I4(2153) = 0.566151703434083073563429914982 Theorem 4: I4prime(2153) = 0.569717975505349041514377273969 --------- EK(2161) = 6.69857036077847204903894989613 EK(2161)plus = 8.11619208387571341774831801852 gammaK2(2161) = 8.11619208387571341774831801852 gammaK2(2161)plus = 8.66135085148377497516378379308 gammaK3(2161) = -3.49628645128101309780664937680 gammaK3(2161)plus = 2.43640172186129694091890998772 gammaK4(2161) = 8.66135085148377497516378379308 gammaK4(2161)plus = 8.55559932524383531553911123937 gammaK5(2161) = 3.97995291489405659940831689993 gammaK5(2161)plus = 5.56076394282584606855559237095 gammaK6(2161) = 2.43640172186129694091890998772 gammaK6(2161)plus = 4.81927368554660052524402139884 Theorem 4: I1(2161) = 0.572800216481304360686946957208 Theorem 4: I1prime(2161) = 0.576354997201909400489947824534 Theorem 4: I2(2161) = 0.568687827494299118409861858198 Theorem 4: I2prime(2161) = 0.572242608214904158212862725524 Theorem 4: I3(2161) = 0.565586991740804788357279492555 Theorem 4: I3prime(2161) = 0.569141772461409828160280359881 Theorem 4: I4(2161) = 0.561561215679820822281109424244 Theorem 4: I4prime(2161) = 0.565115996400425862084110291570 Theorem 4: I5(2161) = 0.560676012699036933343767023626 Theorem 4: I5prime(2161) = 0.564230793419641973146767890952 Theorem 4: I6(2161) = 0.557199830373887001858256163201 Theorem 4: I6prime(2161) = 0.560754611094492041661257030527 --------- EK(2179) = 10.6895644081563461509942652442 EK(2179)plus = 7.97430837654608726555123225583 gammaK3(2179) = 7.28394307552730705372953128236 gammaK3(2179)plus = 7.25165517350436426811536837009 Theorem 4: I1(2179) = 0.574799419926402734141142338551 Theorem 4: I1prime(2179) = 0.578328630823989795608261905602 Theorem 4: I3(2179) = 0.567266771675115493466059851756 Theorem 4: I3prime(2179) = 0.570795982572702554933179418807 --------- EK(2203) = 7.70176253929080812072546784505 EK(2203)plus = 7.17926200641515310783825694528 gammaK3(2203) = 5.71362691021709642610039230580 gammaK3(2203)plus = 6.86608088986914520225520415701 Theorem 4: I1(2203) = 0.574191024940816614466596821048 Theorem 4: I1prime(2203) = 0.577686744898492519608973189548 Theorem 4: I3(2203) = 0.566286467913142029702489757144 Theorem 4: I3prime(2203) = 0.569782187870817934844866125644 --------- EK(2207) = 9.25101563692426202809351086758 EK(2207)plus = 8.82180454379469144244725079603 Theorem 4: I1(2207) = 0.573409643299363734505500399376 Theorem 4: I1prime(2207) = 0.576899847019335056536299373487 --------- EK(2213) = 8.79535592688653720666565145552 EK(2213)plus = 9.50148296551050009121371215726 gammaK2(2213) = 9.50148296551050009121371215726 gammaK2(2213)plus = 8.15773377987365767182048444188 Theorem 4: I1(2213) = 0.572599438876161329039413967273 Theorem 4: I1prime(2213) = 0.576081402863526179698688763365 Theorem 4: I2(2213) = 0.571051590255760545865927522702 Theorem 4: I2prime(2213) = 0.574533554243125396525202318795 --------- EK(2221) = 7.66031413126388947306228031059 EK(2221)plus = 7.23143843275325722398579419363 gammaK2(2221) = 7.23143843275325722398579419363 gammaK2(2221)plus = 7.02072834040698962925997306384 gammaK3(2221) = 8.46595396951273837604919362492 gammaK3(2221)plus = 7.95207973661870123424034460557 gammaK5(2221) = -25.7207121519145988611268320134 gammaK5(2221)plus = -8.95613785277665235901263974398 gammaK6(2221) = 7.95207973661870123424034460557 gammaK6(2221)plus = 4.60157295731524882650970598731 Theorem 4: I1(2221) = 0.574149883921327820051414817844 Theorem 4: I1prime(2221) = 0.577620925733892877458051111095 Theorem 4: I2(2221) = 0.571077386262007376739898767355 Theorem 4: I2prime(2221) = 0.574548428074572434146535060606 Theorem 4: I3(2221) = 0.567159345245401469863487587543 Theorem 4: I3prime(2221) = 0.570630387057966527270123880793 Theorem 4: I5(2221) = 0.559621278666907051596358511662 Theorem 4: I5prime(2221) = 0.563092320479472109002994804913 Theorem 4: I6(2221) = 0.573825023766872424184388566671 Theorem 4: I6prime(2221) = 0.577296065579437481591024859922 --------- EK(2237) = 10.3190127412159010342812557088 EK(2237)plus = 9.55475043466831837345020887258 gammaK2(2237) = 9.55475043466831837345020887258 gammaK2(2237)plus = 4.56442220573562472482179263960 Theorem 4: I1(2237) = 0.573282776912855257971667017177 Theorem 4: I1prime(2237) = 0.576732191475239036866087997814 Theorem 4: I2(2237) = 0.577593533066680163956165223010 Theorem 4: I2prime(2237) = 0.581042947629063942850586203647 --------- EK(2239) = 9.76095236529627745165414797361 EK(2239)plus = 9.03837428367056567036441698432 gammaK3(2239) = 8.02128252646506643379066051101 gammaK3(2239)plus = 7.91285381029922430544537132294 Theorem 4: I1(2239) = 0.573498398175290591888955759992 Theorem 4: I1prime(2239) = 0.576945129460634092705336506543 Theorem 4: I3(2239) = 0.566749348781668617070431040643 Theorem 4: I3prime(2239) = 0.570196080067012117886811787194 --------- EK(2243) = 10.4382084297030061921316540661 EK(2243)plus = 8.37361798462031075306406890988 Theorem 4: I1(2243) = 0.574400112306722995708283846142 Theorem 4: I1prime(2243) = 0.577841490332824783539523007018 --------- EK(2251) = 7.56056823176033078957928904474 EK(2251)plus = 8.54350372956080265082247947680 gammaK3(2251) = 7.26009881598434881403336389373 gammaK3(2251)plus = 3.25181414619834783507503517082 gammaK5(2251) = 3.61028971150797290904528320007 gammaK5(2251)plus = -29.1505892657595690084092406980 Theorem 4: I1(2251) = 0.572980167145206189123175786730 Theorem 4: I1prime(2251) = 0.576410891518942514564188419946 Theorem 4: I3(2251) = 0.578219717967151416364435131308 Theorem 4: I3prime(2251) = 0.581650442340887741805447764523 Theorem 4: I5(2251) = 0.714789081609651470829673761111 Theorem 4: I5prime(2251) = 0.718219805983387796270686394326 --------- EK(2267) = 9.87609474249053539877885665448 EK(2267)plus = 8.63058743203294062957923703278 Theorem 4: I1(2267) = 0.573955078075568736654251361220 Theorem 4: I1prime(2267) = 0.577364704134927752097445553439 --------- EK(2269) = 9.33766362856526495153256908261 EK(2269)plus = 9.27643258870403217608180804595 gammaK2(2269) = 9.27643258870403217608180804595 gammaK2(2269)plus = 7.66307428057981079689013701931 gammaK3(2269) = 7.02969484592137826170609359857 gammaK3(2269)plus = -12.9039133602189046801437547423 gammaK6(2269) = -12.9039133602189046801437547423 gammaK6(2269)plus = -4.56624318580657497031937279041 Theorem 4: I1(2269) = 0.573151022680636451848677700881 Theorem 4: I1prime(2269) = 0.576558030830892113986025400865 Theorem 4: I2(2269) = 0.571877813948617653305069573599 Theorem 4: I2prime(2269) = 0.575284822098873315442417273583 Theorem 4: I3(2269) = 0.620647033364772188595739941118 Theorem 4: I3prime(2269) = 0.624054041515027850733087641102 Theorem 4: I6(2269) = 0.567229331576781510337616966110 Theorem 4: I6prime(2269) = 0.570636339727037172474964666094 --------- EK(2273) = 6.22929549156319373641224263847 EK(2273)plus = 7.59984830418034840724540776877 gammaK2(2273) = 7.59984830418034840724540776877 gammaK2(2273)plus = 7.31100431325886338731950934915 gammaK4(2273) = 7.31100431325886338731950934915 gammaK4(2273)plus = 4.58329221368701262559041269905 Theorem 4: I1(2273) = 0.573265927708781434113016589873 Theorem 4: I1prime(2273) = 0.576667712842519349256220166279 Theorem 4: I2(2273) = 0.571031191215378708949349401257 Theorem 4: I2prime(2273) = 0.574432976349116624092552977663 Theorem 4: I4(2273) = 0.573942809445108741277278780883 Theorem 4: I4prime(2273) = 0.577344594578846656420482357289 --------- EK(2281) = 7.56695911619328183717023846414 EK(2281)plus = 6.76552088791443006050472951403 gammaK2(2281) = 6.76552088791443006050472951403 gammaK2(2281)plus = 4.65262470346498149001575842499 gammaK3(2281) = 8.02434226449219051887135083094 gammaK3(2281)plus = 7.17023125956779165307047845423 gammaK4(2281) = 4.65262470346498149001575842499 gammaK4(2281)plus = 6.28379040137157924384107132450 gammaK5(2281) = 9.20579650112801119028308736649 gammaK5(2281)plus = 8.19313183965325435058830337444 gammaK6(2281) = 7.17023125956779165307047845423 gammaK6(2281)plus = 4.79803658356047761221485238799 Theorem 4: I1(2281) = 0.574598351721863846510793362522 Theorem 4: I1prime(2281) = 0.577989741731637700910271637111 Theorem 4: I2(2281) = 0.574984857963791363436401330775 Theorem 4: I2prime(2281) = 0.578376247973565217835879605365 Theorem 4: I3(2281) = 0.568900518000673430814842242251 Theorem 4: I3prime(2281) = 0.572291908010447285214320516840 Theorem 4: I4(2281) = 0.563323827201027683673063208506 Theorem 4: I4prime(2281) = 0.566715217210801538072541483096 Theorem 4: I5(2281) = 0.561461589094102440945781832063 Theorem 4: I5prime(2281) = 0.564852979103876295345260106653 Theorem 4: I6(2281) = 0.570822945697419867380831288513 Theorem 4: I6prime(2281) = 0.574214335707193721780309563103 --------- EK(2287) = 8.18268070004665382688013212820 EK(2287)plus = 8.97853829977695992350069604716 gammaK3(2287) = 5.96744282263018794486967502769 gammaK3(2287)plus = 5.56477746516236537843380216064 Theorem 4: I1(2287) = 0.572938421009412381180385099764 Theorem 4: I1prime(2287) = 0.576322058889562329185425001966 Theorem 4: I3(2287) = 0.570436799093692056459526566203 Theorem 4: I3prime(2287) = 0.573820436973842004464566468406 --------- EK(2293) = 7.55651270509430263148000639534 EK(2293)plus = 8.00408869978035045017737474538 gammaK2(2293) = 8.00408869978035045017737474538 gammaK2(2293)plus = 5.69148300541634130339158784176 gammaK3(2293) = 3.23090628127934137887787071995 gammaK3(2293)plus = 6.12315268965540529198015722114 gammaK6(2293) = 6.12315268965540529198015722114 gammaK6(2293)plus = -4.15508496841449080740991520398 Theorem 4: I1(2293) = 0.573526729204412014835825253376 Theorem 4: I1prime(2293) = 0.576902652538992252375311889648 Theorem 4: I2(2293) = 0.574264309548664699704116551187 Theorem 4: I2prime(2293) = 0.577640232883244937243603187459 Theorem 4: I3(2293) = 0.565410985554195099555959825215 Theorem 4: I3prime(2293) = 0.568786908888775337095446461488 Theorem 4: I6(2293) = 0.614990394490930260264262092681 Theorem 4: I6prime(2293) = 0.618366317825510497803748728954 --------- EK(2297) = 9.99319848455961609825211903944 EK(2297)plus = 8.31067620403323768160622572822 gammaK2(2297) = 8.31067620403323768160622572822 gammaK2(2297)plus = 7.75928087927051121283397993902 gammaK4(2297) = 7.75928087927051121283397993902 gammaK4(2297)plus = 7.66782390389121950640608025958 Theorem 4: I1(2297) = 0.574327370160873746215289405565 Theorem 4: I1prime(2297) = 0.577698171207341123502240640688 Theorem 4: I2(2297) = 0.570934082710283512068751911176 Theorem 4: I2prime(2297) = 0.574304883756750889355703146299 Theorem 4: I4(2297) = 0.564010546905786527545074578209 Theorem 4: I4prime(2297) = 0.567381347952253904832025813333 --------- EK(2309) = 9.45713298599645363988848438388 EK(2309)plus = 10.2534777717713930957733367981 gammaK2(2309) = 10.2534777717713930957733367981 gammaK2(2309)plus = 7.33937748418577415352931281221 Theorem 4: I1(2309) = 0.572426592938624423292440582471 Theorem 4: I1prime(2309) = 0.575782125784965192511290937495 Theorem 4: I2(2309) = 0.573378028220903314696196544865 Theorem 4: I2prime(2309) = 0.576733561067244083915046899889 --------- EK(2311) = 9.89098670597040750083873846121 EK(2311)plus = 7.60609178061712429500303004521 gammaK3(2311) = 6.43570317222688774083099927428 gammaK3(2311)plus = 2.66108848275576778712825904348 gammaK5(2311) = -3.42927912970878835670593213870 gammaK5(2311)plus = 1.62082161142514351696590476596 Theorem 4: I1(2311) = 0.574910664963137825412886917928 Theorem 4: I1prime(2311) = 0.578263667391828033519712964852 Theorem 4: I3(2311) = 0.578657448283723330682444109745 Theorem 4: I3prime(2311) = 0.582010450712413538789270156669 Theorem 4: I5(2311) = 0.562769181449178389613558480304 Theorem 4: I5prime(2311) = 0.566122183877868597720384527228 --------- EK(2333) = 7.86211654026285479657270005128 EK(2333)plus = 8.60735724803048698761496421378 gammaK2(2333) = 8.60735724803048698761496421378 gammaK2(2333)plus = 7.03248181850938924383289420226 Theorem 4: I1(2333) = 0.573203690892519396770782359766 Theorem 4: I1prime(2333) = 0.576529124113797883035285081332 Theorem 4: I2(2333) = 0.572532189925366848611387452936 Theorem 4: I2prime(2333) = 0.575857623146645334875890174502 --------- EK(2339) = 5.00705192018156901159660692709 EK(2339)plus = 6.76994739312079600989524916636 Theorem 4: I1(2339) = 0.573564612350710958405991409820 Theorem 4: I1prime(2339) = 0.576882610112295295029450456575 --------- EK(2341) = 9.23082981613139720689285234183 EK(2341)plus = 10.1931423185690940850562779970 gammaK2(2341) = 10.1931423185690940850562779970 gammaK2(2341)plus = 10.1747474930712745250797301673 gammaK3(2341) = 9.78761388743633031187731102372 gammaK3(2341)plus = 9.80185592221347464692046976028 gammaK5(2341) = 3.50619637105765295009226206522 gammaK5(2341)plus = 5.07849663793210521426175855757 gammaK6(2341) = 9.80185592221347464692046976028 gammaK6(2341)plus = 9.00249250248589194556282254272 Theorem 4: I1(2341) = 0.572446959624554377560873281774 Theorem 4: I1prime(2341) = 0.575762486747413741135981072020 Theorem 4: I2(2341) = 0.568532187812048831265761414760 Theorem 4: I2prime(2341) = 0.571847714934908194840869205006 Theorem 4: I3(2341) = 0.564626673255233529394282940996 Theorem 4: I3prime(2341) = 0.567942200378092892969390731243 Theorem 4: I5(2341) = 0.562997475944418722055216442988 Theorem 4: I5prime(2341) = 0.566313003067278085630324233235 Theorem 4: I6(2341) = 0.556173499235170889817331876966 Theorem 4: I6prime(2341) = 0.559489026358030253392439667212 --------- EK(2347) = 9.47850627711330160561381447907 EK(2347)plus = 9.22535312989772717224695956838 gammaK3(2347) = 6.92962519139503518600890494791 gammaK3(2347)plus = 5.86119971871184614175798332892 Theorem 4: I1(2347) = 0.573389787611976462465887400599 Theorem 4: I1prime(2347) = 0.576697926229133761491304270259 Theorem 4: I3(2347) = 0.571082567222957650380767232564 Theorem 4: I3prime(2347) = 0.574390705840114949406184102223 --------- EK(2351) = 5.61132471481048112665422947280 EK(2351)plus = 5.91197548688115200583692580775 gammaK5(2351) = 6.51526508182676963798564538572 gammaK5(2351)plus = 7.39690714936355571522817253091 Theorem 4: I1(2351) = 0.574570588522250773897719571771 Theorem 4: I1prime(2351) = 0.577873820883331654540515460106 Theorem 4: I5(2351) = 0.559594702243529833642440822924 Theorem 4: I5prime(2351) = 0.562897934604610714285236711259 --------- EK(2357) = 8.47096840517481197266440905426 EK(2357)plus = 9.01251012261441302401732148197 gammaK2(2357) = 9.01251012261441302401732148197 gammaK2(2357)plus = 7.29914644898904072603854747719 Theorem 4: I1(2357) = 0.573159065690172386375223436318 Theorem 4: I1prime(2357) = 0.576454967601435599921057795118 Theorem 4: I2(2357) = 0.572471115939499811674758602959 Theorem 4: I2prime(2357) = 0.575767017850763025220592961759 --------- EK(2371) = 10.6546985258408313212789631929 EK(2371)plus = 9.93142309545603276581117992142 gammaK3(2371) = 8.85178007782712735453768702704 gammaK3(2371)plus = 7.27080057046901760128908103785 gammaK5(2371) = 6.27691405876567738776463854242 gammaK5(2371)plus = 7.19452949258053459836377259322 Theorem 4: I1(2371) = 0.573328987012785528362036670980 Theorem 4: I1prime(2371) = 0.576607918272728737425383293891 Theorem 4: I3(2371) = 0.570009209212455833951950290498 Theorem 4: I3prime(2371) = 0.573288140472399043015296913409 Theorem 4: I5(2371) = 0.560094517522513166475655015680 Theorem 4: I5prime(2371) = 0.563373448782456375539001638591 --------- EK(2377) = 11.0393363024030080134416023531 EK(2377)plus = 10.7799556924064732768953336901 gammaK2(2377) = 10.7799556924064732768953336901 gammaK2(2377)plus = 8.74448840139073915897034842000 gammaK3(2377) = 10.2880978641322879389252666028 gammaK3(2377)plus = 9.70593042755517127521344549278 gammaK4(2377) = 8.74448840139073915897034842000 gammaK4(2377)plus = 5.05608509281490927638370258970 gammaK6(2377) = 9.70593042755517127521344549278 gammaK6(2377)plus = 8.25765664252956995448728940173 Theorem 4: I1(2377) = 0.572786436451510510604352287271 Theorem 4: I1prime(2377) = 0.576058151294675575386978738912 Theorem 4: I2(2377) = 0.571565586765827330214400987724 Theorem 4: I2prime(2377) = 0.574837301608992394997027439364 Theorem 4: I3(2377) = 0.565691631182061623641506722867 Theorem 4: I3prime(2377) = 0.568963346025226688424133174507 Theorem 4: I4(2377) = 0.574907662377825378353010939895 Theorem 4: I4prime(2377) = 0.578179377220990443135637391536 Theorem 4: I6(2377) = 0.560011991739040098741502595733 Theorem 4: I6prime(2377) = 0.563283706582205163524129047373 --------- EK(2381) = 9.53624160883652592026864904965 EK(2381)plus = 9.65794092904659243720123442832 gammaK2(2381) = 9.65794092904659243720123442832 gammaK2(2381)plus = 8.14099862990122577968866283432 gammaK5(2381) = 9.58016364748382867329906396219 gammaK5(2381)plus = 8.66503740182266572407995738829 Theorem 4: I1(2381) = 0.573105199703263434864400076465 Theorem 4: I1prime(2381) = 0.576372122327837746957172679187 Theorem 4: I2(2381) = 0.571646485697011487972672708702 Theorem 4: I2prime(2381) = 0.574913408321585800065445311424 Theorem 4: I5(2381) = 0.560927475660385639835601116517 Theorem 4: I5prime(2381) = 0.564194398284959951928373719239 --------- EK(2383) = 6.46544333260068729475829298424 EK(2383)plus = 8.40276469513100858223187560414 gammaK3(2383) = -1.66950852777081457446546306539 gammaK3(2383)plus = 3.73672652524129502138740921157 Theorem 4: I1(2383) = 0.572873368264350835170189499524 Theorem 4: I1prime(2383) = 0.576137900370605554785141984475 Theorem 4: I3(2383) = 0.565696488440122710308205750065 Theorem 4: I3prime(2383) = 0.568961020546377429923158235016 --------- EK(2389) = 9.26744606424750873187297544686 EK(2389)plus = 10.1380315613882022668748742569 gammaK2(2389) = 10.1380315613882022668748742569 gammaK2(2389)plus = 9.38281611747808451311233647308 gammaK3(2389) = 4.70752462497647404157388647943 gammaK3(2389)plus = 6.15110873772409592648500775933 gammaK6(2389) = 6.15110873772409592648500775933 gammaK6(2389)plus = 3.68738329588704563981657490166 Theorem 4: I1(2389) = 0.572604327195780072204631215054 Theorem 4: I1prime(2389) = 0.575861710004542974019387715752 Theorem 4: I2(2389) = 0.569987140566208966417932060610 Theorem 4: I2prime(2389) = 0.573244523374971868232688561308 Theorem 4: I3(2389) = 0.567670501291884015489412987645 Theorem 4: I3prime(2389) = 0.570927884100646917304169488343 Theorem 4: I6(2389) = 0.574132963301385226800072646503 Theorem 4: I6prime(2389) = 0.577390346110148128614829147201 --------- EK(2393) = 6.63762451994699501337318473317 EK(2393)plus = 7.69474219682362622695935030669 gammaK2(2393) = 7.69474219682362622695935030669 gammaK2(2393)plus = 4.07645851479856861667192300956 gammaK4(2393) = 4.07645851479856861667192300956 gammaK4(2393)plus = 3.98167418853931579677377494112 Theorem 4: I1(2393) = 0.573555500809237520619559337452 Theorem 4: I1prime(2393) = 0.576808135879433328865027748596 Theorem 4: I2(2393) = 0.576829855981931099055818140146 Theorem 4: I2prime(2393) = 0.580082491052126907301286551290 Theorem 4: I4(2393) = 0.570710409889241457955807917367 Theorem 4: I4prime(2393) = 0.573963044959437266201276328511 --------- EK(2399) = 4.47168643204421426656209367801 EK(2399)plus = 8.02921765325407292542831166114 Theorem 4: I1(2399) = 0.572382472901766001159121662433 Theorem 4: I1prime(2399) = 0.575628013878763371706837522340 --------- EK(2411) = 7.92393913089774811745810918564 EK(2411)plus = 7.28256909034275960241482737848 gammaK5(2411) = 0.382027432323243405704765382038 gammaK5(2411)plus = -43.6112722627794949364325523571 Theorem 4: I1(2411) = 0.574458639797477023156809924224 Theorem 4: I1prime(2411) = 0.577690090784274189567484071527 Theorem 4: I5(2411) = 0.758961184625382313121365193711 Theorem 4: I5prime(2411) = 0.762192635612179479532039341014 --------- EK(2417) = 8.63716391352550343832807162229 EK(2417)plus = 8.75235856115073472399355194864 gammaK2(2417) = 8.75235856115073472399355194864 gammaK2(2417)plus = 8.23251669618878564604375875113 gammaK4(2417) = 8.23251669618878564604375875113 gammaK4(2417)plus = 7.28729915971807365239801307785 Theorem 4: I1(2417) = 0.573543985405090914981466192325 Theorem 4: I1prime(2417) = 0.576768440032865535433322899573 Theorem 4: I2(2417) = 0.570828331055626725516656276953 Theorem 4: I2prime(2417) = 0.574052785683401345968512984201 Theorem 4: I4(2417) = 0.566710191262666740938955593209 Theorem 4: I4prime(2417) = 0.569934645890441361390812300457 --------- EK(2423) = 9.56299353812187258965941221881 EK(2423)plus = 7.98990961203198001153134288770 Theorem 4: I1(2423) = 0.574564945175549981348486678930 Theorem 4: I1prime(2423) = 0.577782435563996110882758933813 --------- EK(2437) = 7.26932231091620803235239402084 EK(2437)plus = 7.48374271251061591792726295128 gammaK2(2437) = 7.48374271251061591792726295128 gammaK2(2437)plus = 5.88279099337208695678783603790 gammaK3(2437) = 5.85592718244967326307532563056 gammaK3(2437)plus = 6.46288305797031825320210289933 gammaK6(2437) = 6.46288305797031825320210289933 gammaK6(2437)plus = 6.89147859870317208933543543216 Theorem 4: I1(2437) = 0.574054185230659072384758328103 Theorem 4: I1prime(2437) = 0.577255549374183377074790629218 Theorem 4: I2(2437) = 0.573697569139318507322161973969 Theorem 4: I2prime(2437) = 0.576898933282842812012194275085 Theorem 4: I3(2437) = 0.568505024140899255251808995908 Theorem 4: I3prime(2437) = 0.571706388284423559941841297024 Theorem 4: I6(2437) = 0.559178040508479781221884503220 Theorem 4: I6prime(2437) = 0.562379404652004085911916804336 --------- EK(2441) = 10.0757991940810271099926256902 EK(2441)plus = 10.8531151181476127983050918683 gammaK2(2441) = 10.8531151181476127983050918683 gammaK2(2441)plus = 10.4738494179530002477441915450 gammaK4(2441) = 10.4738494179530002477441915450 gammaK4(2441)plus = 6.88408136607138456441445475705 gammaK5(2441) = 8.88370020606200373309517834357 gammaK5(2441)plus = 2.62350962059654263561644154536 Theorem 4: I1(2441) = 0.572447784643189499066029701112 Theorem 4: I1prime(2441) = 0.575644572786793171225500743320 Theorem 4: I2(2441) = 0.568938795634400080795575399702 Theorem 4: I2prime(2441) = 0.572135583778003752955046441911 Theorem 4: I4(2441) = 0.571809910635412577732341288425 Theorem 4: I4prime(2441) = 0.575006698779016249891812330633 Theorem 4: I5(2441) = 0.584661329198101128618198205268 Theorem 4: I5prime(2441) = 0.587858117341704800777669247477 --------- EK(2447) = 7.72868875560702377583252168993 EK(2447)plus = 7.24375258125770619437995169309 Theorem 4: I1(2447) = 0.574451148811157972973310667504 Theorem 4: I1prime(2447) = 0.577641098959744510856608599151 --------- EK(2459) = 6.18374450244979673074128501490 EK(2459)plus = 7.33783896107124484481273299467 Theorem 4: I1(2459) = 0.573759558397596782420488442253 Theorem 4: I1prime(2459) = 0.576935925379784004782433831378 --------- EK(2467) = 10.1351475001711169084870183526 EK(2467)plus = 7.42083972588038230397148276453 gammaK3(2467) = 7.76537781133244407773107780150 gammaK3(2467)plus = 6.22120336347890570085882734754 Theorem 4: I1(2467) = 0.575305811158143182626937668105 Theorem 4: I1prime(2467) = 0.578473190767441380801515089046 Theorem 4: I3(2467) = 0.571521995442609909849625041038 Theorem 4: I3prime(2467) = 0.574689375051908108024202461980 --------- EK(2473) = 10.2799316036438088646312966222 EK(2473)plus = 10.5120098453460988708770200933 gammaK2(2473) = 10.5120098453460988708770200933 gammaK2(2473)plus = 9.86686898003633553575543038414 gammaK3(2473) = 10.6777668454999546456210212996 gammaK3(2473)plus = 8.99337583523449157379300710690 gammaK4(2473) = 9.86686898003633553575543038414 gammaK4(2473)plus = 9.16016910532224500587927841438 gammaK6(2473) = 8.99337583523449157379300710690 gammaK6(2473)plus = 1.39652210402540479624486130212 Theorem 4: I1(2473) = 0.572868072360469203517593157837 Theorem 4: I1prime(2473) = 0.576028746821440650202450105255 Theorem 4: I2(2473) = 0.569752162644908634354636121132 Theorem 4: I2prime(2473) = 0.572912837105880081039493068550 Theorem 4: I3(2473) = 0.568341701916787715037762272289 Theorem 4: I3prime(2473) = 0.571502376377759161722619219707 Theorem 4: I4(2473) = 0.563531797741226831605398848348 Theorem 4: I4prime(2473) = 0.566692472202198278290255795766 Theorem 4: I6(2473) = 0.592257341971248177438110215216 Theorem 4: I6prime(2473) = 0.595418016432219624122967162635 --------- EK(2477) = 9.16876809583885471093946373416 EK(2477)plus = 7.64840161777742250868257974211 gammaK2(2477) = 7.64840161777742250868257974211 gammaK2(2477)plus = 8.02200283034357387003155379680 Theorem 4: I1(2477) = 0.574739416371318688013550585198 Theorem 4: I1prime(2477) = 0.577895637465619721760540929241 Theorem 4: I2(2477) = 0.570431528985536070408509248244 Theorem 4: I2prime(2477) = 0.573587750079837104155499592287 --------- EK(2503) = 10.5766104739186224331776738733 EK(2503)plus = 9.31411305278740946505553920642 gammaK3(2503) = 7.61035354536010161026123589396 gammaK3(2503)plus = 5.91486499268373380113375158929 Theorem 4: I1(2503) = 0.573996343067921374829579394431 Theorem 4: I1prime(2503) = 0.577123939107662291781779374016 Theorem 4: I3(2503) = 0.572152710421860070547808891924 Theorem 4: I3prime(2503) = 0.575280306461600987500008871509 --------- EK(2521) = 10.3303629792118160912593673104 EK(2521)plus = 9.09927038757269172906759957987 gammaK2(2521) = 9.09927038757269172906759957987 gammaK2(2521)plus = -29.4867595329265880369493203834 gammaK3(2521) = 7.82117836457547973185219346390 gammaK3(2521)plus = 8.45949978678331601701300947264 gammaK4(2521) = -29.4867595329265880369493203834 gammaK4(2521)plus = -10.6361127842082645634464259544 gammaK5(2521) = 5.14238779291792659129389492341 gammaK5(2521)plus = 2.45810482977969564540118769244 gammaK6(2521) = 8.45949978678331601701300947264 gammaK6(2521)plus = -14.5235654684302199948572497462 Theorem 4: I1(2521) = 0.574092138752521809698797301726 Theorem 4: I1prime(2521) = 0.577200238326802730264232109815 Theorem 4: I2(2521) = 0.631239221531573802576671459557 Theorem 4: I2prime(2521) = 0.634347321105854723142106267646 Theorem 4: I3(2521) = 0.566381225248478773436584399262 Theorem 4: I3prime(2521) = 0.569489324822759694002019207350 Theorem 4: I4(2521) = 0.564171788609335495796001132491 Theorem 4: I4prime(2521) = 0.567279888183616416361435940579 Theorem 4: I5(2521) = 0.577658264174914317709540035976 Theorem 4: I5prime(2521) = 0.580766363749195238274974844065 Theorem 4: I6(2521) = 0.666509766387412563192612266646 Theorem 4: I6prime(2521) = 0.669617865961693483758047074735 --------- EK(2531) = 7.61230192325157740224535736018 EK(2531)plus = 8.14599368712095648389573848816 gammaK5(2531) = 1.54149624057671223693334752105 gammaK5(2531)plus = 5.20928782750300119967603759249 Theorem 4: I1(2531) = 0.573783734929065536620059444590 Theorem 4: I1prime(2531) = 0.576881114281059656799132923242 Theorem 4: I5(2531) = 0.559665908392083682182405763714 Theorem 4: I5prime(2531) = 0.562763287744077802361479242365 --------- EK(2539) = 9.14770388522593559868668643819 EK(2539)plus = 6.74089618613593811738185877372 gammaK3(2539) = 9.32639328402975587730067356411 gammaK3(2539)plus = 0.195394417449964195662905438319 Theorem 4: I1(2539) = 0.575506769177886997658266529536 Theorem 4: I1prime(2539) = 0.578595628745146524228468086253 Theorem 4: I3(2539) = 0.587774193967209654884768190710 Theorem 4: I3prime(2539) = 0.590863053534469181454969747427 --------- EK(2543) = 4.22947319138940926241909324704 EK(2543)plus = 7.33128608268095911985500837016 Theorem 4: I1(2543) = 0.573110163881748860457340822457 Theorem 4: I1prime(2543) = 0.576194782200168262359779632466 --------- EK(2549) = 5.64314001558865627944859336804 EK(2549)plus = 8.55814700418562844781826232826 gammaK2(2549) = 8.55814700418562844781826232826 gammaK2(2549)plus = 8.35291773233785991198536259664 Theorem 4: I1(2549) = 0.572711649096047713502265416205 Theorem 4: I1prime(2549) = 0.575789928689601918934859167040 Theorem 4: I2(2549) = 0.570817888810415399396476723822 Theorem 4: I2prime(2549) = 0.573896168403969604829070474657 --------- EK(2551) = 8.53028022849464210873609012508 EK(2551)plus = 6.92940311350156697129189853149 gammaK3(2551) = 7.43621898609611647890020559317 gammaK3(2551)plus = 6.14720677081567195612122432242 gammaK5(2551) = 8.14236367398068900447452543855 gammaK5(2551)plus = 7.00997220798959476852990918752 Theorem 4: I1(2551) = 0.575124840520615552496138136903 Theorem 4: I1prime(2551) = 0.578201013351259400102011806003 Theorem 4: I3(2551) = 0.571496522868161247334808423352 Theorem 4: I3prime(2551) = 0.574572695698805094940682092452 Theorem 4: I5(2551) = 0.565684965068534538292411763405 Theorem 4: I5prime(2551) = 0.568761137899178385898285432504 --------- EK(2557) = 10.1454954347002670797321055753 EK(2557)plus = 8.18429002341717454029661984928 gammaK2(2557) = 8.18429002341717454029661984928 gammaK2(2557)plus = 8.72020742919648885311255343334 gammaK3(2557) = 6.76550092451903305571291556701 gammaK3(2557)plus = 7.62153920033032034478683905575 gammaK6(2557) = 7.62153920033032034478683905575 gammaK6(2557)plus = 7.94080152386607517858464747773 Theorem 4: I1(2557) = 0.574779767216471658026186127751 Theorem 4: I1prime(2557) = 0.577849638098823452478211722397 Theorem 4: I2(2557) = 0.569970598621518654847215914330 Theorem 4: I2prime(2557) = 0.573040469503870449299241508976 Theorem 4: I3(2557) = 0.567261853461363894141356235459 Theorem 4: I3prime(2557) = 0.570331724343715688593381830105 Theorem 4: I6(2557) = 0.557818637393823513642111898781 Theorem 4: I6prime(2557) = 0.560888508276175308094137493427 --------- EK(2579) = 9.50347949551685931419232135617 EK(2579)plus = 8.67017731494207740418740927903 Theorem 4: I1(2579) = 0.574174577961704117977201330933 Theorem 4: I1prime(2579) = 0.577221574472907122157841216291 --------- EK(2591) = 9.42725856749313410615635070442 EK(2591)plus = 9.49169462356644839152908826970 gammaK5(2591) = 3.85143282374615307752125604470 gammaK5(2591)plus = 5.93982481864263279357444865753 Theorem 4: I1(2591) = 0.573524867468661026936300322338 Theorem 4: I1prime(2591) = 0.576559538966947555882952944917 Theorem 4: I5(2591) = 0.561711318405321665551349360559 Theorem 4: I5prime(2591) = 0.564745989903608194498001983139 --------- EK(2593) = 7.93961735234495134979519115793 EK(2593)plus = 8.95317020738754451615088237991 gammaK2(2593) = 8.95317020738754451615088237991 gammaK2(2593)plus = 7.49914182997718842560326352190 gammaK3(2593) = 7.15953495457111193282449210803 gammaK3(2593)plus = 7.45943189442474453493279501891 gammaK4(2593) = 7.49914182997718842560326352190 gammaK4(2593)plus = 6.31056397262035060045892974948 gammaK6(2593) = 7.45943189442474453493279501891 gammaK6(2593)plus = 6.42613299924481947294818863276 Theorem 4: I1(2593) = 0.573369308539631620153717811602 Theorem 4: I1prime(2593) = 0.576401936157509191289914031547 Theorem 4: I2(2593) = 0.572548885518674288148030731376 Theorem 4: I2prime(2593) = 0.575581513136551859284226951321 Theorem 4: I3(2593) = 0.568231450246560343583158740372 Theorem 4: I3prime(2593) = 0.571264077864437914719354960318 Theorem 4: I4(2593) = 0.569306685360049233528655929285 Theorem 4: I4prime(2593) = 0.572339312977926804664852149230 Theorem 4: I6(2593) = 0.564725232652267184722021862151 Theorem 4: I6prime(2593) = 0.567757860270144755858218082096 --------- EK(2609) = 8.62281695397288333260369517910 EK(2609)plus = 9.21191651744754871123456474831 gammaK2(2609) = 9.21191651744754871123456474831 gammaK2(2609)plus = -0.735794686750062402929266181877 gammaK4(2609) = -0.735794686750062402929266181877 gammaK4(2609)plus = -3.84390843716851150849644416570 Theorem 4: I1(2609) = 0.573456450000395393205181927656 Theorem 4: I1prime(2609) = 0.576472831244696286008811218961 Theorem 4: I2(2609) = 0.585406224341489434704893583810 Theorem 4: I2prime(2609) = 0.588422605585790327508522875116 Theorem 4: I4(2609) = 0.587873649267089087172861772380 Theorem 4: I4prime(2609) = 0.590890030511389979976491063686 --------- EK(2617) = 9.42531718471053396513776697054 EK(2617)plus = 7.32679091832368796717441573590 gammaK2(2617) = 7.32679091832368796717441573590 gammaK2(2617)plus = 6.80455568969294434379000866268 gammaK3(2617) = 8.25722265000019649002228793849 gammaK3(2617)plus = 5.57173895869356798508640789555 gammaK4(2617) = 6.80455568969294434379000866268 gammaK4(2617)plus = 6.84038600824974291188471993881 gammaK6(2617) = 5.57173895869356798508640789555 gammaK6(2617)plus = 6.41848289844694712878284456619 Theorem 4: I1(2617) = 0.575215942814714547061818659795 Theorem 4: I1prime(2617) = 0.578224269994580810768767789199 Theorem 4: I2(2617) = 0.572410367662815684013153870878 Theorem 4: I2prime(2617) = 0.575418694842681947720103000282 Theorem 4: I3(2617) = 0.573902289219690193469060855011 Theorem 4: I3prime(2617) = 0.576910616399556457176009984415 Theorem 4: I4(2617) = 0.566696972770055172925034444296 Theorem 4: I4prime(2617) = 0.569705299949921436631983573699 Theorem 4: I6(2617) = 0.560545400760752602495993213096 Theorem 4: I6prime(2617) = 0.563553727940618866202942342499 --------- EK(2621) = 9.13823904298540307860847996841 EK(2621)plus = 9.17638957585831385875683421772 gammaK2(2621) = 9.17638957585831385875683421772 gammaK2(2621)plus = 8.82964593328288571587071678973 gammaK5(2621) = 7.63857636345273053115108933938 gammaK5(2621)plus = 4.13682744227599484470270340018 Theorem 4: I1(2621) = 0.573697518174057898197521803360 Theorem 4: I1prime(2621) = 0.576701835427234770846884547928 Theorem 4: I2(2621) = 0.570737873597746116754883111375 Theorem 4: I2prime(2621) = 0.573742190850922989404245855943 Theorem 4: I5(2621) = 0.575997949561165616272726440835 Theorem 4: I5prime(2621) = 0.579002266814342488922089185403 --------- EK(2633) = 10.8950692386241222634516622727 EK(2633)plus = 9.02891292459552409744007983538 gammaK2(2633) = 9.02891292459552409744007983538 gammaK2(2633)plus = 4.70193774383625356391164171763 gammaK4(2633) = 4.70193774383625356391164171763 gammaK4(2633)plus = 6.28464084379397393402508444038 Theorem 4: I1(2633) = 0.574493115902341870512514377799 Theorem 4: I1prime(2633) = 0.577485471206101866485995710484 Theorem 4: I2(2633) = 0.576928465115529256483140748948 Theorem 4: I2prime(2633) = 0.579920820419289252456622081633 Theorem 4: I4(2633) = 0.565254667486554966533393536137 Theorem 4: I4prime(2633) = 0.568247022790314962506874868822 --------- EK(2647) = 8.27913980521259482266856820475 EK(2647)plus = 8.48193650679779277162772721444 gammaK3(2647) = 7.34711511203870779624353288633 gammaK3(2647)plus = 6.95897436513756057850886625518 Theorem 4: I1(2647) = 0.573932327133092810114870006284 Theorem 4: I1prime(2647) = 0.576910854042475690412937511851 Theorem 4: I3(2647) = 0.569762363149666878473777093337 Theorem 4: I3prime(2647) = 0.572740890059049758771844598904 --------- EK(2657) = 10.8769269486633040741431787599 EK(2657)plus = 8.68544279579284235826987726701 gammaK2(2657) = 8.68544279579284235826987726701 gammaK2(2657)plus = -12.8917896821549080292156499113 gammaK4(2657) = -12.8917896821549080292156499113 gammaK4(2657)plus = -7.85957930884815233493733163053 Theorem 4: I1(2657) = 0.574769532606651017326051667017 Theorem 4: I1prime(2657) = 0.577738264890446127832359555295 Theorem 4: I2(2657) = 0.603169018386336221529851600023 Theorem 4: I2prime(2657) = 0.606137750670131332036159488302 Theorem 4: I4(2657) = 0.581469279665475031585657730838 Theorem 4: I4prime(2657) = 0.584438011949270142091965619116 --------- EK(2659) = 9.85681014147991094742740016147 EK(2659)plus = 9.56080710639702648483843673986 gammaK3(2659) = 7.64604495828903997548964620960 gammaK3(2659)plus = 8.54564864386697655195284654321 Theorem 4: I1(2659) = 0.573728918907222877920832184885 Theorem 4: I1prime(2659) = 0.576695700469014834208546881562 Theorem 4: I3(2659) = 0.566551760713037708140706490112 Theorem 4: I3prime(2659) = 0.569518542274829664428421186789 --------- EK(2663) = 9.42134113846961976072856801718 EK(2663)plus = 8.90505779627693514231563918202 Theorem 4: I1(2663) = 0.574063246666236688356888768556 Theorem 4: I1prime(2663) = 0.577026134940396692951460325197 --------- EK(2671) = 9.02064185448065717032904805586 EK(2671)plus = 9.48440667719482307763379215421 gammaK3(2671) = 8.49481933617998782992163890763 gammaK3(2671)plus = 8.96311759967411199483675476548 gammaK5(2671) = 8.37518876027628907647633642989 gammaK5(2671)plus = 7.44076574617975995009499298976 Theorem 4: I1(2671) = 0.573488651180906942084628700033 Theorem 4: I1prime(2671) = 0.576443785343120410574743879314 Theorem 4: I3(2671) = 0.566615248050599771136577274574 Theorem 4: I3prime(2671) = 0.569570382212813239626692453855 Theorem 4: I5(2671) = 0.565025968522796073542460096208 Theorem 4: I5prime(2671) = 0.567981102685009542032575275489 --------- EK(2677) = 6.29891534700144517781789930657 EK(2677)plus = 7.79783905973850835417000194322 gammaK2(2677) = 7.79783905973850835417000194322 gammaK2(2677)plus = 7.09492818522192625227641922277 gammaK3(2677) = 1.17039032573931975934073349650 gammaK3(2677)plus = 4.97051511881588110030371162186 gammaK6(2677) = 4.97051511881588110030371162186 gammaK6(2677)plus = 6.29189831584044583598962219591 Theorem 4: I1(2677) = 0.573740436157408016483562191574 Theorem 4: I1prime(2677) = 0.576689782959919358975386020454 Theorem 4: I2(2677) = 0.572436168147042684602868846188 Theorem 4: I2prime(2677) = 0.575385514949554027094692675068 Theorem 4: I3(2677) = 0.567379802503892777889294025535 Theorem 4: I3prime(2677) = 0.570329149306404120381117854416 Theorem 4: I6(2677) = 0.560138914095103439274298286049 Theorem 4: I6prime(2677) = 0.563088260897614781766122114930 --------- EK(2683) = 7.26069805160953604569945056248 EK(2683)plus = 7.82396192073960811116442340958 gammaK3(2683) = 3.92021921208192680894731191155 gammaK3(2683)plus = 6.42138121205376912554973567810 Theorem 4: I1(2683) = 0.574087339258977427409773255988 Theorem 4: I1prime(2683) = 0.577030922722969084433930039438 Theorem 4: I3(2683) = 0.567231898911052320227120237478 Theorem 4: I3prime(2683) = 0.570175482375043977251277020928 --------- EK(2687) = 10.1603189383622898065056082499 EK(2687)plus = 10.5403603632749305836730747944 Theorem 4: I1(2687) = 0.573148895898295474595369811953 Theorem 4: I1prime(2687) = 0.576088650406342939682987529898 --------- EK(2689) = 9.66931012198892316453394888505 EK(2689)plus = 10.1722337618851030619238197705 gammaK2(2689) = 10.1722337618851030619238197705 gammaK2(2689)plus = 8.74798903922334126717669095241 gammaK3(2689) = 6.79948085227981679700878298501 gammaK3(2689)plus = 7.77423604840754029432975950174 gammaK4(2689) = 8.74798903922334126717669095241 gammaK4(2689)plus = 5.40562343663914187418826892183 gammaK6(2689) = 7.77423604840754029432975950174 gammaK6(2689)plus = 6.15102673489302825700591814833 Theorem 4: I1(2689) = 0.573243159229741405769302321827 Theorem 4: I1prime(2689) = 0.576181003223889048875468737281 Theorem 4: I2(2689) = 0.571764264484452706502690863483 Theorem 4: I2prime(2689) = 0.574702108478600349608857278937 Theorem 4: I3(2689) = 0.567447886900941999630220904330 Theorem 4: I3prime(2689) = 0.570385730895089642736387319784 Theorem 4: I4(2689) = 0.574140968952055047921532903614 Theorem 4: I4prime(2689) = 0.577078812946202691027699319068 Theorem 4: I6(2689) = 0.567102371898468878769931190059 Theorem 4: I6prime(2689) = 0.570040215892616521876097605513 --------- EK(2693) = 5.88076602492378658844893458497 EK(2693)plus = 6.67936278468973714135997278981 gammaK2(2693) = 6.67936278468973714135997278981 gammaK2(2693)plus = 2.62640203796750156720850532186 Theorem 4: I1(2693) = 0.574436729695246731479225269281 Theorem 4: I1prime(2693) = 0.577370760561818647864335872822 Theorem 4: I2(2693) = 0.578273335538894050866956259133 Theorem 4: I2prime(2693) = 0.581207366405465967252066862675 --------- EK(2699) = 5.25772356304603762548475008748 EK(2699)plus = 7.06804738845172131478837493595 Theorem 4: I1(2699) = 0.573923856323067372250134863898 Theorem 4: I1prime(2699) = 0.576852187165549953663891325783 --------- EK(2707) = 9.53034382192916875079776349045 EK(2707)plus = 7.43364089108842981362512819815 gammaK3(2707) = 3.22043657375449816185497194465 gammaK3(2707)plus = 6.00628280436671843299132781961 Theorem 4: I1(2707) = 0.575242324647453498791282362440 Theorem 4: I1prime(2707) = 0.578163091938515694350432455840 Theorem 4: I3(2707) = 0.567465055364648158943888105839 Theorem 4: I3prime(2707) = 0.570385822655710354503038199238 --------- EK(2711) = 7.59236734867860134821621498393 EK(2711)plus = 8.09597152972288379566005543449 gammaK5(2711) = 4.65111843857979344950631913820 gammaK5(2711)plus = 5.19400265775996231168086504450 Theorem 4: I1(2711) = 0.574041313347356240028859649425 Theorem 4: I1prime(2711) = 0.576958314398831762363077946483 Theorem 4: I5(2711) = 0.566625620846197792901365172651 Theorem 4: I5prime(2711) = 0.569542621897673315235583469709 --------- EK(2713) = 8.45020230527433114799995750172 EK(2713)plus = 9.48592974804885673690631170834 gammaK2(2713) = 9.48592974804885673690631170834 gammaK2(2713)plus = 4.51349122001368716005451122498 gammaK3(2713) = 7.62425039838296911418436472462 gammaK3(2713)plus = 8.68508756472671585335869632944 gammaK4(2713) = 4.51349122001368716005451122498 gammaK4(2713)plus = 6.90939022591916509421304875702 gammaK6(2713) = 8.68508756472671585335869632944 gammaK6(2713)plus = 0.274196107423972253520584949769 Theorem 4: I1(2713) = 0.573334922898354363013689057656 Theorem 4: I1prime(2713) = 0.576250044695057508937087083262 Theorem 4: I2(2713) = 0.577551971823527535585032658838 Theorem 4: I2prime(2713) = 0.580467093620230681508430684444 Theorem 4: I3(2713) = 0.566431550020042633019724008268 Theorem 4: I3prime(2713) = 0.569346671816745778943122033874 Theorem 4: I4(2713) = 0.563486749925690167134100608792 Theorem 4: I4prime(2713) = 0.566401871722393313057498634398 Theorem 4: I6(2713) = 0.595210753901714427421543347614 Theorem 4: I6prime(2713) = 0.598125875698417573344941373220 --------- EK(2719) = 9.50938675075540032067905152073 EK(2719)plus = 7.28466207849985074038051143961 gammaK3(2719) = 2.31459690362911603991554146018 gammaK3(2719)plus = 5.57273281583306252684071940884 Theorem 4: I1(2719) = 0.575352954487378315318562291850 Theorem 4: I1prime(2719) = 0.578262453915131247884142530224 Theorem 4: I3(2719) = 0.567465357807200893778331651235 Theorem 4: I3prime(2719) = 0.570374857234953826343911889610 --------- EK(2729) = 8.64844402289784501077941545393 EK(2729)plus = 9.31996928174803329315798076561 gammaK2(2729) = 9.31996928174803329315798076561 gammaK2(2729)plus = 5.75247035032504087317091379820 gammaK4(2729) = 5.75247035032504087317091379820 gammaK4(2729)plus = 5.65627999821757791448322892867 Theorem 4: I1(2729) = 0.573552030473230857162734857529 Theorem 4: I1prime(2729) = 0.576452210282874676250479185147 Theorem 4: I2(2729) = 0.575611653465527221110711803309 Theorem 4: I2prime(2729) = 0.578511833275171040198456130927 Theorem 4: I4(2729) = 0.569058788323937906391140699486 Theorem 4: I4prime(2729) = 0.571958968133581725478885027104 --------- EK(2731) = 10.2602882608763497079822678066 EK(2731)plus = 9.32943849126943002705770253499 gammaK3(2731) = 9.51259022507113799206324865841 gammaK3(2731)plus = 9.38167295763311209205317173954 gammaK5(2731) = 9.45999536176322311434461897286 gammaK5(2731)plus = 8.27876838872384944612297770940 Theorem 4: I1(2731) = 0.574138197119426549378674353748 Theorem 4: I1prime(2731) = 0.577036520607145855242557282465 Theorem 4: I3(2731) = 0.567046814337046261158262663984 Theorem 4: I3prime(2731) = 0.569945137824765567022145592701 Theorem 4: I5(2731) = 0.564211196514770598548334032620 Theorem 4: I5prime(2731) = 0.567109520002489904412216961337 --------- EK(2741) = 3.19237355092709587224386626164 EK(2741)plus = 6.91277302280537896555360888961 gammaK2(2741) = 6.91277302280537896555360888961 gammaK2(2741)plus = 7.63372247692905464655150699145 gammaK5(2741) = 6.90904353829567638759263401725 gammaK5(2741)plus = 8.40025594394952916229251002673 Theorem 4: I1(2741) = 0.573333890604350067593155353982 Theorem 4: I1prime(2741) = 0.576222970201540865327260752666 Theorem 4: I2(2741) = 0.571115255404708100661049673665 Theorem 4: I2prime(2741) = 0.574004335001898898395155072350 Theorem 4: I5(2741) = 0.559160268132918676784018492573 Theorem 4: I5prime(2741) = 0.562049347730109474518123891258 --------- EK(2749) = 11.2149182849203528115132931403 EK(2749)plus = 8.54142434151228041258388502951 gammaK2(2749) = 8.54142434151228041258388502951 gammaK2(2749)plus = 6.07907653283876774168655722479 gammaK3(2749) = 6.74428221169034734472647716049 gammaK3(2749)plus = 6.55206875847824538760484794575 gammaK6(2749) = 6.55206875847824538760484794575 gammaK6(2749)plus = 7.10004656380674002965333124938 Theorem 4: I1(2749) = 0.575079270386416596499754659407 Theorem 4: I1prime(2749) = 0.577960999821702348214697235859 Theorem 4: I2(2749) = 0.574581305037194766849231033316 Theorem 4: I2prime(2749) = 0.577463034472480518564173609768 Theorem 4: I3(2749) = 0.570269445431334793813719337563 Theorem 4: I3prime(2749) = 0.573151174866620545528661914015 Theorem 4: I6(2749) = 0.560510629751815567105602140018 Theorem 4: I6prime(2749) = 0.563392359187101318820544716469 --------- EK(2753) = 2.81032236249502362672911356033 EK(2753)plus = 6.09611189595894030325955977427 gammaK2(2753) = 6.09611189595894030325955977427 gammaK2(2753)plus = 6.32914203418146919339747102694 gammaK4(2753) = 6.32914203418146919339747102694 gammaK4(2753)plus = 6.29530511290543514356396466389 Theorem 4: I1(2753) = 0.573805497932547719116430865986 Theorem 4: I1prime(2753) = 0.576683567156800120029953590826 Theorem 4: I2(2753) = 0.572444552807326283219557944004 Theorem 4: I2prime(2753) = 0.575322622031578684133080668844 Theorem 4: I4(2753) = 0.568110510452617666573599326964 Theorem 4: I4prime(2753) = 0.570988579676870067487122051804 --------- EK(2767) = 5.65676482756813840649081302706 EK(2767)plus = 6.93101363745499466068811850621 gammaK3(2767) = 5.88428590524849927030945975613 gammaK3(2767)plus = 7.02999603255895149580041492162 Theorem 4: I1(2767) = 0.574248156664657008526472012194 Theorem 4: I1prime(2767) = 0.577113492521412947031903465421 Theorem 4: I3(2767) = 0.568345196901829867483088227240 Theorem 4: I3prime(2767) = 0.571210532758585805988519680467 --------- EK(2777) = 10.5606994462187797094250845188 EK(2777)plus = 10.3716519229881479774084707368 gammaK2(2777) = 10.3716519229881479774084707368 gammaK2(2777)plus = 9.42021853136557336264805692039 gammaK4(2777) = 9.42021853136557336264805692039 gammaK4(2777)plus = 8.16350224195943284722790499807 Theorem 4: I1(2777) = 0.573546550811715268600210139246 Theorem 4: I1prime(2777) = 0.576402864387834432702568706079 Theorem 4: I2(2777) = 0.571112176822772689200179235853 Theorem 4: I2prime(2777) = 0.573968490398891853302537802686 Theorem 4: I4(2777) = 0.567259408033911230208947087716 Theorem 4: I4prime(2777) = 0.570115721610030394311305654549 --------- EK(2789) = 9.16248651339446236825197434776 EK(2789)plus = 9.43619276876775540439853351651 gammaK2(2789) = 9.43619276876775540439853351651 gammaK2(2789)plus = -12.5382761391786559869858562159 Theorem 4: I1(2789) = 0.573731897114489383831020988579 Theorem 4: I1prime(2789) = 0.576577463250654193355119294621 Theorem 4: I2(2789) = 0.601971690354179132176703013786 Theorem 4: I2prime(2789) = 0.604817256490343941700801319827 --------- EK(2791) = 7.46753016693358660496613333430 EK(2791)plus = 7.08203948976109593140278516844 gammaK3(2791) = 6.27358503313075851751974545382 gammaK3(2791)plus = 7.74692761795104258255480626179 gammaK5(2791) = 7.55114081101848726204436918426 gammaK5(2791)plus = 4.57434873365034367641761939515 Theorem 4: I1(2791) = 0.574814448917365680715253984829 Theorem 4: I1prime(2791) = 0.577658232155192319485930638684 Theorem 4: I3(2791) = 0.567298338034856351696446989304 Theorem 4: I3prime(2791) = 0.570142121272682990467123643160 Theorem 4: I5(2791) = 0.574347563755439622739914336928 Theorem 4: I5prime(2791) = 0.577191346993266261510590990784 --------- EK(2797) = 9.25311489611460835765590231359 EK(2797)plus = 9.77093025680536368241514799664 gammaK2(2797) = 9.77093025680536368241514799664 gammaK2(2797)plus = 7.88781042208527688778167405076 gammaK3(2797) = 7.65806944375691836123401673973 gammaK3(2797)plus = 6.41379203645504095019166406064 gammaK6(2797) = 6.41379203645504095019166406064 gammaK6(2797)plus = 6.44183145688247932395608435639 Theorem 4: I1(2797) = 0.573534840843506430208320945287 Theorem 4: I1prime(2797) = 0.576373289589286816376368113449 Theorem 4: I2(2797) = 0.572918433831353339519733658557 Theorem 4: I2prime(2797) = 0.575756882577133725687780826719 Theorem 4: I3(2797) = 0.571665929839409530214540675329 Theorem 4: I3prime(2797) = 0.574504378585189916382587843492 Theorem 4: I6(2797) = 0.563325730725447671585292021798 Theorem 4: I6prime(2797) = 0.566164179471228057753339189961 --------- EK(2801) = 9.31248937537808182350032325004 EK(2801)plus = 9.70562667076273122308264760143 gammaK2(2801) = 9.70562667076273122308264760143 gammaK2(2801)plus = 5.66365658290871650950987381845 gammaK4(2801) = 5.66365658290871650950987381845 gammaK4(2801)plus = 6.49410770327223021232945427391 gammaK5(2801) = -173.017095628638776769736757675 gammaK5(2801)plus = -82.3213926227745971680978177756 Theorem 4: I1(2801) = 0.573607951019263992513146517223 Theorem 4: I1prime(2801) = 0.576442855224714031271778571917 Theorem 4: I2(2801) = 0.576055292473489895010300852875 Theorem 4: I2prime(2801) = 0.578890196678939933768932907569 Theorem 4: I4(2801) = 0.566747959576045440672358280391 Theorem 4: I4prime(2801) = 0.569582863781495479430990335085 Theorem 4: I5(2801) = 0.562256476888506016905976814763 Theorem 4: I5prime(2801) = 0.565091381093956055664608869458 --------- EK(2803) = 5.62516564854424307308438671165 EK(2803)plus = 7.79861590967521589544130833450 gammaK3(2803) = 4.88717058637092925257718230587 gammaK3(2803)plus = 5.65550558339883574642070722330 Theorem 4: I1(2803) = 0.573655743664465258545025773498 Theorem 4: I1prime(2803) = 0.576488879121697517031454886685 Theorem 4: I3(2803) = 0.570334857925211688766307955978 Theorem 4: I3prime(2803) = 0.573167993382443947252737069165 --------- EK(2819) = 6.42431503911234724094358458920 EK(2819)plus = 7.74693850734008992942209119214 Theorem 4: I1(2819) = 0.573996225212058012155613567483 Theorem 4: I1prime(2819) = 0.576815294584348328887052458118 --------- EK(2833) = 8.26835348968198018482372208867 EK(2833)plus = 9.24831361936286721580292966297 gammaK2(2833) = 9.24831361936286721580292966297 gammaK2(2833)plus = 9.24961084246887261829413018444 gammaK3(2833) = 7.08022185133933605165007578065 gammaK3(2833)plus = 5.27016477880611908901398073655 gammaK4(2833) = 9.24961084246887261829413018444 gammaK4(2833)plus = 7.19522136933756404283833497075 gammaK6(2833) = 5.27016477880611908901398073655 gammaK6(2833)plus = 4.97648096932214581151731360794 Theorem 4: I1(2833) = 0.573602995186972301881040255745 Theorem 4: I1prime(2833) = 0.576409877778720365635137861037 Theorem 4: I2(2833) = 0.570680555474861514501611363874 Theorem 4: I2prime(2833) = 0.573487438066609578255708969166 Theorem 4: I3(2833) = 0.573547323176040646422050243369 Theorem 4: I3prime(2833) = 0.576354205767788710176147848661 Theorem 4: I4(2833) = 0.569950638377806866918465992113 Theorem 4: I4prime(2833) = 0.572757520969554930672563597405 Theorem 4: I6(2833) = 0.567288537692994893238345259395 Theorem 4: I6prime(2833) = 0.570095420284742956992442864687 --------- EK(2837) = 9.96001831153605177839294257912 EK(2837)plus = 9.40611409648932268684097118812 gammaK2(2837) = 9.40611409648932268684097118812 gammaK2(2837)plus = 7.66072704949123438199048135988 Theorem 4: I1(2837) = 0.574093304780724882449441796284 Theorem 4: I1prime(2837) = 0.576896725949557340611795211390 Theorem 4: I2(2837) = 0.573042079976524413120403243152 Theorem 4: I2prime(2837) = 0.575845501145356871282756658259 --------- EK(2843) = 10.7521305855514809721607186247 EK(2843)plus = 10.3088801813182911013181657712 Theorem 4: I1(2843) = 0.573743311621069123403177456787 Theorem 4: I1prime(2843) = 0.576541557613909024804592363624 --------- EK(2851) = 7.81867792052599551072442135584 EK(2851)plus = 6.83481027123649699522776186034 gammaK3(2851) = 8.54384768901149921585911638941 gammaK3(2851)plus = 7.94205457237823567197893339894 gammaK5(2851) = 4.23065494954486296319770558625 gammaK5(2851)plus = -7.02561893987252198590893216512 Theorem 4: I1(2851) = 0.575161723147437710303129353677 Theorem 4: I1prime(2851) = 0.577953100371617595212825744558 Theorem 4: I3(2851) = 0.569486135603670595329661093452 Theorem 4: I3prime(2851) = 0.572277512827850480239357484333 Theorem 4: I5(2851) = 0.609284263940244662448803096268 Theorem 4: I5prime(2851) = 0.612075641164424547358499487149 --------- EK(2857) = 9.27645146570564720560460010200 EK(2857)plus = 9.12190826958438278690056714285 gammaK2(2857) = 9.12190826958438278690056714285 gammaK2(2857)plus = 8.84996638175049726436276293967 gammaK3(2857) = 9.66895112557626489612739871813 gammaK3(2857)plus = 8.87967697488403488829180056700 gammaK4(2857) = 8.84996638175049726436276293967 gammaK4(2857)plus = 9.34133215429441135906123522266 gammaK6(2857) = 8.87967697488403488829180056700 gammaK6(2857)plus = 7.36602000685111361448238850328 Theorem 4: I1(2857) = 0.574074855614924479897287045132 Theorem 4: I1prime(2857) = 0.576861104705341417247481238419 Theorem 4: I2(2857) = 0.571206693792984521195325008199 Theorem 4: I2prime(2857) = 0.573992942883401458545519201486 Theorem 4: I3(2857) = 0.568714415874975904915538984401 Theorem 4: I3prime(2857) = 0.571500664965392842265733177687 Theorem 4: I4(2857) = 0.563440476980064033728206905630 Theorem 4: I4prime(2857) = 0.566226726070480971078401098917 Theorem 4: I6(2857) = 0.564914931103405530190497025728 Theorem 4: I6prime(2857) = 0.567701180193822467540691219015 --------- EK(2861) = 8.81306715140776852822365454990 EK(2861)plus = 8.69622870942925177135509294653 gammaK2(2861) = 8.69622870942925177135509294653 gammaK2(2861)plus = 8.50782193764674748986914574222 gammaK5(2861) = -10.5751892049787683797478754936 gammaK5(2861)plus = -2.03554029963479489861318200667 Theorem 4: I1(2861) = 0.574214905073252485985296981772 Theorem 4: I1prime(2861) = 0.576997746504388888173975405285 Theorem 4: I2(2861) = 0.571395946015312315424293994305 Theorem 4: I2prime(2861) = 0.574178787446448717612972417818 Theorem 4: I5(2861) = 0.565839980553385456787088681160 Theorem 4: I5prime(2861) = 0.568622821984521858975767104672 --------- EK(2879) = 10.4554853047276458869773384405 EK(2879)plus = 9.69198326890663288847524374532 Theorem 4: I1(2879) = 0.574112381771271586125399632241 Theorem 4: I1prime(2879) = 0.576879997577599652793904248213 --------- EK(2887) = 8.33862822582008791270413400083 EK(2887)plus = 8.96464253483457444826812478900 gammaK3(2887) = 9.16550380573962538892388276141 gammaK3(2887)plus = 7.95666246959747570590989413681 Theorem 4: I1(2887) = 0.573891542327272042984023915660 Theorem 4: I1prime(2887) = 0.576652447794930717652779721162 Theorem 4: I3(2887) = 0.570198427854835371315904334035 Theorem 4: I3prime(2887) = 0.572959333322494045984660139537 --------- EK(2897) = 9.16392814122355396018742476339 EK(2897)plus = 8.51676950773036295339167992580 gammaK2(2897) = 8.51676950773036295339167992580 gammaK2(2897)plus = 5.20410950211298601041848892429 gammaK4(2897) = 5.20410950211298601041848892429 gammaK4(2897)plus = -0.276170403330927615996201030670 Theorem 4: I1(2897) = 0.574497307360030982026161592068 Theorem 4: I1prime(2897) = 0.577249873312299404125268754872 Theorem 4: I2(2897) = 0.575907514305919685544672031322 Theorem 4: I2prime(2897) = 0.578660080258188107643779194126 Theorem 4: I4(2897) = 0.585162761231398292678765935142 Theorem 4: I4prime(2897) = 0.587915327183666714777873097946 --------- EK(2903) = 4.26237123055535396604266993026 EK(2903)plus = 6.42659255557816340143863748521 Theorem 4: I1(2903) = 0.574254410088142436667986108912 Theorem 4: I1prime(2903) = 0.577001997946179869435778425196 --------- EK(2909) = 10.2565785510234031821255015973 EK(2909)plus = 10.2797452289694569653932996083 gammaK2(2909) = 10.2797452289694569653932996083 gammaK2(2909)plus = 9.43504304331624666765820696077 Theorem 4: I1(2909) = 0.573671767193227261427146011589 Theorem 4: I1prime(2909) = 0.576414396030398926362604651612 Theorem 4: I2(2909) = 0.571305703769139320004821187088 Theorem 4: I2prime(2909) = 0.574048332606310984940279827111 --------- EK(2917) = 10.6018603457504494103853695416 EK(2917)plus = 11.0748619383786439551905061511 gammaK2(2917) = 11.0748619383786439551905061511 gammaK2(2917)plus = 8.25132227056947665902372992968 gammaK3(2917) = 9.82890997383045019444879535190 gammaK3(2917)plus = 9.36903945741509833057189747722 gammaK6(2917) = 9.36903945741509833057189747722 gammaK6(2917)plus = 7.14650593008411728853940899988 Theorem 4: I1(2917) = 0.573254553935383065898890968432 Theorem 4: I1prime(2917) = 0.575990600221345933326438941291 Theorem 4: I2(2917) = 0.573491029339772728761323817324 Theorem 4: I2prime(2917) = 0.576227075625735596188871790183 Theorem 4: I3(2917) = 0.568047038371403530015851032906 Theorem 4: I3prime(2917) = 0.570783084657366397443399005765 Theorem 4: I6(2917) = 0.567078404718324837738334171368 Theorem 4: I6prime(2917) = 0.569814451004287705165882144226 --------- EK(2927) = 8.50755086575846295856985055846 EK(2927)plus = 9.46810929975731542601255019559 Theorem 4: I1(2927) = 0.573650594635347772995205445149 Theorem 4: I1prime(2927) = 0.576378459736746230223198686465 --------- EK(2939) = 6.76816345424289559107858819441 EK(2939)plus = 7.79306707429359061241550324343 Theorem 4: I1(2939) = 0.574213388247245557672247115652 Theorem 4: I1prime(2939) = 0.576931504199055944790323700495 --------- EK(2953) = 6.50505069229510511459812560274 EK(2953)plus = 7.56139158381263101862615967425 gammaK2(2953) = 7.56139158381263101862615967425 gammaK2(2953)plus = 8.41522013054301195493813856293 gammaK3(2953) = 8.75540487619329212504889709170 gammaK3(2953)plus = 6.73949312047872640069303284359 gammaK4(2953) = 8.41522013054301195493813856293 gammaK4(2953)plus = 8.50214646484214153237277094560 gammaK6(2953) = 6.73949312047872640069303284359 gammaK6(2953)plus = 6.49130557776428032878687079299 Theorem 4: I1(2953) = 0.574295461883132725936165034182 Theorem 4: I1prime(2953) = 0.577002296870173350146480307498 Theorem 4: I2(2953) = 0.570933987725204653617717758968 Theorem 4: I2prime(2953) = 0.573640822712245277828033032284 Theorem 4: I3(2953) = 0.572412526487151558471809362573 Theorem 4: I3prime(2953) = 0.575119361474192182682124635890 Theorem 4: I4(2953) = 0.565573687077510757985891875175 Theorem 4: I4prime(2953) = 0.568280522064551382196207148492 Theorem 4: I6(2953) = 0.564520898905522952311611634766 Theorem 4: I6prime(2953) = 0.567227733892563576521926908082 --------- EK(2957) = 8.75341312138980903957767514787 EK(2957)plus = 8.00125293687187522862250757673 gammaK2(2957) = 8.00125293687187522862250757673 gammaK2(2957)plus = 6.44002205560153938525242684199 Theorem 4: I1(2957) = 0.574762418493401912599128874353 Theorem 4: I1prime(2957) = 0.577466048574542804756574565210 Theorem 4: I2(2957) = 0.573912894397870922559123868297 Theorem 4: I2prime(2957) = 0.576616524479011814716569559154 --------- EK(2963) = 6.68200118814790378130667270611 EK(2963)plus = 7.79922744016718621568261948097 Theorem 4: I1(2963) = 0.574204472285063901129855642883 Theorem 4: I1prime(2963) = 0.576903310079653220927685990515 --------- EK(2969) = 5.12162402773672368199135678101 EK(2969)plus = 8.08944627627529788326175539356 gammaK2(2969) = 8.08944627627529788326175539356 gammaK2(2969)plus = 7.40948920468814454704525230338 gammaK4(2969) = 7.40948920468814454704525230338 gammaK4(2969)plus = 5.19131811418629489369174522287 Theorem 4: I1(2969) = 0.573489262412208011893795003395 Theorem 4: I1prime(2969) = 0.576183325914486906705954285199 Theorem 4: I2(2969) = 0.572679124337784026303519564142 Theorem 4: I2prime(2969) = 0.575373187840062921115678845947 Theorem 4: I4(2969) = 0.573205097398585793038923953392 Theorem 4: I4prime(2969) = 0.575899160900864687851083235196 --------- EK(2971) = 8.51703692096464741825640430105 EK(2971)plus = 8.51329463428762150650468775422 gammaK3(2971) = 9.20233501914651144867198632551 gammaK3(2971)plus = 7.17454412257708166364860574175 gammaK5(2971) = 8.60693525527982747655212379599 gammaK5(2971)plus = 7.54246981080227332597094138193 Theorem 4: I1(2971) = 0.574349589203329850536784715901 Theorem 4: I1prime(2971) = 0.577042065255674162874114826338 Theorem 4: I3(2971) = 0.572014204596421753342913549407 Theorem 4: I3prime(2971) = 0.574706680648766065680243659843 Theorem 4: I5(2971) = 0.566305400857127029819092748200 Theorem 4: I5prime(2971) = 0.568997876909471342156422858636 --------- EK(2999) = 9.12697206030639229706615035690 EK(2999)plus = 9.90304767988557981114461937517 Theorem 4: I1(2999) = 0.573652691666766373914905463743 Theorem 4: I1prime(2999) = 0.576323150031926150128482834654 --------- Precomputation time: 22 min, 44 sec, 389 millisec Final step gammaK computation time (output time included): 9 min, 51 sec, 316 millisec Total elapsed time: 32 min, 35 sec, 705 millisec ****** END PROGRAM ******** ? -------- macmini ------- 6 warnings generated. Reading GPRC: /Users/languasc/.gprc GPRC Done. GP/PARI CALCULATOR Version 2.13.1 (released) i386 running darwin (x86-64/GMP-6.2.1 kernel) 64-bit version compiled: Jan 25 2021, Apple clang version 12.0.0 (clang-1200.0.32.28) threading engine: single (readline v8.0 enabled, extended help enabled) Copyright (C) 2000-2020 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 ?17 for how to get moral (and possibly technical) support. parisizemax = 400003072, primelimit = 500000 ? init_gammaK();gamma_K(3,3000,30) ************ A. LANGUASCO ************* ********* COMPUTATION of LvR; ********** ********* Theorem 4 CLM ********** ******* GAMMAK_r CONSTANTS IN ONE INTERVAL ******** ********* with the S-FUNCTION (decimated in frequency) ********** Interval=[3,2999] Performing precomputations of S(a/q) (decimated in frequency) and log(Gamma(a/q)) for this interval Precomputation for q = 3 Precomputation for q = 5 Precomputation for q = 7 .... Precomputation for q = 2999 --------- Starting computations --------- EK(3) = 0.945497280871680703239749994158 EK(3)plus = 0.577215664901532860606512090082 Theorem 4: I1(3) = 0.198095568268812928771063687848 Theorem 4: I1prime(3) = 0.747401712602867774468686306310 --------- EK(5) = 1.72062421251340476169572878865 EK(5)plus = 1.40489514161703774859755907976 gammaK2(5) = 1.40489514161703774859755907976 gammaK2(5)plus = 0.577215664901532860606512090082 Theorem 4: I1(5) = 0.204334277694233903319117289038 Theorem 4: I1prime(5) = 0.606693755802758996969307122345 Theorem 4: I2(5) = 0.501267831754256327473684623227 Theorem 4: I2prime(5) = 0.903627309862781421123874456533 --------- EK(7) = 2.08759407471733013281542471957 EK(7)plus = 1.95715645444971475271382186143 gammaK3(7) = 0.592851354895253239563134841433 gammaK3(7)plus = 0.577215664901532860606512090082 Theorem 4: I1(7) = 0.218709466175202040029326902218 Theorem 4: I1prime(7) = 0.543027824351087590880219026125 Theorem 4: I3(7) = 0.134266498359683844356121358763 Theorem 4: I3prime(7) = 0.458584856535569395207013482670 --------- EK(11) = 2.41542590428326783034287963583 EK(11)plus = 2.66207409890433174906654072453 gammaK5(11) = 0.492997360604491935512824706087 gammaK5(11)plus = 0.577215664901532860606512090082 Theorem 4: I1(11) = 0.262364482821009588386872472980 Theorem 4: I1prime(11) = 0.502154010100846642793066830776 Theorem 4: I5(11) = 0.126603916662327440553315174145 Theorem 4: I5prime(11) = 0.366393443942164494959509531942 --------- EK(13) = 2.61075773741765019699776108857 EK(13)plus = 2.89959572414790509559591203013 gammaK2(13) = 2.89959572414790509559591203013 gammaK2(13)plus = 1.55126373654266759791379042627 gammaK3(13) = 0.706057072266991534635571571852 gammaK3(13)plus = 1.04718723173231299991374416194 gammaK6(13) = 1.04718723173231299991374416194 gammaK6(13)plus = 0.577215664901532860606512090082 Theorem 4: I1(13) = 0.293700707345981078201079846319 Theorem 4: I1prime(13) = 0.507446487134442472872203799783 Theorem 4: I2(13) = 0.507769410113884278122713294104 Theorem 4: I2prime(13) = 0.721515189902345672793837247568 Theorem 4: I3(13) = 0.176699872155008895640751913712 Theorem 4: I3prime(13) = 0.390445651943470290311875867176 Theorem 4: I6(13) = 0.416720725971925802621310104236 Theorem 4: I6prime(13) = 0.630466505760387197292434057700 --------- EK(17) = 3.58197604409757765927178812919 EK(17)plus = 3.23179164885108167689200470642 gammaK2(17) = 3.23179164885108167689200470642 gammaK2(17)plus = 1.75954017828750487786897791120 gammaK4(17) = 1.75954017828750487786897791120 gammaK4(17)plus = 0.908307099257038977863668595014 Theorem 4: I1(17) = 0.386047971926026660636023515253 Theorem 4: I1prime(17) = 0.563123805929540165651619428870 Theorem 4: I2(17) = 0.519170097185602662623818711384 Theorem 4: I2prime(17) = 0.696245931189116167639414625001 Theorem 4: I4(17) = 0.518678201344011214888023291970 Theorem 4: I4prime(17) = 0.695754035347524719903619205587 --------- EK(19) = 4.79040941571428332590703936458 EK(19)plus = 3.36702810226943360422911738361 gammaK3(19) = 0.754976522069995135705585845302 gammaK3(19)plus = 1.41941168400393330284045648841 Theorem 4: I1(19) = 0.460147513117554618798084483047 Theorem 4: I1prime(19) = 0.623727456404579088798586007041 Theorem 4: I3(19) = 0.202644533364050203943873980831 Theorem 4: I3prime(19) = 0.366224476651074673944375504825 --------- EK(23) = 2.61128917618820092550739164964 EK(23)plus = 3.56605274186303485506490005633 Theorem 4: I1(23) = 0.365245720724338102440190315252 Theorem 4: I1prime(23) = 0.507768185084753997476860898516 --------- EK(29) = 3.09373170599426872316275179819 EK(29)plus = 3.77451272291818155837540505527 gammaK2(29) = 3.77451272291818155837540505527 gammaK2(29)plus = 2.35152485081565942835544918350 Theorem 4: I1(29) = 0.413803011144434497025327262559 Theorem 4: I1prime(29) = 0.534063576501094283710444120857 Theorem 4: I2(29) = 0.502301554610833068819325649367 Theorem 4: I2prime(29) = 0.622562119967492855504442507666 --------- EK(31) = 4.31444292526747509770757441042 EK(31)plus = 3.74063417131631765163927862231 gammaK3(31) = -0.150731965099300571787342293148 gammaK3(31)plus = 1.45435538233448184781083638924 gammaK5(31) = -0.611483432734591454518443563940 gammaK5(31)plus = 0.818369390936743274612146100711 Theorem 4: I1(31) = 0.467839276317710691258669146359 Theorem 4: I1prime(31) = 0.582305516467215566122974623844 Theorem 4: I3(31) = 0.259824767909755946379180035172 Theorem 4: I3prime(31) = 0.374291008059260821243485512657 Theorem 4: I5(31) = 0.183434255775269047505338549608 Theorem 4: I5prime(31) = 0.297900495924773922369644027093 --------- EK(37) = 4.30493818995760201798557926417 EK(37)plus = 3.88346103237113739135523493388 gammaK2(37) = 3.88346103237113739135523493388 gammaK2(37)plus = 2.56526490957875444016160624328 gammaK3(37) = 2.89179850675235322536112966312 gammaK3(37)plus = 1.91412160181749087955411710513 gammaK6(37) = 1.91412160181749087955411710513 gammaK6(37)plus = 1.49319073415553365287731408250 Theorem 4: I1(37) = 0.478263244064424493342265055051 Theorem 4: I1prime(37) = 0.578566519415652950130267712580 Theorem 4: I2(37) = 0.502361661449443974731179856182 Theorem 4: I2prime(37) = 0.602664936800672431519182513711 Theorem 4: I3(37) = 0.490820000548711444728586489694 Theorem 4: I3prime(37) = 0.591123275899939901516589147222 Theorem 4: I6(37) = 0.381788474594065380108426470514 Theorem 4: I6prime(37) = 0.482091749945293836896429128043 --------- EK(41) = 3.97152162792133216028257040014 EK(41)plus = 3.90067243331576039538420460289 gammaK2(41) = 3.90067243331576039538420460289 gammaK2(41)plus = 2.29962832234740606753006595545 gammaK4(41) = 2.29962832234740606753006595545 gammaK4(41)plus = 0.898378284526981068858889117799 gammaK5(41) = 3.22488523012706044135691507638 gammaK5(41)plus = 1.45543559794265981169006895878 Theorem 4: I1(41) = 0.479149101392087952466949392833 Theorem 4: I1prime(41) = 0.571988403059695647563618477159 Theorem 4: I2(41) = 0.537644489249199888867882270465 Theorem 4: I2prime(41) = 0.630483790916807583964551354791 Theorem 4: I4(41) = 0.618218910064116484078073953636 Theorem 4: I4prime(41) = 0.711058211731724179174743037961 Theorem 4: I5(41) = 0.604862506473299500966525599394 Theorem 4: I5prime(41) = 0.697701808140907196063194683720 --------- EK(43) = 4.37862750574695049413775062336 EK(43)plus = 4.37462848511375110150884874389 gammaK3(43) = 3.20605324683974879729238371541 gammaK3(43)plus = 1.50273581320053538378063076842 Theorem 4: I1(43) = 0.471020858992305687025769113428 Theorem 4: I1prime(43) = 0.560573242699295268537027268508 Theorem 4: I3(43) = 0.585146324668082035479359520332 Theorem 4: I3prime(43) = 0.674698708375071616990617675412 --------- EK(47) = 4.79939425890741613452758429988 EK(47)plus = 4.78330592374031492736088514964 Theorem 4: I1(47) = 0.471760959478055597035740111518 Theorem 4: I1prime(47) = 0.555459820384796001097065126078 --------- EK(53) = 4.33773685859709231869696082307 EK(53)plus = 4.06734814093911422415451881781 gammaK2(53) = 4.06734814093911422415451881781 gammaK2(53)plus = 2.40130214544730654985923788535 Theorem 4: I1(53) = 0.502728911231351203589510439420 Theorem 4: I1prime(53) = 0.579080678799661238861519461324 Theorem 4: I2(53) = 0.545999975766001748651282629513 Theorem 4: I2prime(53) = 0.622351743334311783923291651418 --------- EK(59) = 5.43351634538500398077634438193 EK(59)plus = 5.74977495098717868985714511291 Theorem 4: I1(59) = 0.471416769620293795033082568881 Theorem 4: I1prime(59) = 0.541719139342806199354048954635 --------- EK(61) = 5.07108519057651619595805098113 EK(61)plus = 4.71919160448137601223479232791 gammaK2(61) = 4.71919160448137601223479232791 gammaK2(61)plus = 1.54821602805345271801422232000 gammaK3(61) = -0.466850977472605089138226878977 gammaK3(61)plus = 1.70338576622172334328223443784 gammaK5(61) = 3.25808406155061611844948908643 gammaK5(61)plus = 0.472316852146190399593472983080 gammaK6(61) = 1.70338576622172334328223443784 gammaK6(61)plus = 1.24670651637220883057298539660 Theorem 4: I1(61) = 0.503285455188380788117777809642 Theorem 4: I1prime(61) = 0.571800019591269308930300961366 Theorem 4: I2(61) = 0.629023831033918929119639574622 Theorem 4: I2prime(61) = 0.697538395436807449932162726345 Theorem 4: I3(61) = 0.380108811185585845780751144763 Theorem 4: I3prime(61) = 0.448623375588474366593274296487 Theorem 4: I5(61) = 0.764293647639478427144013754128 Theorem 4: I5prime(61) = 0.832808212042366947956536905851 Theorem 4: I6(61) = 0.491361481808974576738886139375 Theorem 4: I6prime(61) = 0.559876046211863097551409291098 --------- EK(67) = 5.29213930662896260873428461831 EK(67)plus = 5.49478574409231087894450914285 gammaK3(67) = 0.0767464556316903845794689964561 gammaK3(67)plus = 2.11926555504745980163146012580 Theorem 4: I1(67) = 0.489925670272959749976603344893 Theorem 4: I1prime(67) = 0.553633134203125902395846859990 Theorem 4: I3(67) = 0.385147841338196707374571418708 Theorem 4: I3prime(67) = 0.448855305268362859793814933804 --------- EK(71) = 5.25525819281894616772013128637 EK(71)plus = 5.02459221437013823603453457463 gammaK5(71) = -1.06014239044868179051521090563 gammaK5(71)plus = 0.594821950857378356078636191235 Theorem 4: I1(71) = 0.507861069719587057193092680912 Theorem 4: I1prime(71) = 0.568756496534462991783513459948 Theorem 4: I5(71) = 0.412166970688796115087733228144 Theorem 4: I5prime(71) = 0.473062397503672049678154007180 --------- EK(73) = 4.06694909044749529201648815625 EK(73)plus = 5.56638018904420607773144876527 gammaK2(73) = 5.56638018904420607773144876527 gammaK2(73)plus = 4.54565054713704097155494836702 gammaK3(73) = 0.528513497612404132887863675544 gammaK3(73)plus = 1.51956671061307233158628617585 gammaK4(73) = 4.54565054713704097155494836702 gammaK4(73)plus = 4.26727461166416014258618666052 gammaK6(73) = 1.51956671061307233158628617585 gammaK6(73)plus = 0.198867894490332925185403869023 Theorem 4: I1(73) = 0.478251762094570205263681537651 Theorem 4: I1prime(73) = 0.537841476554964526501071938448 Theorem 4: I2(73) = 0.477645925465692022089405468706 Theorem 4: I2prime(73) = 0.537235639926086343326795869503 Theorem 4: I3(73) = 0.470123596648443908459757961876 Theorem 4: I3prime(73) = 0.529713311108838229697148362674 Theorem 4: I4(73) = 0.352299643198662103114577903703 Theorem 4: I4prime(73) = 0.411889357659056424351968304501 Theorem 4: I6(73) = 0.665735765499200540604686093166 Theorem 4: I6prime(73) = 0.725325479959594861842076493964 --------- EK(79) = 4.99827631817068010789431392945 EK(79)plus = 4.31392816983842153234814442952 gammaK3(79) = 1.50430225308293569366011907576 gammaK3(79)plus = 2.39474925606377842189518158289 Theorem 4: I1(79) = 0.529964401007721596286208508549 Theorem 4: I1prime(79) = 0.585982963218837256467912938568 Theorem 4: I3(79) = 0.448707402545542983286821762388 Theorem 4: I3prime(79) = 0.504725964756658643468526192407 --------- EK(83) = 3.03313611343607418716403819105 EK(83)plus = 4.06119890648015486954960478374 Theorem 4: I1(83) = 0.514494323442760714089236729420 Theorem 4: I1prime(83) = 0.568382623537841176570644927265 --------- EK(89) = 4.16409079888983276880841110372 EK(89)plus = 5.44834851555434719261902953243 gammaK2(89) = 5.44834851555434719261902953243 gammaK2(89)plus = 5.07683223451649186585193328448 gammaK4(89) = 5.07683223451649186585193328448 gammaK4(89)plus = 3.95766546355309985171612370645 Theorem 4: I1(89) = 0.500129148268656832444822157732 Theorem 4: I1prime(89) = 0.551136379742885694243888243421 Theorem 4: I2(89) = 0.469117410698058646950059746396 Theorem 4: I2prime(89) = 0.520124642172287508749125832085 Theorem 4: I4(89) = 0.445874486534990283361994807623 Theorem 4: I4prime(89) = 0.496881718009219145161060893312 --------- EK(97) = 4.89124074040389666830751468857 EK(97)plus = 4.44563411256346738186380452664 gammaK2(97) = 4.44563411256346738186380452664 gammaK2(97)plus = 4.10542001124412299887571330143 gammaK3(97) = 2.09662737768036026575514459776 gammaK3(97)plus = 3.18373876530139323164923119027 gammaK4(97) = 4.10542001124412299887571330143 gammaK4(97)plus = 3.28460595214343505410020912217 gammaK6(97) = 3.18373876530139323164923119027 gammaK6(97)plus = 2.84239337220984254237448924140 Theorem 4: I1(97) = 0.535052324025674023802861289232 Theorem 4: I1prime(97) = 0.582705563385084261533243806125 Theorem 4: I2(97) = 0.497781099291445592822803661059 Theorem 4: I2prime(97) = 0.545434338650855830553186177952 Theorem 4: I3(97) = 0.442262433892725472004208955717 Theorem 4: I3prime(97) = 0.489915673252135709734591472610 Theorem 4: I4(97) = 0.472572117718109637812550112591 Theorem 4: I4prime(97) = 0.520225357077519875542932629484 Theorem 4: I6(97) = 0.417921838746676479929628976994 Theorem 4: I6prime(97) = 0.465575078106086717660011493886 --------- EK(101) = 5.29701289150966971887860032739 EK(101)plus = 5.93364557387726998305789899164 gammaK2(101) = 5.93364557387726998305789899164 gammaK2(101)plus = 5.34689212808364035596475992773 gammaK5(101) = 4.55696518850615129321134550644 gammaK5(101)plus = 3.09434027686167008893236626840 Theorem 4: I1(101) = 0.511051370287400032189051693697 Theorem 4: I1prime(101) = 0.557202575455812626697893676366 Theorem 4: I2(101) = 0.481089867152364394138902833153 Theorem 4: I2prime(101) = 0.527241072320776988647744815822 Theorem 4: I5(101) = 0.493322336382252786648400639431 Theorem 4: I5prime(101) = 0.539473541550665381157242622100 --------- EK(103) = 5.14433955125208822113330503220 EK(103)plus = 5.53312508630999898815400644939 gammaK3(103) = 4.94456101455515257752216321063 gammaK3(103)plus = 3.77967671139084488191620913045 Theorem 4: I1(103) = 0.518712241951921515854629275328 Theorem 4: I1prime(103) = 0.564150761444368925371968513711 Theorem 4: I3(103) = 0.498973578792150960729229905122 Theorem 4: I3prime(103) = 0.544412098284598370246569143505 --------- EK(107) = 5.45827420997024503421680245453 EK(107)plus = 5.35744691959596839332603590620 Theorem 4: I1(107) = 0.527209033579713598241663126861 Theorem 4: I1prime(107) = 0.571292324470863656480383870418 --------- EK(109) = 6.90663814626423653219469837704 EK(109)plus = 6.28639312060842026587282318484 gammaK2(109) = 6.28639312060842026587282318484 gammaK2(109)plus = 5.69352866020314267495561890116 gammaK3(109) = 4.79611273217125792949469465545 gammaK3(109)plus = 4.40517203175896500652871998622 gammaK6(109) = 4.40517203175896500652871998622 gammaK6(109)plus = 3.12368634952877780647744866173 Theorem 4: I1(109) = 0.524349123223111189168593734488 Theorem 4: I1prime(109) = 0.567787529540047704912828146082 Theorem 4: I2(109) = 0.481954505529036534684611182136 Theorem 4: I2prime(109) = 0.525392911845973050428845593731 Theorem 4: I3(109) = 0.464502616633099288403540430955 Theorem 4: I3prime(109) = 0.507941022950035804147774842549 Theorem 4: I6(109) = 0.472457938589559131597044770703 Theorem 4: I6prime(109) = 0.515896344906495647341279182298 --------- EK(113) = 4.02173038257803067578318006617 EK(113)plus = 4.71308052553071355344451609738 gammaK2(113) = 4.71308052553071355344451609738 gammaK2(113)plus = 3.92348478495142735036220475003 gammaK4(113) = 3.92348478495142735036220475003 gammaK4(113)plus = 3.71127309692046179056849587592 Theorem 4: I1(113) = 0.528584955184628145933964452176 Theorem 4: I1prime(113) = 0.570793774994559758153447769083 Theorem 4: I2(113) = 0.520499631612567275615451791518 Theorem 4: I2prime(113) = 0.562708451422498887834935108426 Theorem 4: I4(113) = 0.450741728162267580499573864414 Theorem 4: I4prime(113) = 0.492950547972199192719057181321 --------- EK(127) = 5.08859912415333449423215636240 EK(127)plus = 5.28427526641642291108714895825 gammaK3(127) = -2.79801304120940620668043846998 gammaK3(127)plus = 1.20305479269615283047814717431 Theorem 4: I1(127) = 0.533418860632190644771682329650 Theorem 4: I1prime(127) = 0.571864789889798512018090590029 Theorem 4: I3(127) = 0.452392604047739533585484921535 Theorem 4: I3prime(127) = 0.490838533305347400831893181914 --------- EK(131) = 2.83682634158837909860285797321 EK(131)plus = 4.29182422162389365669036230041 gammaK5(131) = 0.428629768979552785225883062756 gammaK5(131)plus = 1.95907768456322206307326640911 Theorem 4: I1(131) = 0.532720867828223735194365812828 Theorem 4: I1prime(131) = 0.570222385699001823995515228298 Theorem 4: I5(131) = 0.441560775747007113309519814278 Theorem 4: I5prime(131) = 0.479062293617785202110669229748 --------- EK(137) = 4.93700022614368468691962999711 EK(137)plus = 5.17281966401368126952267004684 gammaK2(137) = 5.17281966401368126952267004684 gammaK2(137)plus = 1.89225554746074988471623386641 gammaK4(137) = 1.89225554746074988471623386641 gammaK4(137)plus = 1.41554559219947824555879305166 Theorem 4: I1(137) = 0.537180257311675144732571142674 Theorem 4: I1prime(137) = 0.573356587648646651462829893615 Theorem 4: I2(137) = 0.597099962530285948744158318951 Theorem 4: I2prime(137) = 0.633276292867257455474417069892 Theorem 4: I4(137) = 0.548538842334615857279111766910 Theorem 4: I4prime(137) = 0.584715172671587364009370517851 --------- EK(139) = 5.88916863399867186726383730369 EK(139)plus = 5.15673467267785693456200640445 gammaK3(139) = 4.82250779060876633082653527400 gammaK3(139)plus = 1.87864672967046444750412542695 Theorem 4: I1(139) = 0.544896405707014771548861753775 Theorem 4: I1prime(139) = 0.580653463193469059644432658984 Theorem 4: I3(139) = 0.599595170853302059470049340406 Theorem 4: I3prime(139) = 0.635352228339756347565620245615 --------- EK(149) = 5.98342477769515981450242785739 EK(149)plus = 6.35744273145487616682151978517 gammaK2(149) = 6.35744273145487616682151978517 gammaK2(149)plus = 4.84970870332354566698200744967 Theorem 4: I1(149) = 0.531504373460804904435319478605 Theorem 4: I1prime(149) = 0.565314821473949898631214264248 Theorem 4: I2(149) = 0.531596947020379344912750064409 Theorem 4: I2prime(149) = 0.565407395033524339108644850052 --------- EK(151) = 5.04201611352872179914519461022 EK(151)plus = 5.66732269410388218441768644382 gammaK3(151) = 3.18837051110558786676413035192 gammaK3(151)plus = 4.51792352449443230948656367529 gammaK5(151) = -3.80816618051917862917922213522 gammaK5(151)plus = 0.518331941243600863009215792320 Theorem 4: I1(151) = 0.535041812855369691282853291064 Theorem 4: I1prime(151) = 0.568490345100802520141494866394 Theorem 4: I3(151) = 0.459597163498958668985159318603 Theorem 4: I3prime(151) = 0.493045695744391497843800893933 Theorem 4: I5(151) = 0.414606378393139087804635580243 Theorem 4: I5prime(151) = 0.448054910638571916663277155573 --------- EK(157) = 7.40802206572222729350845201390 EK(157)plus = 5.67766459100970078752076942990 gammaK2(157) = 5.67766459100970078752076942990 gammaK2(157)plus = 4.95851858483281943689087197746 gammaK3(157) = 5.52959885335194066155742258077 gammaK3(157)plus = -0.0616629380771204920923416084627 gammaK6(157) = -0.0616629380771204920923416084627 gammaK6(157)plus = 1.52896818439119399573434215948 Theorem 4: I1(157) = 0.551704646001643499331997544011 Theorem 4: I1prime(157) = 0.584116478087209576623179885270 Theorem 4: I2(157) = 0.522449198097154602099433155899 Theorem 4: I2prime(157) = 0.554861030182720679390615497158 Theorem 4: I3(157) = 0.685302451390390852307491387322 Theorem 4: I3prime(157) = 0.717714283475956929598673728581 Theorem 4: I6(157) = 0.455984467249799223650657925902 Theorem 4: I6prime(157) = 0.488396299335365300941840267161 --------- EK(163) = 5.92966482288720678755499913844 EK(163)plus = 5.54289611872522541669860167904 gammaK3(163) = 4.90588898313826214404411610622 gammaK3(163)plus = 3.15824005198683661021783672853 Theorem 4: I1(163) = 0.545193625907475083676146977449 Theorem 4: I1prime(163) = 0.576636528381590900553091004400 Theorem 4: I3(163) = 0.550511331136541621842280583086 Theorem 4: I3prime(163) = 0.581954233610657438719224610038 --------- EK(167) = 8.03300175268872470467583357802 EK(167)plus = 6.80394798958259907108839110755 Theorem 4: I1(167) = 0.543446234091273340148810782762 Theorem 4: I1prime(167) = 0.574277522117880298626279160935 --------- EK(173) = 3.38434753653206190344297798897 EK(173)plus = 4.74313680866654143318864467269 gammaK2(173) = 4.74313680866654143318864467269 gammaK2(173)plus = 4.67926637542105177043998486091 Theorem 4: I1(173) = 0.541565158631512802988487649382 Theorem 4: I1prime(173) = 0.571526156273941750354380093501 Theorem 4: I2(173) = 0.523199886531556220431428165742 Theorem 4: I2prime(173) = 0.553160884173985167797320609861 --------- EK(179) = 3.86236132549903008112126130282 EK(179)plus = 5.59074764196693719810304550344 Theorem 4: I1(179) = 0.535933212231186848642073335766 Theorem 4: I1prime(179) = 0.565075829117932663227341899980 --------- EK(181) = 5.14111848776848135810136664257 EK(181)plus = 5.52401113238735460988935254057 gammaK2(181) = 5.52401113238735460988935254057 gammaK2(181)plus = -1.30597941540642869584044973085 gammaK3(181) = 3.24982011094777268859812356756 gammaK3(181)plus = 3.38917198879821744836194431621 gammaK5(181) = 1.80174524128128674217814593070 gammaK5(181)plus = 2.88636123584724509880761000314 gammaK6(181) = 3.38917198879821744836194431621 gammaK6(181)plus = -1.68661451141097477887540660750 Theorem 4: I1(181) = 0.544239085367817217370439250392 Theorem 4: I1prime(181) = 0.573119624430405138186211956162 Theorem 4: I2(181) = 0.667294436280839794837117415599 Theorem 4: I2prime(181) = 0.696174975343427715652890121369 Theorem 4: I3(181) = 0.517925591473012025124153127239 Theorem 4: I3prime(181) = 0.546806130535599945939925833009 Theorem 4: I5(181) = 0.466108504638316433488377457267 Theorem 4: I5prime(181) = 0.494989043700904354304150163037 Theorem 4: I6(181) = 0.801666347320118830116411584264 Theorem 4: I6prime(181) = 0.830546886382706750932184290034 --------- EK(191) = 4.69286990201422664003552434812 EK(191)plus = 6.21621633683078754687889560801 gammaK5(191) = 1.69080498901649766822640843374 gammaK5(191)plus = -1.56789666424657119689967903352 Theorem 4: I1(191) = 0.536335631659398710022576337870 Theorem 4: I1prime(191) = 0.563979176017538867248102390250 Theorem 4: I5(191) = 0.703503948405519700206518417672 Theorem 4: I5prime(191) = 0.731147492763659857432044470052 --------- EK(193) = 5.16342219673915483320078262720 EK(193)plus = 6.33516880970302226248749231989 gammaK2(193) = 6.33516880970302226248749231989 gammaK2(193)plus = 4.35724260560602289039604350713 gammaK3(193) = 4.21878348590335507019057239800 gammaK3(193)plus = 4.11406726811222459572312176378 gammaK4(193) = 4.35724260560602289039604350713 gammaK4(193)plus = 0.475764125817049372641125199042 gammaK6(193) = 4.11406726811222459572312176378 gammaK6(193)plus = 3.17570859884783987733152202860 Theorem 4: I1(193) = 0.537974387467153853814723306514 Theorem 4: I1prime(193) = 0.565384232201033466063967739084 Theorem 4: I2(193) = 0.552145599836502619663242932510 Theorem 4: I2prime(193) = 0.579555444570382231912487365080 Theorem 4: I3(193) = 0.514141275916298896020497784424 Theorem 4: I3prime(193) = 0.541551120650178508269742216994 Theorem 4: I4(193) = 0.647597008843992121707856854176 Theorem 4: I4prime(193) = 0.675006853577871733957101286745 Theorem 4: I6(193) = 0.506441921954116149006850629895 Theorem 4: I6prime(193) = 0.533851766687995761256095062465 --------- EK(197) = 7.55148715896640647886485129372 EK(197)plus = 6.72431280547758930911931614898 gammaK2(197) = 6.72431280547758930911931614898 gammaK2(197)plus = 4.78187945992002300815769280366 Theorem 4: I1(197) = 0.546990697692074891848077040255 Theorem 4: I1prime(197) = 0.573945818757064629127565802139 Theorem 4: I2(197) = 0.547966672703293611173088026611 Theorem 4: I2prime(197) = 0.574921793768283348452576788494 --------- EK(199) = 6.47366513609320738699497459778 EK(199)plus = 4.97867314026834059118807347477 gammaK3(199) = 6.35360989319318411971132349800 gammaK3(199)plus = 4.06995989746389623008202468447 Theorem 4: I1(199) = 0.559486296178327771741067690354 Theorem 4: I1prime(199) = 0.586220158929461571717886484758 Theorem 4: I3(199) = 0.549745304833567070600003837577 Theorem 4: I3prime(199) = 0.576479167584700870576822631981 --------- EK(211) = 7.73613578424586162532810587585 EK(211)plus = 5.43928767077706865027592727891 gammaK3(211) = 5.70555759981940441995363614526 gammaK3(211)plus = 4.21933671245383296435753865957 gammaK5(211) = 2.04606639204743482231926335107 gammaK5(211)plus = 0.732685555158502153653526756575 Theorem 4: I1(211) = 0.562130309682298984001234784425 Theorem 4: I1prime(211) = 0.587615348413137395885720290451 Theorem 4: I3(211) = 0.537807081132688576025855994655 Theorem 4: I3prime(211) = 0.563292119863526987910341500681 Theorem 4: I5(211) = 0.590434956401523148776219812270 Theorem 4: I5prime(211) = 0.615919995132361560660705318296 --------- EK(223) = 7.81777971785991367471336734851 EK(223)plus = 6.97640718267880419790301145060 gammaK3(223) = 7.42635412277719087299074342864 gammaK3(223)plus = 5.83329634167489622858107398967 Theorem 4: I1(223) = 0.549470659148835264087536243197 Theorem 4: I1prime(223) = 0.573827288750006970207518699097 Theorem 4: I3(223) = 0.519586000169454843170141995399 Theorem 4: I3prime(223) = 0.543942629770626549290124451298 --------- EK(227) = 8.08053156951296218697071193757 EK(227)plus = 6.16478105833535800088839052312 Theorem 4: I1(227) = 0.558308431491024328912151039880 Theorem 4: I1prime(227) = 0.582312635108198677031679276946 --------- EK(229) = 7.16298632058099546745778115058 EK(229)plus = 5.19368182825228459062582716349 gammaK2(229) = 5.19368182825228459062582716349 gammaK2(229)plus = 3.11734603012432565429162176354 gammaK3(229) = 6.06670484306497674653236314490 gammaK3(229)plus = 5.42806227008792154244265867127 gammaK6(229) = 5.42806227008792154244265867127 gammaK6(229)plus = 3.48898125767163928830855893292 Theorem 4: I1(229) = 0.562969132226207201819319024527 Theorem 4: I1prime(229) = 0.586801246276883691505464794720 Theorem 4: I2(229) = 0.567874942567786867557007159084 Theorem 4: I2prime(229) = 0.591707056618463357243152929277 Theorem 4: I3(229) = 0.513883404228354665500734458927 Theorem 4: I3prime(229) = 0.537715518279031155186880229119 Theorem 4: I6(229) = 0.535801655446110925768075117326 Theorem 4: I6prime(229) = 0.559633769496787415454220887518 --------- EK(233) = 3.11948354485127541303115295258 EK(233)plus = 5.48268694035180653761326391137 gammaK2(233) = 5.48268694035180653761326391137 gammaK2(233)plus = 3.08419674191244428303609956589 gammaK4(233) = 3.08419674191244428303609956589 gammaK4(233)plus = 3.22649133540013800188462870820 Theorem 4: I1(233) = 0.543295896835775799849328878230 Theorem 4: I1prime(233) = 0.566791752239076233320459157862 Theorem 4: I2(233) = 0.571101851118115770417459801289 Theorem 4: I2prime(233) = 0.594597706521416203888590080921 Theorem 4: I4(233) = 0.518728047930996099327127811976 Theorem 4: I4prime(233) = 0.542223903334296532798258091609 --------- EK(239) = 3.99911017207833249512632297919 EK(239)plus = 4.89826038220509731091188200357 Theorem 4: I1(239) = 0.552760114719220264447678778024 Theorem 4: I1prime(239) = 0.575770465777756023552566020016 --------- EK(241) = 6.03752521401034215065709250935 EK(241)plus = 6.91099570349028181262249488655 gammaK2(241) = 6.91099570349028181262249488655 gammaK2(241)plus = 5.75085108157351747637638262232 gammaK3(241) = 6.69554677630080197643978744144 gammaK3(241)plus = 3.66584623695645814140105567059 gammaK4(241) = 5.75085108157351747637638262232 gammaK4(241)plus = 1.49463956720901072694167778292 gammaK5(241) = 6.13818383714203602653724571215 gammaK5(241)plus = 6.01464431248595597623122055806 gammaK6(241) = 3.66584623695645814140105567059 gammaK6(241)plus = 0.396288898783023453154235223180 Theorem 4: I1(241) = 0.544685166928506058368724559620 Theorem 4: I1prime(241) = 0.567538487484717120849834606782 Theorem 4: I2(241) = 0.538769333399758158918083920039 Theorem 4: I2prime(241) = 0.561622653955969221399193967200 Theorem 4: I3(241) = 0.568978177174428793495969165746 Theorem 4: I3prime(241) = 0.591831497730639855977079212908 Theorem 4: I4(241) = 0.622860975344854276606710706904 Theorem 4: I4prime(241) = 0.645714295901065339087820754066 Theorem 4: I5(241) = 0.454008204310156048348047393184 Theorem 4: I5prime(241) = 0.476861524866367110829157440345 Theorem 4: I6(241) = 0.648476042872387864921798969509 Theorem 4: I6prime(241) = 0.671329363428598927402909016670 --------- EK(251) = 5.04313708502347351042811119022 EK(251)plus = 5.85522475367262429906377535883 gammaK5(251) = 0.905168729921511023807818947029 gammaK5(251)plus = 2.03617031851646231212194724351 Theorem 4: I1(251) = 0.550458007965219651713534834609 Theorem 4: I1prime(251) = 0.572559819721746787258409175565 Theorem 4: I5(251) = 0.513430190524174045886893092463 Theorem 4: I5prime(251) = 0.535532002280701181431767433419 --------- EK(257) = 8.16991391232741391670225155227 EK(257)plus = 7.41413126491779482941571986652 gammaK2(257) = 7.41413126491779482941571986652 gammaK2(257)plus = 2.08137728308857005509709300451 gammaK4(257) = 2.08137728308857005509709300451 gammaK4(257)plus = -2.19863604169859436824047076949 Theorem 4: I1(257) = 0.551121818432920369612502324937 Theorem 4: I1prime(257) = 0.572797896889542321949814021479 Theorem 4: I2(257) = 0.602447700997501866597795075715 Theorem 4: I2prime(257) = 0.624123779454123818935106772257 Theorem 4: I4(257) = 0.678105872526988123719648384566 Theorem 4: I4prime(257) = 0.699781950983610076056960081108 --------- EK(263) = 7.30343624736815435414348077406 EK(263)plus = 6.88761891078185993452639437420 Theorem 4: I1(263) = 0.552432957505818509323700415128 Theorem 4: I1prime(263) = 0.573700720987413030511051278732 --------- EK(269) = 6.26034831666577102735252755712 EK(269)plus = 6.33572466741282346876839833227 gammaK2(269) = 6.33572466741282346876839833227 gammaK2(269)plus = 6.36010130778645498051550372888 Theorem 4: I1(269) = 0.553215751442989078819983853365 Theorem 4: I1prime(269) = 0.574091540172846687425282186128 Theorem 4: I2(269) = 0.529414517611309397167199347857 Theorem 4: I2prime(269) = 0.550290306341167005772497680620 --------- EK(271) = 5.97717804854803304223773905976 EK(271)plus = 4.91607375378349595312704873315 gammaK3(271) = 6.31500858058097615034990337433 gammaK3(271)plus = 0.216430906163261242863055967607 gammaK5(271) = 4.63377221787058062531201368787 gammaK5(271)plus = 4.04956315173185164709315751956 Theorem 4: I1(271) = 0.562861153615442344911251271978 Theorem 4: I1prime(271) = 0.583609741840922718615313753730 Theorem 4: I3(271) = 0.642342311346299230505620189609 Theorem 4: I3prime(271) = 0.663090899571779604209682671361 Theorem 4: I5(271) = 0.512658207978966137595801648731 Theorem 4: I5prime(271) = 0.533406796204446511299864130483 --------- EK(277) = 4.59280817714077895164777081661 EK(277)plus = 6.07306330239530923314413596279 gammaK2(277) = 6.07306330239530923314413596279 gammaK2(277)plus = 5.12118419307609740340519283643 gammaK3(277) = 5.02313042131886080898155627102 gammaK3(277)plus = 5.71496613055720612578957944976 gammaK6(277) = 5.71496613055720612578957944976 gammaK6(277)plus = 5.52059548369144512942691450753 Theorem 4: I1(277) = 0.549774739891850768549425242471 Theorem 4: I1prime(277) = 0.570151614914268661664894074172 Theorem 4: I2(277) = 0.546855650707479936934180796301 Theorem 4: I2prime(277) = 0.567232525729897830049649628003 Theorem 4: I3(277) = 0.507355026696989715653109139428 Theorem 4: I3prime(277) = 0.527731901719407608768577971129 Theorem 4: I6(277) = 0.460985192904834990472170385800 Theorem 4: I6prime(277) = 0.481362067927252883587639217501 --------- EK(281) = 4.66496432366211457505220852623 EK(281)plus = 4.99043740542558229612252801406 gammaK2(281) = 4.99043740542558229612252801406 gammaK2(281)plus = 0.375730211741553698875808900451 gammaK4(281) = 0.375730211741553698875808900451 gammaK4(281)plus = 1.66146569275750003655984886186 gammaK5(281) = 4.78408305204645527240486526260 gammaK5(281)plus = 2.86125679229915498590585970953 Theorem 4: I1(281) = 0.558158352515279445420554131679 Theorem 4: I1prime(281) = 0.578295333477185680295934982838 Theorem 4: I2(281) = 0.607350236337108351060051585525 Theorem 4: I2prime(281) = 0.627487217299014585935432436685 Theorem 4: I4(281) = 0.534825119833884966190522523305 Theorem 4: I4prime(281) = 0.554962100795791201065903374465 Theorem 4: I5(281) = 0.560098387874501415351472179232 Theorem 4: I5prime(281) = 0.580235368836407650226853030392 --------- EK(283) = 7.15028579741068251409225231188 EK(283)plus = 7.04969230270522888347459792033 gammaK3(283) = 4.98531473279968197648243113881 gammaK3(283)plus = 4.97586491684363595815965358763 Theorem 4: I1(283) = 0.552502480067349722699335589123 Theorem 4: I1prime(283) = 0.572521795307219359666165330779 Theorem 4: I3(283) = 0.524168490261879035321366283932 Theorem 4: I3prime(283) = 0.544187805501748672288196025588 --------- EK(293) = 3.38438152121953978658468259238 EK(293)plus = 5.12676122531917231941583293241 gammaK2(293) = 5.12676122531917231941583293241 gammaK2(293)plus = 4.62155008641225618469819642994 Theorem 4: I1(293) = 0.553624591013381846296110760614 Theorem 4: I1prime(293) = 0.573077236934673172686315693021 Theorem 4: I2(293) = 0.548888325220528536110821919809 Theorem 4: I2prime(293) = 0.568340971141819862501026852216 --------- EK(307) = 5.99638616034268909194376590052 EK(307)plus = 5.59862053296466830058726819013 gammaK3(307) = -12.4270288767810387037363997537 gammaK3(307)plus = -2.88162287690309548500243232921 Theorem 4: I1(307) = 0.560158246292695433388580800521 Theorem 4: I1prime(307) = 0.578873435010300652844784926558 Theorem 4: I3(307) = 0.511700975571214694398789156540 Theorem 4: I3prime(307) = 0.530416164288819913854993282577 --------- EK(311) = 6.27650703747793703973517690753 EK(311)plus = 7.41749510639980418737418662388 gammaK5(311) = 4.53909974332081067021819910850 gammaK5(311)plus = 5.80669629643542297011605460266 Theorem 4: I1(311) = 0.549547927364988663437018990592 Theorem 4: I1prime(311) = 0.568063388372018450966683492416 Theorem 4: I5(311) = 0.462815530860289875807422177201 Theorem 4: I5prime(311) = 0.481330991867319663337086679025 --------- EK(313) = 7.26045879728676041955456876473 EK(313)plus = 6.92525157029726544509255292382 gammaK2(313) = 6.92525157029726544509255292382 gammaK2(313)plus = 1.09563136777648649747594876141 gammaK3(313) = 6.58364418522989217706856675077 gammaK3(313)plus = 6.27560973370558495595587305433 gammaK4(313) = 1.09563136777648649747594876141 gammaK4(313)plus = -9.72303180733437605169864569455 gammaK6(313) = 6.27560973370558495595587305433 gammaK6(313)plus = 0.992400792527411299684399534365 Theorem 4: I1(313) = 0.556034698038628474716745834996 Theorem 4: I1prime(313) = 0.574452015957026401693280339192 Theorem 4: I2(313) = 0.607443687445288594729359018908 Theorem 4: I2prime(313) = 0.625861005363686521705893523104 Theorem 4: I3(313) = 0.519658043746728286935168687562 Theorem 4: I3prime(313) = 0.538075361665126213911703191759 Theorem 4: I4(313) = 0.840334609318543638476982675292 Theorem 4: I4prime(313) = 0.858751927236941565453517179488 Theorem 4: I6(313) = 0.659377027031001407329791695494 Theorem 4: I6prime(313) = 0.677794344949399334306326199690 --------- EK(317) = 9.21973311597306368381265734418 EK(317)plus = 7.45657478953506852594921199034 gammaK2(317) = 7.45657478953506852594921199034 gammaK2(317)plus = 5.63256703385143139336240174118 Theorem 4: I1(317) = 0.559140852130016352185092225284 Theorem 4: I1prime(317) = 0.577365224832159645268002865060 Theorem 4: I2(317) = 0.552995515212482622923863342413 Theorem 4: I2prime(317) = 0.571219887914625916006773982189 --------- EK(331) = 6.63836085241827368638751870411 EK(331)plus = 5.35100692935859689673237961635 gammaK3(331) = -5.40606614157166406076358009977 gammaK3(331)plus = -1.54278787741171195540373127839 gammaK5(331) = 6.15461372999492362954270462295 gammaK5(331)plus = 2.06246621359262770590192905728 Theorem 4: I1(331) = 0.564848285558520732982671190254 Theorem 4: I1prime(331) = 0.582430462453602741772927604920 Theorem 4: I3(331) = 0.555960459777502659163363235922 Theorem 4: I3prime(331) = 0.573542636672584667953619650587 Theorem 4: I5(331) = 0.607702015294178106196642243018 Theorem 4: I5prime(331) = 0.625284192189260114986898657683 --------- EK(337) = 7.08924792666236280878541846531 EK(337)plus = 6.28849170437311875097501431777 gammaK2(337) = 6.28849170437311875097501431777 gammaK2(337)plus = 6.02119554078940250908330579883 gammaK3(337) = 7.27333617815450990984605843593 gammaK3(337)plus = 6.64170470507464682653617797635 gammaK4(337) = 6.02119554078940250908330579883 gammaK4(337)plus = 5.93492480117976680187706979218 gammaK6(337) = 6.64170470507464682653617797635 gammaK6(337)plus = 5.79904802042119649745935339072 Theorem 4: I1(337) = 0.560831566218580991110446561775 Theorem 4: I1prime(337) = 0.578153241606534448623853902712 Theorem 4: I2(337) = 0.542863158636094528911839443530 Theorem 4: I2prime(337) = 0.560184834024047986425246784466 Theorem 4: I3(337) = 0.523399638942758421314193296710 Theorem 4: I3prime(337) = 0.540721314330711878827600637646 Theorem 4: I4(337) = 0.507382620413936615937652076672 Theorem 4: I4prime(337) = 0.524704295801890073451059417609 Theorem 4: I6(337) = 0.488399361130895367286941801761 Theorem 4: I6prime(337) = 0.505721036518848824800349142697 --------- EK(347) = 5.87597953510894414261028585598 EK(347)plus = 6.61283640945578058199124146295 Theorem 4: I1(347) = 0.555924916789537368369992879091 Theorem 4: I1prime(347) = 0.572830479737360660833442812173 --------- EK(349) = 8.37509552953334550705882970480 EK(349)plus = 8.24813562079854170872181827350 gammaK2(349) = 8.24813562079854170872181827350 gammaK2(349)plus = 7.09077076990583950266871356048 gammaK3(349) = 7.82184899878497377450680611450 gammaK3(349)plus = 5.90989905447712398325566626229 gammaK6(349) = 5.90989905447712398325566626229 gammaK6(349)plus = 5.39943838056178089616829326097 Theorem 4: I1(349) = 0.553830605615956965343125973500 Theorem 4: I1prime(349) = 0.570655524932630606616687702013 Theorem 4: I2(349) = 0.543018935945614406940482374129 Theorem 4: I2prime(349) = 0.559843855262288048214044102642 Theorem 4: I3(349) = 0.542605543957688482733425123370 Theorem 4: I3prime(349) = 0.559430463274362124006986851883 Theorem 4: I6(349) = 0.492632861005617145945227917873 Theorem 4: I6prime(349) = 0.509457780322290787218789646386 --------- EK(353) = 9.24208486310781015216963807179 EK(353)plus = 8.16000094324861580199842748745 gammaK2(353) = 8.16000094324861580199842748745 gammaK2(353)plus = 6.27293771475553656492980210898 gammaK4(353) = 6.27293771475553656492980210898 gammaK4(353)plus = 5.89435839865984701453114330294 Theorem 4: I1(353) = 0.557060599203169533774363200055 Theorem 4: I1prime(353) = 0.573726701637639126863555586751 Theorem 4: I2(353) = 0.552201229738482139464748629189 Theorem 4: I2prime(353) = 0.568867332172951732553941015886 Theorem 4: I4(353) = 0.514346969617457553138083943678 Theorem 4: I4prime(353) = 0.531013072051927146227276330374 --------- EK(359) = 5.35795205461151937427784659817 EK(359)plus = 6.22302886848426277869102802663 Theorem 4: I1(359) = 0.557370582377015082662437661399 Theorem 4: I1prime(359) = 0.573804443797373403536873675046 --------- EK(367) = 6.50829154021100638069696644928 EK(367)plus = 6.09897261982616232041681539317 gammaK3(367) = -1.49463500084205638659581107838 gammaK3(367)plus = 3.13697757020474497833971867569 Theorem 4: I1(367) = 0.561626078650498363805460710679 Theorem 4: I1prime(367) = 0.577760947087805932853601235103 Theorem 4: I3(367) = 0.513406443510640615423533492097 Theorem 4: I3prime(367) = 0.529541311947948184471674016521 --------- EK(373) = 5.81547713750139625528243633445 EK(373)plus = 6.26904712550109879171061166271 gammaK2(373) = 6.26904712550109879171061166271 gammaK2(373)plus = 4.48468177098764283462390168466 gammaK3(373) = 5.21206676323301997922522762309 gammaK3(373)plus = 2.63857270600100597469737401387 gammaK6(373) = 2.63857270600100597469737401387 gammaK6(373)plus = 2.58295701231210406018891407245 Theorem 4: I1(373) = 0.559101322602987205692584435908 Theorem 4: I1prime(373) = 0.575019544161169505534884797750 Theorem 4: I2(373) = 0.562612252869100768255009444553 Theorem 4: I2prime(373) = 0.578530474427283068097309806395 Theorem 4: I3(373) = 0.576562464334378229396739341966 Theorem 4: I3prime(373) = 0.592480685892560529239039703807 Theorem 4: I6(373) = 0.536195349737316982452919275681 Theorem 4: I6prime(373) = 0.552113571295499282295219637523 --------- EK(379) = 8.21054501870404568657915193482 EK(379)plus = 5.90204764176658997608238496772 gammaK3(379) = 6.41970928753951842692640446008 gammaK3(379)plus = 5.27155072443863111125024186552 Theorem 4: I1(379) = 0.567667363228074004620263238981 Theorem 4: I1prime(379) = 0.583375130966387301836710954810 Theorem 4: I3(379) = 0.544365665464421296378015844156 Theorem 4: I3prime(379) = 0.560073433202734593594463559985 --------- EK(383) = 8.52521730943238428686225080530 EK(383)plus = 7.15311137542671341930115747026 Theorem 4: I1(383) = 0.562041381619742209988692556941 Theorem 4: I1prime(383) = 0.577612153842728194255690081907 --------- EK(389) = 9.21592516884200731945397467570 EK(389)plus = 7.88585155545273762343662129112 gammaK2(389) = 7.88585155545273762343662129112 gammaK2(389)plus = 8.21277209886575826959066630285 Theorem 4: I1(389) = 0.560279716468754111522313951545 Theorem 4: I1prime(389) = 0.575649766323440828771923797508 Theorem 4: I2(389) = 0.533117403601875821261180537708 Theorem 4: I2prime(389) = 0.548487453456562538510790383671 --------- EK(397) = 6.56557550080899786659143800057 EK(397)plus = 6.57005219636991887583432496557 gammaK2(397) = 6.57005219636991887583432496557 gammaK2(397)plus = 6.64958861908667722142513699385 gammaK3(397) = 4.54467829924824974949823610049 gammaK3(397)plus = 5.17725577233462676597702756509 gammaK6(397) = 5.17725577233462676597702756509 gammaK6(397)plus = 4.47638518258566250060831876562 Theorem 4: I1(397) = 0.560575160249677821676150013786 Theorem 4: I1prime(397) = 0.575686110453433353022320296690 Theorem 4: I2(397) = 0.543153866962102602533976133996 Theorem 4: I2prime(397) = 0.558264817165858133880146416901 Theorem 4: I3(397) = 0.533087299783163471865587928623 Theorem 4: I3prime(397) = 0.548198249986919003211758211528 Theorem 4: I6(397) = 0.519781944552435076264303298430 Theorem 4: I6prime(397) = 0.534892894756190607610473581334 --------- EK(401) = 6.75761825661838008888433775502 EK(401)plus = 7.86993462453863015586272828917 gammaK2(401) = 7.86993462453863015586272828917 gammaK2(401)plus = 6.00836235376457376105915314087 gammaK4(401) = 6.00836235376457376105915314087 gammaK4(401)plus = 5.05614968478984428948086079128 gammaK5(401) = 4.99319326653217615826232069349 gammaK5(401)plus = -0.301286501325770915814725547074 Theorem 4: I1(401) = 0.554722575161464993991997726280 Theorem 4: I1prime(401) = 0.569707478729731416956624423998 Theorem 4: I2(401) = 0.556406789968738941660411066631 Theorem 4: I2prime(401) = 0.571391693537005364625037764349 Theorem 4: I4(401) = 0.536026445707699048197840138688 Theorem 4: I4prime(401) = 0.551011349275965471162466836407 Theorem 4: I5(401) = 0.646975431971726005193101403706 Theorem 4: I5prime(401) = 0.661960335539992428157728101425 --------- EK(409) = 5.05978183760663704607634532299 EK(409)plus = 6.55149733502985035010141086678 gammaK2(409) = 6.55149733502985035010141086678 gammaK2(409)plus = 6.01936308687650676956803452456 gammaK3(409) = -3.28566606127568775986533669116 gammaK3(409)plus = 0.855952479841416107531507050757 gammaK4(409) = 6.01936308687650676956803452456 gammaK4(409)plus = -0.142551670515701746021556607509 gammaK6(409) = 0.855952479841416107531507050757 gammaK6(409)plus = 1.84983266027507634116219512700 Theorem 4: I1(409) = 0.557465781738825652005076849443 Theorem 4: I1prime(409) = 0.572205279670303107264178619564 Theorem 4: I2(409) = 0.550245231878715994703111306002 Theorem 4: I2prime(409) = 0.564984729810193449962213076122 Theorem 4: I3(409) = 0.540360440497929938325721997709 Theorem 4: I3prime(409) = 0.555099938429407393584823767829 Theorem 4: I4(409) = 0.638879654411105731257022344685 Theorem 4: I4prime(409) = 0.653619152342583186516124114805 Theorem 4: I6(409) = 0.535179601098000301341041722827 Theorem 4: I6prime(409) = 0.549919099029477756600143492947 --------- EK(419) = 5.45092200681821431985936599665 EK(419)plus = 6.40087601794977745214175514709 Theorem 4: I1(419) = 0.559595390508341756339094189563 Theorem 4: I1prime(419) = 0.574040057780882755695632308993 --------- EK(421) = 7.82114299206786013815478569233 EK(421)plus = 6.76864467271231787956016057791 gammaK2(421) = 6.76864467271231787956016057791 gammaK2(421)plus = -4.95960108207776592949007567596 gammaK3(421) = 5.36963524615853410431250399875 gammaK3(421)plus = 4.55062661902372844506180668053 gammaK5(421) = 6.73599143589017118664576285861 gammaK5(421)plus = 3.08592052684834279675111233676 gammaK6(421) = 4.55062661902372844506180668053 gammaK6(421)plus = 0.628027612833656428236397049781 Theorem 4: I1(421) = 0.563571537343462973178943418819 Theorem 4: I1prime(421) = 0.577958758376040071792249886029 Theorem 4: I2(421) = 0.656613091643605587463307354190 Theorem 4: I2prime(421) = 0.671000312676182686076613821401 Theorem 4: I3(421) = 0.550458484809236432860623405586 Theorem 4: I3prime(421) = 0.564845705841813531473929872796 Theorem 4: I5(421) = 0.583760464439162723636633896248 Theorem 4: I5prime(421) = 0.598147685471739822249940363458 Theorem 4: I6(421) = 0.624075438791873410463307891707 Theorem 4: I6prime(421) = 0.638462659824450509076614358918 --------- EK(431) = 4.63484140285585608678912165150 EK(431)plus = 5.41515121877199104024847175189 gammaK5(431) = 5.77775669600629629297320486369 gammaK5(431)plus = 5.25267462185336793623622532580 Theorem 4: I1(431) = 0.562774808476405776100930094067 Theorem 4: I1prime(431) = 0.576882036592926119793366528500 Theorem 4: I5(431) = 0.522079620996684489406608808427 Theorem 4: I5prime(431) = 0.536186849113204833099045242861 --------- EK(433) = 6.17698712498636928129961898675 EK(433)plus = 6.68856657666544823143984101412 gammaK2(433) = 6.68856657666544823143984101412 gammaK2(433)plus = 3.65434868943079148637011126099 gammaK3(433) = 5.54150668170982483813769712965 gammaK3(433)plus = 3.93990413713630759692279001987 gammaK4(433) = 3.65434868943079148637011126099 gammaK4(433)plus = 1.29263326867865002336467925767 gammaK6(433) = 3.93990413713630759692279001987 gammaK6(433)plus = 3.81411753440424420134466287858 Theorem 4: I1(433) = 0.560516130961777854646457072944 Theorem 4: I1prime(433) = 0.574568764591413247810161435383 Theorem 4: I2(433) = 0.574279630476413554428437618461 Theorem 4: I2prime(433) = 0.588332264106048947592141980900 Theorem 4: I3(433) = 0.560879871664085459572681622912 Theorem 4: I3prime(433) = 0.574932505293720852736385985352 Theorem 4: I4(433) = 0.586984456738975972147966241779 Theorem 4: I4prime(433) = 0.601037090368611365311670604219 Theorem 4: I6(433) = 0.525793670939007635621369866475 Theorem 4: I6prime(433) = 0.539846304568643028785074228915 --------- EK(439) = 8.63093678952519978214648635867 EK(439)plus = 5.90582783977373442271418521229 gammaK3(439) = 6.94372736874934547229526891494 gammaK3(439)plus = 6.21989541403509332541893738037 Theorem 4: I1(439) = 0.569922033757255067081213105319 Theorem 4: I1prime(439) = 0.583813584928659567880284365889 Theorem 4: I3(439) = 0.539476247021448986090473205792 Theorem 4: I3prime(439) = 0.553367798192853486889544466362 --------- EK(443) = 3.14134731220664100006772655396 EK(443)plus = 5.74613291171909144845123958994 Theorem 4: I1(443) = 0.558290993254072803205767599450 Theorem 4: I1prime(443) = 0.572077350199876277500079833065 --------- EK(449) = 7.99398522695095112700560264684 EK(449)plus = 7.13966857613624604729490562295 gammaK2(449) = 7.13966857613624604729490562295 gammaK2(449)plus = 0.474514715858559693885690962350 gammaK4(449) = 0.474514715858559693885690962350 gammaK4(449)plus = 2.25359426133339626633911765004 Theorem 4: I1(449) = 0.563155433488946202603826647968 Theorem 4: I1prime(449) = 0.576787181006228020222696116251 Theorem 4: I2(449) = 0.604791590780558953650729296466 Theorem 4: I2prime(449) = 0.618423338297840771269598764749 Theorem 4: I4(449) = 0.541087936737912194031410181100 Theorem 4: I4prime(449) = 0.554719684255194011650279649383 --------- EK(457) = 9.51810536195828015865561149229 EK(457)plus = 8.01528422656048037571695351326 gammaK2(457) = 8.01528422656048037571695351326 gammaK2(457)plus = 2.47647996862804796406524957253 gammaK3(457) = 7.70866913947788503208388868689 gammaK3(457)plus = 7.48391146678822327456845672535 gammaK4(457) = 2.47647996862804796406524957253 gammaK4(457)plus = 4.35739315419557206874328236255 gammaK6(457) = 7.48391146678822327456845672535 gammaK6(457)plus = 3.34738999235293863881597485283 Theorem 4: I1(457) = 0.562904492940154953197472309116 Theorem 4: I1prime(457) = 0.576335816165800138941316895478 Theorem 4: I2(457) = 0.590588002472053646842663887371 Theorem 4: I2prime(457) = 0.604019325697698832586508473733 Theorem 4: I3(457) = 0.529369710182294658614427423305 Theorem 4: I3prime(457) = 0.542801033407939844358272009667 Theorem 4: I4(457) = 0.522375860840228111841905425706 Theorem 4: I4prime(457) = 0.535807184065873297585750012068 Theorem 4: I6(457) = 0.587422245939121029174836595784 Theorem 4: I6prime(457) = 0.600853569164766214918681182146 --------- EK(461) = 6.97682195293424723970069358130 EK(461)plus = 7.21369654842857431845127257954 gammaK2(461) = 7.21369654842857431845127257954 gammaK2(461)plus = 6.03753307683550939636097839521 gammaK5(461) = 6.64516504046957008413463724346 gammaK5(461)plus = 4.96756948650716760350899214965 Theorem 4: I1(461) = 0.560989785297338478322810651278 Theorem 4: I1prime(461) = 0.574323259303852931623620923437 Theorem 4: I2(461) = 0.556021303687406952225766461895 Theorem 4: I2prime(461) = 0.569354777693921405526576734055 Theorem 4: I5(461) = 0.541310149612931995647988640865 Theorem 4: I5prime(461) = 0.554643623619446448948798913024 --------- EK(463) = 8.05975584017706401060450062207 EK(463)plus = 7.83675334723918234260468508851 gammaK3(463) = 5.06903346284220776755683036425 gammaK3(463)plus = 6.41663589305905620829402494743 Theorem 4: I1(463) = 0.560706929018859713805751564691 Theorem 4: I1prime(463) = 0.573992052512552861152244740408 Theorem 4: I3(463) = 0.526712265896535472318345124457 Theorem 4: I3prime(463) = 0.539997389390228619664838300174 --------- EK(467) = 6.85059698627155588804538878646 EK(467)plus = 6.10341205814215231591065858015 Theorem 4: I1(467) = 0.565693311515747481377243213544 Theorem 4: I1prime(467) = 0.578882859278985458440611306439 --------- EK(479) = 6.52373941301520830304159619038 EK(479)plus = 7.41976491165423642580108161810 Theorem 4: I1(479) = 0.559791602311952884024138410850 Theorem 4: I1prime(479) = 0.572703109837917141838190038112 --------- EK(487) = 6.60934762199314051313707751533 EK(487)plus = 7.47826350800936952150882810045 gammaK3(487) = 4.79473845935246574102354128060 gammaK3(487)plus = 3.94172882470859381261036581911 Theorem 4: I1(487) = 0.560014198959605294198475158246 Theorem 4: I1prime(487) = 0.572747252710804038623845345142 Theorem 4: I3(487) = 0.558070897964397548084150605240 Theorem 4: I3prime(487) = 0.570803951715596292509520792135 --------- EK(491) = 4.80811247808254937790893291365 EK(491)plus = 6.43718610985543834883220875715 gammaK5(491) = 2.30634532590190294316299742436 gammaK5(491)plus = 3.80751852254088974475956576426 Theorem 4: I1(491) = 0.560728102562817013429257106140 Theorem 4: I1prime(491) = 0.573373906905254810528714637415 Theorem 4: I5(491) = 0.522916302416611285673291767272 Theorem 4: I5prime(491) = 0.535562106759049082772749298547 --------- EK(499) = 7.46498369900257363121273885164 EK(499)plus = 6.10280337342258525578325390511 gammaK3(499) = -0.0714058138231856604466009307131 gammaK3(499)plus = 2.33527373068751508477776469815 Theorem 4: I1(499) = 0.567671291085298587106562645588 Theorem 4: I1prime(499) = 0.580146403727369909727617045463 Theorem 4: I3(499) = 0.548574530035025106675047121848 Theorem 4: I3prime(499) = 0.561049642677096429296101521724 --------- EK(503) = 5.64600523604134724261716487430 EK(503)plus = 6.61184406168288404724382314296 Theorem 4: I1(503) = 0.562095994580399231748059841587 Theorem 4: I1prime(503) = 0.574487608465060066820607174487 --------- EK(509) = 3.64276013684404915705192260484 EK(509)plus = 6.11561077835619422717942410574 gammaK2(509) = 6.11561077835619422717942410574 gammaK2(509)plus = 6.01406329253017773681339991058 Theorem 4: I1(509) = 0.560285093999316096990607690119 Theorem 4: I1prime(509) = 0.572553692457092716563117264639 Theorem 4: I2(509) = 0.553889742046564601291473171618 Theorem 4: I2prime(509) = 0.566158340504341220863982746138 --------- EK(521) = 9.88277517933209774388626316637 EK(521)plus = 7.33203693229383329365037399993 gammaK2(521) = 7.33203693229383329365037399993 gammaK2(521)plus = 6.57888647672057745989513799237 gammaK4(521) = 6.57888647672057745989513799237 gammaK4(521)plus = 0.563988777093684633373389943696 gammaK5(521) = 1.00847397988755801799164033471 gammaK5(521)plus = -13.9168407164374815934618319055 Theorem 4: I1(521) = 0.567997724567307087065485385167 Theorem 4: I1prime(521) = 0.580028013109140484984887107680 Theorem 4: I2(521) = 0.554762717556574572052437845054 Theorem 4: I2prime(521) = 0.566793006098407969971839567567 Theorem 4: I4(521) = 0.619053192855312666723657908409 Theorem 4: I4prime(521) = 0.631083481397146064643059630922 Theorem 4: I5(521) = 0.854428406480577935673780382613 Theorem 4: I5prime(521) = 0.866458695022411333593182105125 --------- EK(523) = 6.89431635812071192021883630764 EK(523)plus = 6.96324309177835132364082795679 gammaK3(523) = 7.38734581105574207550274222196 gammaK3(523)plus = 0.158088093952886935378725453136 Theorem 4: I1(523) = 0.563721102907648257905334765992 Theorem 4: I1prime(523) = 0.575712638279420140857078335296 Theorem 4: I3(523) = 0.617785653911752379697279605866 Theorem 4: I3prime(523) = 0.629777189283524262649023175171 --------- EK(541) = 7.72042301403637929908280453721 EK(541)plus = 7.36452999603804773445069334493 gammaK2(541) = 7.36452999603804773445069334493 gammaK2(541)plus = 5.64277297994459985066289891647 gammaK3(541) = 6.33586289762405440207451084585 gammaK3(541)plus = 5.77517381695499898085291552496 gammaK5(541) = 5.97522639788662361288845173079 gammaK5(541)plus = 4.31722305599339849990045682474 gammaK6(541) = 5.77517381695499898085291552496 gammaK6(541)plus = 5.36707163391769958374292389510 Theorem 4: I1(541) = 0.564215125164151882509037451715 Theorem 4: I1prime(541) = 0.575869605310163885326760017664 Theorem 4: I2(541) = 0.562650218812654475533575693586 Theorem 4: I2prime(541) = 0.574304698958666478351298259536 Theorem 4: I3(541) = 0.548181558143577551926239630249 Theorem 4: I3prime(541) = 0.559836038289589554743962196198 Theorem 4: I5(541) = 0.552485348288142255146047418928 Theorem 4: I5prime(541) = 0.564139828434154257963769984878 Theorem 4: I6(541) = 0.521986510112350502945949258625 Theorem 4: I6prime(541) = 0.533640990258362505763671824574 --------- EK(547) = 8.49495928824527337705717942430 EK(547)plus = 6.20801854970698250318745943893 gammaK3(547) = 6.38691418394002171839779048460 gammaK3(547)plus = -2.10996864484923062062088211516 Theorem 4: I1(547) = 0.570013056072417591346180143879 Theorem 4: I1prime(547) = 0.581559665600662978169683317179 Theorem 4: I3(547) = 0.635431625693347352764842043608 Theorem 4: I3prime(547) = 0.646978235221592739588345216907 --------- EK(557) = 7.59133367582374638086997382398 EK(557)plus = 7.57553673008397507736484894811 gammaK2(557) = 7.57553673008397507736484894811 gammaK2(557)plus = 4.65478480218395267842377150117 Theorem 4: I1(557) = 0.563598558238655342031231572734 Theorem 4: I1prime(557) = 0.574970078454351896027475146361 Theorem 4: I2(557) = 0.570937231827793195737882818040 Theorem 4: I2prime(557) = 0.582308752043489749734126391667 --------- EK(563) = 7.53923379360432161746955534535 EK(563)plus = 7.01951852133796976672044111232 Theorem 4: I1(563) = 0.565630126770030001729478217211 Theorem 4: I1prime(563) = 0.576899307603018774651187891568 --------- EK(569) = 8.52201986867937683717574897427 EK(569)plus = 7.31926682101895511569503555767 gammaK2(569) = 7.31926682101895511569503555767 gammaK2(569)plus = 7.28602081459323426534362258574 gammaK4(569) = 7.28602081459323426534362258574 gammaK4(569)plus = 5.17885807635962241451468890918 Theorem 4: I1(569) = 0.566427491350582611093658994340 Theorem 4: I1prime(569) = 0.577596294931790940179895235201 Theorem 4: I2(569) = 0.551638398662981023479475308904 Theorem 4: I2prime(569) = 0.562807202244189352565711549766 Theorem 4: I4(569) = 0.555505354044439769812343136044 Theorem 4: I4prime(569) = 0.566674157625648098898579376905 --------- EK(571) = 8.03628580740207466557428414279 EK(571)plus = 8.07921043631806468495159449315 gammaK3(571) = -3.05340220355492712038621438537 gammaK3(571)plus = 1.65584243243784076906629760904 gammaK5(571) = 2.73881675237854196695585773105 gammaK5(571)plus = 4.48778526101213673952609523042 Theorem 4: I1(571) = 0.562946768698414771373873722194 Theorem 4: I1prime(571) = 0.574082539241670929648838575169 Theorem 4: I3(571) = 0.543656597327986203676018540312 Theorem 4: I3prime(571) = 0.554792367871242361950983393287 Theorem 4: I5(571) = 0.522409616303383845954132286725 Theorem 4: I5prime(571) = 0.533545386846640004229097139700 --------- EK(577) = 6.01594020469873638402529077077 EK(577)plus = 5.56220304736119192361867829940 gammaK2(577) = 5.56220304736119192361867829940 gammaK2(577)plus = 4.32791448627264959536745489847 gammaK3(577) = 5.40675282832866861032901495431 gammaK3(577)plus = 5.50775543889906315244951036134 gammaK4(577) = 4.32791448627264959536745489847 gammaK4(577)plus = 5.48811460976080292740852434993 gammaK6(577) = 5.50775543889906315244951036134 gammaK6(577)plus = 4.72944447163561148362387763771 Theorem 4: I1(577) = 0.568327637452530735563194832378 Theorem 4: I1prime(577) = 0.579365558054107297301869442286 Theorem 4: I2(577) = 0.566435582103665902867432554987 Theorem 4: I2prime(577) = 0.577473502705242464606107164896 Theorem 4: I3(577) = 0.547945894224079557188237713112 Theorem 4: I3prime(577) = 0.558983814825656118926912323021 Theorem 4: I4(577) = 0.530970160360904160459371337226 Theorem 4: I4prime(577) = 0.542008080962480722198045947135 Theorem 4: I6(577) = 0.535943045891389773350919178374 Theorem 4: I6prime(577) = 0.546980966492966335089593788283 --------- EK(587) = 9.22757383324646393809861943028 EK(587)plus = 7.47232999015791542856470273162 Theorem 4: I1(587) = 0.567440980551678822961925837139 Theorem 4: I1prime(587) = 0.578319862496777963658684029114 --------- EK(593) = 4.78653716440861185986443794691 EK(593)plus = 5.08970189786237053262886878834 gammaK2(593) = 5.08970189786237053262886878834 gammaK2(593)plus = 5.58843165982999640478222391480 gammaK4(593) = 5.58843165982999640478222391480 gammaK4(593)plus = 1.40678061742752150943068287009 Theorem 4: I1(593) = 0.568087873630137949246014635278 Theorem 4: I1prime(593) = 0.578873674979796269267208249710 Theorem 4: I2(593) = 0.556614491850359615346522993273 Theorem 4: I2prime(593) = 0.567400293200017935367716607704 Theorem 4: I4(593) = 0.595891912358460529970699012786 Theorem 4: I4prime(593) = 0.606677713708118849991892627218 --------- EK(599) = 7.47947270066397907432743110813 EK(599)plus = 7.20706942037669968102982461284 Theorem 4: I1(599) = 0.565601349588025213093026008737 Theorem 4: I1prime(599) = 0.576295766976178138425484535782 --------- EK(601) = 5.92057019517572298068954595954 EK(601)plus = 5.74486080321002274366618580075 gammaK2(601) = 5.74486080321002274366618580075 gammaK2(601)plus = 4.09143322091118204264217590203 gammaK3(601) = 5.98049104611870130615303541723 gammaK3(601)plus = -1.00250075349370649321242011901 gammaK4(601) = 4.09143322091118204264217590203 gammaK4(601)plus = -1.75252447290046601079143639748 gammaK5(601) = 3.59015573786868980604803843162 gammaK5(601)plus = 3.98355614293577981903672814735 gammaK6(601) = -1.00250075349370649321242011901 gammaK6(601)plus = -13.6295565354966241622179954012 Theorem 4: I1(601) = 0.567915972007974169741053844344 Theorem 4: I1prime(601) = 0.578580296898866182373175645189 Theorem 4: I2(601) = 0.569053431689855416092344464069 Theorem 4: I2prime(601) = 0.579717756580747428724466264913 Theorem 4: I3(601) = 0.617089806042608972006240859354 Theorem 4: I3prime(601) = 0.627754130933500984638362660199 Theorem 4: I4(601) = 0.627787783847007674283798269390 Theorem 4: I4prime(601) = 0.638452108737899686915920070234 Theorem 4: I5(601) = 0.540652157627418178567699259550 Theorem 4: I5prime(601) = 0.551316482518310191199821060394 Theorem 4: I6(601) = 0.839675144827619358792426578907 Theorem 4: I6prime(601) = 0.850339469718511371424548379751 --------- EK(607) = 7.62475613884537429463082625766 EK(607)plus = 6.44845413453951203317980961293 gammaK3(607) = 8.08065966782766549590002488231 gammaK3(607)plus = 3.49779462372168517750233373365 Theorem 4: I1(607) = 0.568498293184945567258556556009 Theorem 4: I1prime(607) = 0.579073423203195564390817236265 Theorem 4: I3(607) = 0.582534948517206351417220489759 Theorem 4: I3prime(607) = 0.593110078535456348549481170015 --------- EK(613) = 8.32707031189096333236911775310 EK(613)plus = 7.20690558424313623867572706106 gammaK2(613) = 7.20690558424313623867572706106 gammaK2(613)plus = 7.21305285935463359331555432730 gammaK3(613) = 4.36563347595566140261206192325 gammaK3(613)plus = 5.72535068681274624202465686493 gammaK6(613) = 5.72535068681274624202465686493 gammaK6(613)plus = 6.09749886333372598743811981604 Theorem 4: I1(613) = 0.567252873429309929767602296866 Theorem 4: I1prime(613) = 0.577740397834434458198059376267 Theorem 4: I2(613) = 0.553589234643783659703290395073 Theorem 4: I2prime(613) = 0.564076759048908188133747474474 Theorem 4: I3(613) = 0.542433530479596803695395870053 Theorem 4: I3prime(613) = 0.552921054884721332125852949454 Theorem 4: I6(613) = 0.513684933879377661966492091587 Theorem 4: I6prime(613) = 0.524172458284502190396949170988 --------- EK(617) = 8.60959646959650166904042976915 EK(617)plus = 7.26701488527261827584369586189 gammaK2(617) = 7.26701488527261827584369586189 gammaK2(617)plus = 5.81613417820078652424284324377 gammaK4(617) = 5.81613417820078652424284324377 gammaK4(617)plus = 3.66913164350483680675143281172 Theorem 4: I1(617) = 0.567581146584762731591489199060 Theorem 4: I1prime(617) = 0.578011128766427322198628114123 Theorem 4: I2(617) = 0.563008900442732148388170760405 Theorem 4: I2prime(617) = 0.573438882624396738995309675467 Theorem 4: I4(617) = 0.567263982492503304243738315441 Theorem 4: I4prime(617) = 0.577693964674167894850877230504 --------- EK(619) = 7.53829866620503113708657087793 EK(619)plus = 5.86937430562590333063295689351 gammaK3(619) = 7.56206051403571520704075337861 gammaK3(619)plus = 5.06367053173863782465374197013 Theorem 4: I1(619) = 0.570401989481000001006054768853 Theorem 4: I1prime(619) = 0.580803454323531709909336379517 Theorem 4: I3(619) = 0.564712354152580956960055720314 Theorem 4: I3prime(619) = 0.575113818995112665863337330978 --------- EK(631) = 7.18245391830254762655109278367 EK(631)plus = 8.40819028439527567858834794264 gammaK3(631) = -13.3618154363979654556238372568 gammaK3(631)plus = -2.39220116514429684949340882196 gammaK5(631) = 7.41634133502331322492334090775 gammaK5(631)plus = 6.09095407239332745557034419546 Theorem 4: I1(631) = 0.561907473680394076118098361959 Theorem 4: I1prime(631) = 0.572141292509824573193143977886 Theorem 4: I3(631) = 0.536322108116109992731692731850 Theorem 4: I3prime(631) = 0.546555926945540489806738347776 Theorem 4: I5(631) = 0.539312485309526732167683573423 Theorem 4: I5prime(631) = 0.549546304138957229242729189349 --------- EK(641) = 4.08853918171447303303508097636 EK(641)plus = 6.19509354395009885537686090164 gammaK2(641) = 6.19509354395009885537686090164 gammaK2(641)plus = 4.69652818299953673915462979716 gammaK4(641) = 4.69652818299953673915462979716 gammaK4(641)plus = 5.23707846538081264097839049530 gammaK5(641) = 7.26459511435045640379736009344 gammaK5(641)plus = 1.68502554763460267194817560469 Theorem 4: I1(641) = 0.564228561167607605567987276763 Theorem 4: I1prime(641) = 0.574327044694046152505226974478 Theorem 4: I2(641) = 0.567190473321609694450669470112 Theorem 4: I2prime(641) = 0.577288956848048241387909167828 Theorem 4: I4(641) = 0.541042369705979566295640897013 Theorem 4: I4prime(641) = 0.551140853232418113232880594728 Theorem 4: I5(641) = 0.607562895648054833364041536851 Theorem 4: I5prime(641) = 0.617661379174493380301281234566 --------- EK(643) = 8.57503229908101211795585585731 EK(643)plus = 8.70362279397829620684361484008 gammaK3(643) = 7.10401061477621849979670853195 gammaK3(643)plus = 5.93149962732958396091832673324 Theorem 4: I1(643) = 0.563442635048895657528982741176 Theorem 4: I1prime(643) = 0.573514511566399737571450916415 Theorem 4: I3(643) = 0.554930335385642890970612963401 Theorem 4: I3prime(643) = 0.565002211903146971013081138640 --------- EK(647) = 8.64690376884494148648361896843 EK(647)plus = 7.75575620701527807982201425431 Theorem 4: I1(647) = 0.566573826268256379524007993350 Theorem 4: I1prime(647) = 0.576592938179248485661244942600 --------- EK(653) = 4.10150594423617118786618574278 EK(653)plus = 5.87450091079712310599945131483 gammaK2(653) = 5.87450091079712310599945131483 gammaK2(653)plus = 1.16320797885339082778011755629 Theorem 4: I1(653) = 0.565471129707399798234019842629 Theorem 4: I1prime(653) = 0.575412198924081440966248295192 Theorem 4: I2(653) = 0.588068866999304823206840273364 Theorem 4: I2prime(653) = 0.598009936215986465939068725927 --------- EK(659) = 4.23385702032125789585943006671 EK(659)plus = 6.72391897632417965530139361219 Theorem 4: I1(659) = 0.563197662996049413395842535839 Theorem 4: I1prime(659) = 0.573061984477056263273052070566 --------- EK(661) = 7.44894257119077951919254265013 EK(661)plus = 6.14950916553136996107558411046 gammaK2(661) = 6.14950916553136996107558411046 gammaK2(661)plus = 5.91643311189795512185175193070 gammaK3(661) = 7.39543020949033670587720317442 gammaK3(661)plus = 6.43483903970782989695489349618 gammaK5(661) = 3.88620583218387296676679455178 gammaK5(661)plus = 5.20973879484202759878948470580 gammaK6(661) = 6.43483903970782989695489349618 gammaK6(661)plus = 6.15724834208576382258908981492 Theorem 4: I1(661) = 0.569852157657833720220289561234 Theorem 4: I1prime(661) = 0.579691178627305972168533030308 Theorem 4: I2(661) = 0.559963555570520701410826746991 Theorem 4: I2prime(661) = 0.569802576539992953359070216065 Theorem 4: I3(661) = 0.552287997215647427242962875141 Theorem 4: I3prime(661) = 0.562127018185119679191206344215 Theorem 4: I5(661) = 0.527646643852520326646205890621 Theorem 4: I5prime(661) = 0.537485664821992578594449359694 Theorem 4: I6(661) = 0.523674786124867678786770911876 Theorem 4: I6prime(661) = 0.533513807094339930735014380949 --------- EK(673) = 8.05790935790908438475253811184 EK(673)plus = 8.18414062484299355120301308329 gammaK2(673) = 8.18414062484299355120301308329 gammaK2(673)plus = 7.99677248003539550813377490993 gammaK3(673) = 6.32659952526496023862008256499 gammaK3(673)plus = 5.25874022148408232229852791186 gammaK4(673) = 7.99677248003539550813377490993 gammaK4(673)plus = 4.92532244155901101902219565902 gammaK6(673) = 5.25874022148408232229852791186 gammaK6(673)plus = 3.25350557589847035439132686848 Theorem 4: I1(673) = 0.564834620275054235690510365300 Theorem 4: I1prime(673) = 0.574524717491787461590181364057 Theorem 4: I2(673) = 0.553944550519257471645309090870 Theorem 4: I2prime(673) = 0.563634647735990697544980089627 Theorem 4: I3(673) = 0.558463115727783139035634213933 Theorem 4: I3prime(673) = 0.568153212944516364935305212689 Theorem 4: I4(673) = 0.566123030971179528726688950756 Theorem 4: I4prime(673) = 0.575813128187912754626359949512 Theorem 4: I6(673) = 0.565983870012875792638799618441 Theorem 4: I6prime(673) = 0.575673967229609018538470617197 --------- EK(677) = 7.73252380329930577478030958411 EK(677)plus = 7.11432376198421132597297621917 gammaK2(677) = 7.11432376198421132597297621917 gammaK2(677)plus = 7.13796638605644962536078710412 Theorem 4: I1(677) = 0.567591751815407472656253837436 Theorem 4: I1prime(677) = 0.577233277367052849865189772251 Theorem 4: I2(677) = 0.555998947340348442553383291491 Theorem 4: I2prime(677) = 0.565640472891993819762319226307 --------- EK(683) = 5.51788489311400490461484757638 EK(683)plus = 6.29799831507992339856907958987 Theorem 4: I1(683) = 0.566823170212966295645847232198 Theorem 4: I1prime(683) = 0.576392810769521706295968706023 --------- EK(691) = 7.58846255857382256496651077489 EK(691)plus = 5.68663974257613929379075691773 gammaK3(691) = 8.23988289850116793399414160351 gammaK3(691)plus = 6.27044150272737219287818563389 gammaK5(691) = -5.85504328422216190635805855754 gammaK5(691)plus = 0.360371258166958724792439701509 Theorem 4: I1(691) = 0.571716690276111935747236812053 Theorem 4: I1prime(691) = 0.581192255238094066032175591864 Theorem 4: I3(691) = 0.558474466327986953728046140326 Theorem 4: I3prime(691) = 0.567950031289969084012984920137 Theorem 4: I5(691) = 0.529496379644155603459933273123 Theorem 4: I5prime(691) = 0.538971944606137733744872052935 --------- EK(701) = 8.46224915909495493827213034936 EK(701)plus = 7.89094377898929919640918720754 gammaK2(701) = 7.89094377898929919640918720754 gammaK2(701)plus = 7.64254773073612157364652480108 gammaK5(701) = 0.0209792518831906637438290042300 gammaK5(701)plus = 3.20703155596278122549419433144 Theorem 4: I1(701) = 0.566745666152337789161057250910 Theorem 4: I1prime(701) = 0.576106391705244346433200605802 Theorem 4: I2(701) = 0.556062772307144716297494930798 Theorem 4: I2prime(701) = 0.565423497860051273569638285690 Theorem 4: I5(701) = 0.531483917861566586717107068557 Theorem 4: I5prime(701) = 0.540844643414473143989250423449 --------- EK(709) = 7.32388719840918244718454144419 EK(709)plus = 7.75000884675430199465694945882 gammaK2(709) = 7.75000884675430199465694945882 gammaK2(709)plus = 5.89354585708298111916506906406 gammaK3(709) = 2.58629869936675614751922891937 gammaK3(709)plus = 4.13970089869630554090155241923 gammaK6(709) = 4.13970089869630554090155241923 gammaK6(709)plus = 4.60355738667649524146393063072 Theorem 4: I1(709) = 0.565654363379666294127916479210 Theorem 4: I1prime(709) = 0.574925345761773818844251503302 Theorem 4: I2(709) = 0.565785286794770804763603831062 Theorem 4: I2prime(709) = 0.575056269176878329479938855153 Theorem 4: I3(709) = 0.553053062865905901034477297950 Theorem 4: I3prime(709) = 0.562324045248013425750812322042 Theorem 4: I6(709) = 0.534192911875780382074794769182 Theorem 4: I6prime(709) = 0.543463894257887906791129793273 --------- EK(719) = 4.46060153616772986694242385880 EK(719)plus = 5.65771196449530851079267558150 Theorem 4: I1(719) = 0.567655798941064378006822942166 Theorem 4: I1prime(719) = 0.576817165734547729940703841974 --------- EK(727) = 5.91725177320926527762418279803 EK(727)plus = 6.22466348875366672481004806997 gammaK3(727) = 2.88373866109482829667822644089 gammaK3(727)plus = 4.17294149986022973495772566708 Theorem 4: I1(727) = 0.568205815231280504186878212730 Theorem 4: I1prime(727) = 0.577281471536423092845159828390 Theorem 4: I3(727) = 0.554607317815042059937522393764 Theorem 4: I3prime(727) = 0.563682974120184648595804009424 --------- EK(733) = 8.52382293081479055958360734550 EK(733)plus = 8.41402990510184857107043496638 gammaK2(733) = 8.41402990510184857107043496638 gammaK2(733)plus = 3.97789452663950171254880111178 gammaK3(733) = 3.82607347587051962976310972391 gammaK3(733)plus = 6.06946384544023647615363252568 gammaK6(733) = 6.06946384544023647615363252568 gammaK6(733)plus = 2.85390014776908980039624302009 Theorem 4: I1(733) = 0.565858766850279900175616524817 Theorem 4: I1prime(733) = 0.574871260978540353033907711564 Theorem 4: I2(733) = 0.578443064785944294194256739143 Theorem 4: I2prime(733) = 0.587455558914204747052547925890 Theorem 4: I3(733) = 0.543109653798507394313879112565 Theorem 4: I3prime(733) = 0.552122147926767847172170299312 Theorem 4: I6(733) = 0.580106247325908241118830576138 Theorem 4: I6prime(733) = 0.589118741454168693977121762885 --------- EK(739) = 6.87719994208832378827589108414 EK(739)plus = 7.64151883421074046520553373712 gammaK3(739) = 7.57799180310715733480045018126 gammaK3(739)plus = 6.30660444017075800717063492479 Theorem 4: I1(739) = 0.565813513147442448938211370099 Theorem 4: I1prime(739) = 0.574763781333009118008966327924 Theorem 4: I3(739) = 0.556710919594947798213782111927 Theorem 4: I3prime(739) = 0.565661187780514467284537069753 --------- EK(743) = 5.92270978919515211649453485666 EK(743)plus = 5.97125688315256027476443429313 Theorem 4: I1(743) = 0.569090714401572248694951700652 Theorem 4: I1prime(743) = 0.578000008262377854038426928199 --------- EK(751) = 7.57849026870696013159974211080 EK(751)plus = 7.78326114610017657204963723782 gammaK3(751) = 5.44868010095685828462707269329 gammaK3(751)plus = -0.314628239827539533338225099758 gammaK5(751) = 5.06071519481117208159059196457 gammaK5(751)plus = 5.23776499791718539233483243479 Theorem 4: I1(751) = 0.566553184149049644794745148239 Theorem 4: I1prime(751) = 0.575381725018068491120419166109 Theorem 4: I3(751) = 0.601492097060504534626423485582 Theorem 4: I3prime(751) = 0.610320637929523380952097503453 Theorem 4: I5(751) = 0.541058042622251410277147110597 Theorem 4: I5prime(751) = 0.549886583491270256602821128467 --------- EK(757) = 8.67256251131842175845357079699 EK(757)plus = 8.32768770286436794020584795142 gammaK2(757) = 8.32768770286436794020584795142 gammaK2(757)plus = 6.62762772232579276612334080741 gammaK3(757) = -2.81250359080840935221929918552 gammaK3(757)plus = 1.81166460992090103547738641961 gammaK6(757) = 1.81166460992090103547738641961 gammaK6(757)plus = 4.45160985457815416873213425397 Theorem 4: I1(757) = 0.566644789381132334786657129230 Theorem 4: I1prime(757) = 0.575413788393615732638882427870 Theorem 4: I2(757) = 0.564156572994655344760234156320 Theorem 4: I2prime(757) = 0.572925572007138742612459454960 Theorem 4: I3(757) = 0.551641848196522166872280751498 Theorem 4: I3prime(757) = 0.560410847209005564724506050138 Theorem 4: I6(757) = 0.520863886344009918544296952090 Theorem 4: I6prime(757) = 0.529632885356493316396522250731 --------- EK(761) = 2.87319021483429535378410006884 EK(761)plus = 5.82062014024046295876239569540 gammaK2(761) = 5.82062014024046295876239569540 gammaK2(761)plus = 5.73872416133611354287989877609 gammaK4(761) = 5.73872416133611354287989877609 gammaK4(761)plus = 5.38170851615455842929051583440 gammaK5(761) = -3.47856141966912962046297774237 gammaK5(761)plus = 0.911229030599695024265385676040 Theorem 4: I1(761) = 0.565667270366821467056859595651 Theorem 4: I1prime(761) = 0.574397051100850001052064041372 Theorem 4: I2(761) = 0.562306301840570248340742073497 Theorem 4: I2prime(761) = 0.571036082574598782335946519218 Theorem 4: I4(761) = 0.550723966734653745608110314617 Theorem 4: I4prime(761) = 0.559453747468682279603314760338 Theorem 4: I5(761) = 0.542283103969937148744742658897 Theorem 4: I5prime(761) = 0.551012884703965682739947104618 --------- EK(769) = 8.76583354344829312117406592799 EK(769)plus = 7.70738541217290464524239766347 gammaK2(769) = 7.70738541217290464524239766347 gammaK2(769)plus = 7.20350457272697759203314355162 gammaK3(769) = 5.87068452713894828452872292254 gammaK3(769)plus = 3.85002216397972674376764892403 gammaK4(769) = 7.20350457272697759203314355162 gammaK4(769)plus = 2.88264464181094188169744925364 gammaK6(769) = 3.85002216397972674376764892403 gammaK6(769)plus = -5.06574886983506012417671666374 Theorem 4: I1(769) = 0.568546928256874796400909787471 Theorem 4: I1prime(769) = 0.577199390456751936992748793781 Theorem 4: I2(769) = 0.559746195642467944774700297254 Theorem 4: I2prime(769) = 0.568398657842345085366539303564 Theorem 4: I3(769) = 0.570035929499109492076830785661 Theorem 4: I3prime(769) = 0.578688391698986632668669791971 Theorem 4: I4(769) = 0.584661304624997530856753788197 Theorem 4: I4prime(769) = 0.593313766824874671448592794507 Theorem 4: I6(769) = 0.686378691787860750071584302935 Theorem 4: I6prime(769) = 0.695031153987737890663423309245 --------- EK(773) = 7.29739075656807870433052321919 EK(773)plus = 7.94002421858288405349142914672 gammaK2(773) = 7.94002421858288405349142914672 gammaK2(773)plus = 3.74095763847685930056255365750 Theorem 4: I1(773) = 0.566087074186899575751869651982 Theorem 4: I1prime(773) = 0.574701425286106080883496791311 Theorem 4: I2(773) = 0.578380158659382495184840314674 Theorem 4: I2prime(773) = 0.586994509758589000316467454003 --------- EK(787) = 8.09447433429277995950779719912 EK(787)plus = 7.81056994746827496914729848701 gammaK3(787) = 3.38177826739846387626191924644 gammaK3(787)plus = 5.52046123383380900024100080912 Theorem 4: I1(787) = 0.567628960942759381000697935895 Theorem 4: I1prime(787) = 0.576112711894944372383823352496 Theorem 4: I3(787) = 0.547949909362520115890469312264 Theorem 4: I3prime(787) = 0.556433660314705107273594728865 --------- EK(797) = 7.10588406085628205301334484450 EK(797)plus = 7.49884966482488640451811364813 gammaK2(797) = 7.49884966482488640451811364813 gammaK2(797)plus = 7.49122147878631842419855029782 Theorem 4: I1(797) = 0.567290780099636429871124206056 Theorem 4: I1prime(797) = 0.575683813615704539216997439477 Theorem 4: I2(797) = 0.558391578654638844141122994150 Theorem 4: I2prime(797) = 0.566784612170706953486996227572 --------- EK(809) = 4.12223718604432523776993649052 EK(809)plus = 6.23238489010926462125725889304 gammaK2(809) = 6.23238489010926462125725889304 gammaK2(809)plus = 3.79535335867957746727138905099 gammaK4(809) = 3.79535335867957746727138905099 gammaK4(809)plus = 2.62433366680767193390555342179 Theorem 4: I1(809) = 0.566880492285168938981911779850 Theorem 4: I1prime(809) = 0.575167372133013606914381151710 Theorem 4: I2(809) = 0.573832970081984011643101227259 Theorem 4: I2prime(809) = 0.582119849929828679575570599118 Theorem 4: I4(809) = 0.569980017105574389970511163526 Theorem 4: I4prime(809) = 0.578266896953419057902980535385 --------- EK(811) = 7.78049197339528694049438895924 EK(811)plus = 6.20402446030110746843796018685 gammaK3(811) = 6.25593380548421802538679433402 gammaK3(811)plus = 1.24881715424169890106082329682 gammaK5(811) = 7.01831860747802107743629233114 gammaK5(811)plus = 2.18471653011731701684750730201 Theorem 4: I1(811) = 0.571492422415186683057372872240 Theorem 4: I1prime(811) = 0.579761889148662501478607910109 Theorem 4: I3(811) = 0.591104665013634136180008063055 Theorem 4: I3prime(811) = 0.599374131747109954601243100923 Theorem 4: I5(811) = 0.593515764163939720022067909152 Theorem 4: I5prime(811) = 0.601785230897415538443302947021 --------- EK(821) = 7.12469153433152319503421406500 EK(821)plus = 7.77468490521663637288099673055 gammaK2(821) = 7.77468490521663637288099673055 gammaK2(821)plus = 8.25570900423266457274211139137 gammaK5(821) = 5.74459467333278004837569716995 gammaK5(821)plus = 5.59679975329363477828811061129 Theorem 4: I1(821) = 0.566931687046814111261154573644 Theorem 4: I1prime(821) = 0.575115251814439023726538656851 Theorem 4: I2(821) = 0.555886599857590622350247187313 Theorem 4: I2prime(821) = 0.564070164625215534815631270520 Theorem 4: I5(821) = 0.543940125889202894626841918522 Theorem 4: I5prime(821) = 0.552123690656827807092226001730 --------- EK(823) = 8.12485295860260451284060486614 EK(823)plus = 7.89400114393403322094019810043 gammaK3(823) = 4.87039926477749096274055677445 gammaK3(823)plus = 6.30534061128654555425735176639 Theorem 4: I1(823) = 0.567883163754758796435268404646 Theorem 4: I1prime(823) = 0.576049777137577616157786498278 Theorem 4: I3(823) = 0.548936655517670017666743240258 Theorem 4: I3prime(823) = 0.557103268900488837389261333890 --------- EK(827) = 8.57280492699400905200100728086 EK(827)plus = 7.40624236017545714127955680653 Theorem 4: I1(827) = 0.569651726973175674641073645570 Theorem 4: I1prime(827) = 0.577784662439306051535122480736 --------- EK(829) = 7.71871225864580584221701529730 EK(829)plus = 6.40668566601943708221815462904 gammaK2(829) = 6.40668566601943708221815462904 gammaK2(829)plus = 7.10313066493047584637494310935 gammaK3(829) = 2.79515722624769035009843525729 gammaK3(829)plus = 4.82283456236663327512684152534 gammaK6(829) = 4.82283456236663327512684152534 gammaK6(829)plus = 6.21916456061180755170624144400 Theorem 4: I1(829) = 0.571052892822656171731374740263 Theorem 4: I1prime(829) = 0.579169100739486238125806429563 Theorem 4: I2(829) = 0.558356505791005458005241164288 Theorem 4: I2prime(829) = 0.566472713707835524399672853587 Theorem 4: I3(829) = 0.552365563066741533553795860073 Theorem 4: I3prime(829) = 0.560481770983571599948227549372 Theorem 4: I6(829) = 0.521972108620563209195786923039 Theorem 4: I6prime(829) = 0.530088316537393275590218612339 --------- EK(839) = 8.87499465212200465091995435655 EK(839)plus = 8.09649278808096890633924246084 Theorem 4: I1(839) = 0.568473392123051405164057822844 Theorem 4: I1prime(839) = 0.576507056450577904182203203284 --------- EK(853) = 6.88991970094436755586306049167 EK(853)plus = 7.33204202884092055646805814106 gammaK2(853) = 7.33204202884092055646805814106 gammaK2(853)plus = 5.58221611848137732295069454154 gammaK3(853) = 7.80165853693634255598428593314 gammaK3(853)plus = 7.71340484632524272444037982408 gammaK6(853) = 7.71340484632524272444037982408 gammaK6(853)plus = 6.83930131652473585725928496505 Theorem 4: I1(853) = 0.568081761807614354647398772986 Theorem 4: I1prime(853) = 0.576002841088707874738889148472 Theorem 4: I2(853) = 0.568200849672887490631101711403 Theorem 4: I2prime(853) = 0.576121928953981010722592086888 Theorem 4: I3(853) = 0.550338649989577802814300948919 Theorem 4: I3prime(853) = 0.558259729270671322905791324404 Theorem 4: I6(853) = 0.535151447535298195041936875424 Theorem 4: I6prime(853) = 0.543072526816391715133427250909 --------- EK(857) = 8.45111528761183669651612476062 EK(857)plus = 8.86452846471471645459050626310 gammaK2(857) = 8.86452846471471645459050626310 gammaK2(857)plus = 8.55131372402713182896530916176 gammaK4(857) = 8.55131372402713182896530916176 gammaK4(857)plus = 7.84849383109312464030903978389 Theorem 4: I1(857) = 0.566367731289270790586981800907 Theorem 4: I1prime(857) = 0.574257261568006514640021569491 Theorem 4: I2(857) = 0.557949336598686405168677623192 Theorem 4: I2prime(857) = 0.565838866877422129221717391777 Theorem 4: I4(857) = 0.543787798226589621467699893005 Theorem 4: I4prime(857) = 0.551677328505325345520739661589 --------- EK(859) = 9.24580669868355494923596656959 EK(859)plus = 8.16703233502220633757588179317 gammaK3(859) = 8.27523107059079329497381742658 gammaK3(859)plus = 6.31261530208909521122647525921 Theorem 4: I1(859) = 0.568945114985550008709099189130 Theorem 4: I1prime(859) = 0.576818971537979210773571189639 Theorem 4: I3(859) = 0.561978345355589411901814170179 Theorem 4: I3prime(859) = 0.569852201908018613966286170689 --------- EK(863) = 7.72620548535533590614779548979 EK(863)plus = 8.20050639507017345758216947572 Theorem 4: I1(863) = 0.567142985071784201149309429048 Theorem 4: I1prime(863) = 0.574985693530117644241459779286 --------- EK(877) = 8.83312563402793595157788379249 EK(877)plus = 6.37140588734278855219079600697 gammaK2(877) = 6.37140588734278855219079600697 gammaK2(877)plus = -0.195624230140822579692940993404 gammaK3(877) = 7.04803322655718063253905784531 gammaK3(877)plus = 3.92675595566855122577958560776 gammaK6(877) = 3.92675595566855122577958560776 gammaK6(877)plus = 2.82528084769574187439285302402 Theorem 4: I1(877) = 0.572743722117019837221761667305 Theorem 4: I1prime(877) = 0.580479460692787169459423799279 Theorem 4: I2(877) = 0.592637853506666802111852308945 Theorem 4: I2prime(877) = 0.600373592082434134349514440919 Theorem 4: I3(877) = 0.574430683999629815567958064390 Theorem 4: I3prime(877) = 0.582166422575397147805620196364 Theorem 4: I6(877) = 0.565355791762500669817171113560 Theorem 4: I6prime(877) = 0.573091530338268002054833245535 --------- EK(881) = 8.22370479350006004654940462139 EK(881)plus = 9.25431146647367352996293011544 gammaK2(881) = 9.25431146647367352996293011544 gammaK2(881)plus = 7.61089354593493276841128086973 gammaK4(881) = 7.61089354593493276841128086973 gammaK4(881)plus = 7.06249787534032482731732524710 gammaK5(881) = 5.57478906558761376102170252311 gammaK5(881)plus = 2.63910779188414702890653339840 Theorem 4: I1(881) = 0.565519501393862988768599325117 Theorem 4: I1prime(881) = 0.573225248696063192755376885152 Theorem 4: I2(881) = 0.563635707236309241945497523755 Theorem 4: I2prime(881) = 0.571341454538509445932275083790 Theorem 4: I4(881) = 0.547571083301315055651011421062 Theorem 4: I4prime(881) = 0.555276830603515259637788981097 Theorem 4: I5(881) = 0.578856958847652857761181738754 Theorem 4: I5prime(881) = 0.586562706149853061747959298789 --------- EK(883) = 6.10673307672241031063673136864 EK(883)plus = 7.18137615472460117399140534751 gammaK3(883) = 1.52711301847435332684633119250 gammaK3(883)plus = 4.34112871466390420346035713620 Theorem 4: I1(883) = 0.567846379099236447927442198213 Theorem 4: I1prime(883) = 0.575537223997880393521007500799 Theorem 4: I3(883) = 0.552852279677886265281110905108 Theorem 4: I3prime(883) = 0.560543124576530210874676207694 --------- EK(887) = 8.33602191620623705467619597777 EK(887)plus = 8.10388630390772116563813071416 Theorem 4: I1(887) = 0.568322423461133080920299598506 Theorem 4: I1prime(887) = 0.575983648046132606304501685021 --------- EK(907) = 8.55107945964369876074649451920 EK(907)plus = 7.56179697411291227975886792890 gammaK3(907) = 4.08565969982246876582152289220 gammaK3(907)plus = 3.84447056222333974828824075816 Theorem 4: I1(907) = 0.569952937305392436562866732640 Theorem 4: I1prime(907) = 0.577469650826490821334319237005 Theorem 4: I3(907) = 0.565259379675886141680927947273 Theorem 4: I3prime(907) = 0.572776093196984526452380451638 --------- EK(911) = 5.89933118854775769072942946076 EK(911)plus = 6.29655522492116575919245833321 gammaK5(911) = -22.2687546827929398060505277921 gammaK5(911)plus = -8.57207873655088481622656242513 Theorem 4: I1(911) = 0.569851634385079144700839542433 Theorem 4: I1prime(911) = 0.577340143063386791207370697803 Theorem 4: I5(911) = 0.549017391723678586869677287351 Theorem 4: I5prime(911) = 0.556505900401986233376208442720 --------- EK(919) = 7.30312335218212959262563576101 EK(919)plus = 7.61793098271159055134101433239 gammaK3(919) = 4.96087625216960298174863875735 gammaK3(919)plus = -4.49626123440931393276838702898 Theorem 4: I1(919) = 0.568566240732911056821071849501 Theorem 4: I1prime(919) = 0.575999014286675421798819799429 Theorem 4: I3(919) = 0.622790717017331770679412955656 Theorem 4: I3prime(919) = 0.630223490571096135657160905584 --------- EK(929) = 8.00956549780235645433138889885 EK(929)plus = 8.44037348046377480227655330334 gammaK2(929) = 8.44037348046377480227655330334 gammaK2(929)plus = 7.94858159950431150446043692213 gammaK4(929) = 7.94858159950431150446043692213 gammaK4(929)plus = 5.48589407967157585649366732091 Theorem 4: I1(929) = 0.567648266405370608309763607958 Theorem 4: I1prime(929) = 0.575012607718747589470637311350 Theorem 4: I2(929) = 0.561129125979424616667276757659 Theorem 4: I2prime(929) = 0.568493467292801597828150461051 Theorem 4: I4(929) = 0.564152859293118131340616523604 Theorem 4: I4prime(929) = 0.571517200606495112501490226995 --------- EK(937) = 6.76760297485186826339525521122 EK(937)plus = 6.26868335071269207516664039288 gammaK2(937) = 6.26868335071269207516664039288 gammaK2(937)plus = 6.58706533350871748465181866055 gammaK3(937) = 6.60483704238646712491767130549 gammaK3(937)plus = 6.55913445016500305404606813176 gammaK4(937) = 6.58706533350871748465181866055 gammaK4(937)plus = -0.366691852679271717910672267420 gammaK6(937) = 6.55913445016500305404606813176 gammaK6(937)plus = 6.37156467132998199127171577083 Theorem 4: I1(937) = 0.571043576989528868701102422331 Theorem 4: I1prime(937) = 0.578354136051749405226525863140 Theorem 4: I2(937) = 0.562444814740492340455524012371 Theorem 4: I2prime(937) = 0.569755373802712876980947453180 Theorem 4: I3(937) = 0.556315849462411836504909883676 Theorem 4: I3prime(937) = 0.563626408524632373030333324485 Theorem 4: I4(937) = 0.608468393447708246862699012111 Theorem 4: I4prime(937) = 0.615778952509928783388122452919 Theorem 4: I6(937) = 0.537527809442832979420468584629 Theorem 4: I6prime(937) = 0.544838368505053515945892025438 --------- EK(941) = 7.57503682467401033716196085753 EK(941)plus = 8.35219710375717354069218737947 gammaK2(941) = 8.35219710375717354069218737947 gammaK2(941)plus = -3.13969494550470610101434887472 gammaK5(941) = 4.24298530475393623362066472183 gammaK5(941)plus = 4.29726330881300609938618245159 Theorem 4: I1(941) = 0.567495833662273578217191265500 Theorem 4: I1prime(941) = 0.574779815725662279956352471778 Theorem 4: I2(941) = 0.608331203226433279842643417577 Theorem 4: I2prime(941) = 0.615615185289821981581804623856 Theorem 4: I5(941) = 0.554030423971025069825177720999 Theorem 4: I5prime(941) = 0.561314406034413771564338927277 --------- EK(947) = 6.11419483639106728073171056460 EK(947)plus = 7.95343506258159999322009500308 Theorem 4: I1(947) = 0.566856341655248713694573773324 Theorem 4: I1prime(947) = 0.574100843867918986679741985463 --------- EK(953) = 6.15571608785639932260669671323 EK(953)plus = 7.08873547766662054028688928378 gammaK2(953) = 7.08873547766662054028688928378 gammaK2(953)plus = 6.58866489761958834984546850189 gammaK4(953) = 6.58866489761958834984546850189 gammaK4(953)plus = 4.07671091543306413278864822498 Theorem 4: I1(953) = 0.568781883026200072098796193494 Theorem 4: I1prime(953) = 0.575987360866172973477247891299 Theorem 4: I2(953) = 0.564409362810330068462011040885 Theorem 4: I2prime(953) = 0.571614840650302969840462738691 Theorem 4: I4(953) = 0.570610780821337428601847049553 Theorem 4: I4prime(953) = 0.577816258661310329980298747359 --------- EK(967) = 9.54189706968944462580232252884 EK(967)plus = 7.06903903803457829125249786254 gammaK3(967) = 6.44661126637010363472079561322 gammaK3(967)plus = 6.79252454275037164517121347466 Theorem 4: I1(967) = 0.572450346936842867674461570455 Theorem 4: I1prime(967) = 0.579566494447664083332590334147 Theorem 4: I3(967) = 0.555024503514447578397568735735 Theorem 4: I3prime(967) = 0.562140651025268794055697499427 --------- EK(971) = 7.92389849214475088209795939017 EK(971)plus = 8.57420233053688525464980884097 gammaK5(971) = 8.61773206105994496135505323827 gammaK5(971)plus = 5.23745457088757481299138616342 Theorem 4: I1(971) = 0.567698554358085692614911635033 Theorem 4: I1prime(971) = 0.574789612572819017265694741576 Theorem 4: I5(971) = 0.567606035319419778187550738561 Theorem 4: I5prime(971) = 0.574697093534153102838333845105 --------- EK(977) = 8.06669865604197678199526647998 EK(977)plus = 6.60998653725128262000504514951 gammaK2(977) = 6.60998653725128262000504514951 gammaK2(977)plus = 6.50617012027684528811809243007 gammaK4(977) = 6.50617012027684528811809243007 gammaK4(977)plus = 1.97759936697664409108420996993 Theorem 4: I1(977) = 0.571928443389475473985641082380 Theorem 4: I1prime(977) = 0.578982220696896357940920780811 Theorem 4: I2(977) = 0.564081633178971735933998935556 Theorem 4: I2prime(977) = 0.571135410486392619889278633986 Theorem 4: I4(977) = 0.587641556741762927090095667098 Theorem 4: I4prime(977) = 0.594695334049183811045375365529 --------- EK(983) = 9.23998862161676666977343984902 EK(983)plus = 7.16752643384930746960928163223 Theorem 4: I1(983) = 0.572020062905966513437772983173 Theorem 4: I1prime(983) = 0.579036976470271163694452552694 --------- EK(991) = 9.18044945534348584087905159248 EK(991)plus = 8.31116994839371537655025290090 gammaK3(991) = -7.36825011335020092121706981457 gammaK3(991)plus = 0.252732610223108638296604857089 gammaK5(991) = 0.838730507442152437627792123926 gammaK5(991)plus = 4.07343255997570967214249912103 Theorem 4: I1(991) = 0.569691565063185921058415887534 Theorem 4: I1prime(991) = 0.576659963582711161452202200917 Theorem 4: I3(991) = 0.553334805106636062308924011773 Theorem 4: I3prime(991) = 0.560303203626161302702710325156 Theorem 4: I5(991) = 0.540270700199367243702214148509 Theorem 4: I5prime(991) = 0.547239098718892484096000461892 --------- EK(997) = 7.56606979610494643481738311681 EK(997)plus = 6.51370536369376708844104245736 gammaK2(997) = 6.51370536369376708844104245736 gammaK2(997)plus = 6.89865762821296675272043738568 gammaK3(997) = 6.24730750554602914883726024633 gammaK3(997)plus = 6.10269526375802593077497923594 gammaK6(997) = 6.10269526375802593077497923594 gammaK6(997)plus = 6.38237351021857577605546694158 Theorem 4: I1(997) = 0.571725430552160048848005489671 Theorem 4: I1prime(997) = 0.578657911244892818255877701995 Theorem 4: I2(997) = 0.562576021581402540955090996656 Theorem 4: I2prime(997) = 0.569508502274135310362963208980 Theorem 4: I3(997) = 0.559248750736886006744703142980 Theorem 4: I3prime(997) = 0.566181231429618776152575355304 Theorem 4: I6(997) = 0.537041061061943352228537229483 Theorem 4: I6prime(997) = 0.543973541754676121636409441807 --------- EK(1009) = 8.44213515184929927586069467274 EK(1009)plus = 6.27335408443221031721862501118 gammaK2(1009) = 6.27335408443221031721862501118 gammaK2(1009)plus = 6.36688371102983071729707697602 gammaK3(1009) = 8.58287554408297398036086591294 gammaK3(1009)plus = 6.74796108329694355020214690136 gammaK4(1009) = 6.36688371102983071729707697602 gammaK4(1009)plus = 6.00734736458697406998755684137 gammaK6(1009) = 6.74796108329694355020214690136 gammaK6(1009)plus = 6.69693025857009004713018917496 Theorem 4: I1(1009) = 0.573136860499279069567363311154 Theorem 4: I1prime(1009) = 0.579998680955979078452777121497 Theorem 4: I2(1009) = 0.564383769746603989324248314782 Theorem 4: I2prime(1009) = 0.571245590203303998209662125125 Theorem 4: I3(1009) = 0.562573080249843535818033394546 Theorem 4: I3prime(1009) = 0.569434900706543544703447204889 Theorem 4: I4(1009) = 0.554776486970577235878085699142 Theorem 4: I4prime(1009) = 0.561638307427277244763499509484 Theorem 4: I6(1009) = 0.537615895530699904934228487351 Theorem 4: I6prime(1009) = 0.544477715987399913819642297693 --------- EK(1013) = 3.19489720035726835008323163315 EK(1013)plus = 5.22279183645450415134381845614 gammaK2(1013) = 5.22279183645450415134381845614 gammaK2(1013)plus = 6.31628764251192719553111858535 Theorem 4: I1(1013) = 0.570044197430428592539310455397 Theorem 4: I1prime(1013) = 0.576882805636207923942959478038 Theorem 4: I2(1013) = 0.562558309058103750782160177558 Theorem 4: I2prime(1013) = 0.569396917263883082185809200199 --------- EK(1019) = 6.01581760050605842087959006054 EK(1019)plus = 6.66948167366678275974508011141 Theorem 4: I1(1019) = 0.570015321237482211435790337145 Theorem 4: I1prime(1019) = 0.576819424413535968619964665207 --------- EK(1021) = 7.49260773161548374647975489464 EK(1021)plus = 7.98179159410042251855627360246 gammaK2(1021) = 7.98179159410042251855627360246 gammaK2(1021)plus = 4.92642336908944165156995255821 gammaK3(1021) = 8.69655754959354741799722805720 gammaK3(1021)plus = 6.17483562836502597854196540882 gammaK5(1021) = 5.11452820935309056450702746173 gammaK5(1021)plus = 5.91164193121125859720273947835 gammaK6(1021) = 6.17483562836502597854196540882 gammaK6(1021)plus = 5.33987024515026072809870766856 Theorem 4: I1(1021) = 0.568904127508669314679944304324 Theorem 4: I1prime(1021) = 0.575696811644124869146293467784 Theorem 4: I2(1021) = 0.573533610336407534451512127970 Theorem 4: I2prime(1021) = 0.580326294471863088917861291430 Theorem 4: I3(1021) = 0.566451234338968272096061937365 Theorem 4: I3prime(1021) = 0.573243918474423826562411100825 Theorem 4: I5(1021) = 0.544296310307391281271390518227 Theorem 4: I5prime(1021) = 0.551088994442846835737739681687 Theorem 4: I6(1021) = 0.550676267571703736888148566013 Theorem 4: I6prime(1021) = 0.557468951707159291354497729473 --------- EK(1031) = 5.50378311202574998314284132414 EK(1031)plus = 7.43420573851904006765764438780 gammaK5(1031) = 4.32146444480509405450039652319 gammaK5(1031)plus = 6.56016866834766137055486557758 Theorem 4: I1(1031) = 0.568117252703920722783283769524 Theorem 4: I1prime(1031) = 0.574853451232092528536006492928 Theorem 4: I5(1031) = 0.534469989705327032973686568940 Theorem 4: I5prime(1031) = 0.541206188233498838726409292343 --------- EK(1033) = 4.78378893784572628069267583514 EK(1033)plus = 5.96115757781159230247928425832 gammaK2(1033) = 5.96115757781159230247928425832 gammaK2(1033)plus = 6.90333747499607709817529843095 gammaK3(1033) = 5.47274263078103792328755964459 gammaK3(1033)plus = 5.21310916359544170781845788382 gammaK4(1033) = 6.90333747499607709817529843095 gammaK4(1033)plus = 7.16353341809429027402569069097 gammaK6(1033) = 5.21310916359544170781845788382 gammaK6(1033)plus = 6.01107439761680890586356097152 Theorem 4: I1(1033) = 0.570291971839953537859617176717 Theorem 4: I1prime(1033) = 0.577016993612356288389275087948 Theorem 4: I2(1033) = 0.561998140882244169435192379782 Theorem 4: I2prime(1033) = 0.568723162654646919964850291013 Theorem 4: I3(1033) = 0.562796476767282138970235886494 Theorem 4: I3prime(1033) = 0.569521498539684889499893797725 Theorem 4: I4(1033) = 0.548415454114847177659203016973 Theorem 4: I4prime(1033) = 0.555140475887249928188860928203 Theorem 4: I6(1033) = 0.537589126218913216103963706533 Theorem 4: I6prime(1033) = 0.544314147991315966633621617764 --------- EK(1039) = 7.48663284365190938627103227165 EK(1039)plus = 7.99926067071786103924728464079 gammaK3(1039) = 7.24833195181718755269068839126 gammaK3(1039)plus = 7.74294992964179905758253983407 Theorem 4: I1(1039) = 0.569008940213576273719471261592 Theorem 4: I1prime(1039) = 0.575700668528700770244314224913 Theorem 4: I3(1039) = 0.553388324913724955811716615400 Theorem 4: I3prime(1039) = 0.560080053228849452336559578721 --------- EK(1049) = 5.06543668909119977296902148949 EK(1049)plus = 7.53328276528356735182664200116 gammaK2(1049) = 7.53328276528356735182664200116 gammaK2(1049)plus = 7.93504476342653318408488760937 gammaK4(1049) = 7.93504476342653318408488760937 gammaK4(1049)plus = 2.78000009396959257614842158986 Theorem 4: I1(1049) = 0.567666269999506485300101301261 Theorem 4: I1prime(1049) = 0.574303285847212875734345473279 Theorem 4: I2(1049) = 0.561293062272874071662280453843 Theorem 4: I2prime(1049) = 0.567930078120580462096524625861 Theorem 4: I4(1049) = 0.586255388411607828703282320073 Theorem 4: I4prime(1049) = 0.592892404259314219137526492091 --------- EK(1051) = 9.54498273976429784375121033302 EK(1051)plus = 8.93027181107189874871244025602 gammaK3(1051) = 7.03190997469928407255107107693 gammaK3(1051)plus = 2.81764939234262108065931458877 gammaK5(1051) = 4.17368275927505195887736511071 gammaK5(1051)plus = 6.21514962532539323559412857533 Theorem 4: I1(1051) = 0.569289772453578800209702141355 Theorem 4: I1prime(1051) = 0.575915960425842563186478126178 Theorem 4: I3(1051) = 0.581187050621652226744385421267 Theorem 4: I3prime(1051) = 0.587813238593915989721161406090 Theorem 4: I5(1051) = 0.537866890237970964057523194726 Theorem 4: I5prime(1051) = 0.544493078210234727034299179550 --------- EK(1061) = 8.22252973087083506693639003633 EK(1061)plus = 7.60961507602298756239724392256 gammaK2(1061) = 7.60961507602298756239724392256 gammaK2(1061)plus = -4.15129684638150772399341403902 gammaK5(1061) = 7.32697069344377016157660252450 gammaK5(1061)plus = 6.24320522621545779870704730491 Theorem 4: I1(1061) = 0.570608803550888269609302544383 Theorem 4: I1prime(1061) = 0.577181414059014668793323177422 Theorem 4: I2(1061) = 0.607226299162434514589908413417 Theorem 4: I2prime(1061) = 0.613798909670560913773929046457 Theorem 4: I5(1061) = 0.552847682026555163271504954618 Theorem 4: I5prime(1061) = 0.559420292534681562455525587658 --------- EK(1063) = 4.77715641802743344920619916196 EK(1063)plus = 7.94171098310080092528507804023 gammaK3(1063) = 1.52660891041682064529672098963 gammaK3(1063)plus = 3.92503989036683779580472992051 Theorem 4: I1(1063) = 0.566751608824150431130292902876 Theorem 4: I1prime(1063) = 0.573313614830122133511112798115 Theorem 4: I3(1063) = 0.559334216098361033915287347860 Theorem 4: I3prime(1063) = 0.565896222104332736296107243100 --------- EK(1069) = 7.99931969717339919415430622893 EK(1069)plus = 6.99427308924763709349992575209 gammaK2(1069) = 6.99427308924763709349992575209 gammaK2(1069)plus = 6.33279869557388377228553871119 gammaK3(1069) = 8.36038886442101855439154663261 gammaK3(1069)plus = 6.17469620393916267950464318821 gammaK6(1069) = 6.17469620393916267950464318821 gammaK6(1069)plus = 4.15125260519059226277476920055 Theorem 4: I1(1069) = 0.571601660320739551384906633784 Theorem 4: I1prime(1069) = 0.578132071286118807213988684835 Theorem 4: I2(1069) = 0.566582978173320295612316895848 Theorem 4: I2prime(1069) = 0.573113389138699551441398946898 Theorem 4: I3(1069) = 0.565992254917199472796268208636 Theorem 4: I3prime(1069) = 0.572522665882578728625350259686 Theorem 4: I6(1069) = 0.565224994017221618461152667251 Theorem 4: I6prime(1069) = 0.571755404982600874290234718302 --------- EK(1087) = 7.14879369558010410117414580358 EK(1087)plus = 7.26184544530949709839933023399 gammaK3(1087) = -2.79787883007995676378154631141 gammaK3(1087)plus = 2.02602892027863373925393576962 Theorem 4: I1(1087) = 0.570418855746084346406623871859 Theorem 4: I1prime(1087) = 0.576856403524280671860714197837 Theorem 4: I3(1087) = 0.558275404629667057933187481860 Theorem 4: I3prime(1087) = 0.564712952407863383387277807837 --------- EK(1091) = 7.31749231388471991181272060635 EK(1091)plus = 6.98455288460785002661104906203 gammaK5(1091) = 5.53712835042325539657001789408 gammaK5(1091)plus = 0.217791376916486137364787278462 Theorem 4: I1(1091) = 0.571107379810802617844998132175 Theorem 4: I1prime(1091) = 0.577524673375787086485834733842 Theorem 4: I5(1091) = 0.600587813080547992043207533823 Theorem 4: I5prime(1091) = 0.607005106645532460684044135490 --------- EK(1093) = 7.02995424416251130292252464351 EK(1093)plus = 8.34981977269485511471908150278 gammaK2(1093) = 8.34981977269485511471908150278 gammaK2(1093)plus = 4.59666183238954691584459041587 gammaK3(1093) = -7.75266465621602878798461796732 gammaK3(1093)plus = 1.05537525497548239416804880940 gammaK6(1093) = 1.05537525497548239416804880940 gammaK6(1093)plus = 1.13343604985613342551126641633 Theorem 4: I1(1093) = 0.568354774316636144423620411001 Theorem 4: I1prime(1093) = 0.574761991796651289625695605974 Theorem 4: I2(1093) = 0.575659051147752175877259023189 Theorem 4: I2prime(1093) = 0.582066268627767321079334218162 Theorem 4: I3(1093) = 0.550100768243161957525405522002 Theorem 4: I3prime(1093) = 0.556507985723177102727480716976 Theorem 4: I6(1093) = 0.570523884339902093562245281191 Theorem 4: I6prime(1093) = 0.576931101819917238764320476164 --------- EK(1097) = 9.21395920271318872374198528075 EK(1097)plus = 8.16432315929997770469424457852 gammaK2(1097) = 8.16432315929997770469424457852 gammaK2(1097)plus = 7.66059577190771357179142780769 gammaK4(1097) = 7.66059577190771357179142780769 gammaK4(1097)plus = -0.934334704104550965398653528385 Theorem 4: I1(1097) = 0.570718334351929648929582647255 Theorem 4: I1prime(1097) = 0.577105500830282961197748110183 Theorem 4: I2(1097) = 0.564144030684390884783233300849 Theorem 4: I2prime(1097) = 0.570531197162744197051398763778 Theorem 4: I4(1097) = 0.611970694148388562031039715635 Theorem 4: I4prime(1097) = 0.618357860626741874299205178564 --------- EK(1103) = 4.08511784462383994492761492958 EK(1103)plus = 6.89016624787821044301361829691 Theorem 4: I1(1103) = 0.568412060553583283942105237396 Theorem 4: I1prime(1103) = 0.574769400861435827018835233163 --------- EK(1109) = 8.88255153800499321525970916026 EK(1109)plus = 8.45707918339370845996686547809 gammaK2(1109) = 8.45707918339370845996686547809 gammaK2(1109)plus = 8.38048159902085652068719869109 Theorem 4: I1(1109) = 0.569961211256009105057914336527 Theorem 4: I1prime(1109) = 0.576289021713906548230203480014 Theorem 4: I2(1109) = 0.562215282545746033847342738011 Theorem 4: I2prime(1109) = 0.568543093003643477019631881498 --------- EK(1117) = 7.11875203793680201141842936077 EK(1117)plus = 8.06523779150819802100854523086 gammaK2(1117) = 8.06523779150819802100854523086 gammaK2(1117)plus = 7.21095704866734844295900524807 gammaK3(1117) = 5.48609140540880077476606983210 gammaK3(1117)plus = 1.94314790667480065086302255095 gammaK6(1117) = 1.94314790667480065086302255095 gammaK6(1117)plus = -15.7334374333942644226399785805 Theorem 4: I1(1117) = 0.569135008597249211775195139608 Theorem 4: I1prime(1117) = 0.575423899098207276926250768500 Theorem 4: I2(1117) = 0.565812501467254263957658109985 Theorem 4: I2prime(1117) = 0.572101391968212329108713738878 Theorem 4: I3(1117) = 0.581499285067012004176106093043 Theorem 4: I3prime(1117) = 0.587788175567970069327161721935 Theorem 4: I6(1117) = 0.756805632014233782278511681927 Theorem 4: I6prime(1117) = 0.763094522515191847429567310819 --------- EK(1123) = 7.14954955048058431656890529816 EK(1123)plus = 7.69464669826295241286831510078 gammaK3(1123) = 7.81572064139791998189883857270 gammaK3(1123)plus = 7.21594175359967350015627930961 Theorem 4: I1(1123) = 0.569866285328659118423382649474 Theorem 4: I1prime(1123) = 0.576126320047677338726890108892 Theorem 4: I3(1123) = 0.559508651798537017722241428302 Theorem 4: I3prime(1123) = 0.565768686517555238025748887720 --------- EK(1129) = 7.47090493500694094333124807765 EK(1129)plus = 8.72108501392539731670636161708 gammaK2(1129) = 8.72108501392539731670636161708 gammaK2(1129)plus = 5.43792973478780072445373212762 gammaK3(1129) = 5.97589236742432073420377319207 gammaK3(1129)plus = 6.41396412634245974849413586271 gammaK4(1129) = 5.43792973478780072445373212762 gammaK4(1129)plus = -9.31979574440471193194601619764 gammaK6(1129) = 6.41396412634245974849413586271 gammaK6(1129)plus = 5.31100826311989291533612980941 Theorem 4: I1(1129) = 0.568370366538544944517949869589 Theorem 4: I1prime(1129) = 0.574601827145060602334659429211 Theorem 4: I2(1129) = 0.573384094128028038283785472710 Theorem 4: I2prime(1129) = 0.579615554734543696100495032332 Theorem 4: I3(1129) = 0.558975592173162875445338664303 Theorem 4: I3prime(1129) = 0.565207052779678533262048223925 Theorem 4: I4(1129) = 0.662574848458237502204132852364 Theorem 4: I4prime(1129) = 0.668806309064753160020842411985 Theorem 4: I6(1129) = 0.554799261388214553478879997977 Theorem 4: I6prime(1129) = 0.561030721994730211295589557599 --------- EK(1151) = 6.05742829637482922031956784385 EK(1151)plus = 7.02205344763900925647626113580 gammaK5(1151) = 4.80819809911868016575493287035 gammaK5(1151)plus = 4.80751186309559303796178578935 Theorem 4: I1(1151) = 0.570265397396695514996552311629 Theorem 4: I1prime(1151) = 0.576394429056453673817343104894 Theorem 4: I5(1151) = 0.556289775080957799436992831380 Theorem 4: I5prime(1151) = 0.562418806740715958257783624644 --------- EK(1153) = 9.77435850785916454363141243611 EK(1153)plus = 8.33729816813822366573020901340 gammaK2(1153) = 8.33729816813822366573020901340 gammaK2(1153)plus = 6.18942592631435731496447906987 gammaK3(1153) = 9.28821413268910887049904697279 gammaK3(1153)plus = 5.86756472804946740664387499419 gammaK4(1153) = 6.18942592631435731496447906987 gammaK4(1153)plus = 7.15899658537329404957344336420 gammaK6(1153) = 5.86756472804946740664387499419 gammaK6(1153)plus = -1.17581949684110495326075990587 Theorem 4: I1(1153) = 0.571220562708444015398747673712 Theorem 4: I1prime(1153) = 0.577340460729510906914349741996 Theorem 4: I2(1153) = 0.570188453820783628218119119258 Theorem 4: I2prime(1153) = 0.576308351841850519733721187543 Theorem 4: I3(1153) = 0.570827552345723243850511295593 Theorem 4: I3prime(1153) = 0.576947450366790135366113363878 Theorem 4: I4(1153) = 0.548970223434681132565894000753 Theorem 4: I4prime(1153) = 0.555090121455748024081496069038 Theorem 4: I6(1153) = 0.619992143150025623219271427258 Theorem 4: I6prime(1153) = 0.626112041171092514734873495542 --------- EK(1163) = 10.5531317604668253837935937991 EK(1163)plus = 8.38911674410935591725979896827 Theorem 4: I1(1163) = 0.571853206734119999878992905049 Theorem 4: I1prime(1163) = 0.577927869515977714530281776246 --------- EK(1171) = 8.18915188414201822439756375393 EK(1171)plus = 6.79542526015421457219201373472 gammaK3(1171) = 8.55990291886367793326388210790 gammaK3(1171)plus = 3.72096495621676713162369349903 gammaK5(1171) = 7.06495338671510056748002120875 gammaK5(1171)plus = 1.65531764544925862532574739888 Theorem 4: I1(1171) = 0.572593666934056566871596467480 Theorem 4: I1prime(1171) = 0.578632652714909316736411196694 Theorem 4: I3(1171) = 0.580066777774992580914593321828 Theorem 4: I3prime(1171) = 0.586105763555845330779408051041 Theorem 4: I5(1171) = 0.593233951696557350208921114363 Theorem 4: I5prime(1171) = 0.599272937477410100073735843577 --------- EK(1181) = 9.22252758788294445624086687836 EK(1181)plus = 8.79177460201389821175578313587 gammaK2(1181) = 8.79177460201389821175578313587 gammaK2(1181)plus = 6.90565158076349241427103974498 gammaK5(1181) = 5.58038370809676747066177316533 gammaK5(1181)plus = -9.13787139582842963439490026982 Theorem 4: I1(1181) = 0.570124972841875346469996387630 Theorem 4: I1prime(1181) = 0.576119987092890060287825888374 Theorem 4: I2(1181) = 0.568697828335830993944471198803 Theorem 4: I2prime(1181) = 0.574692842586845707762300699548 Theorem 4: I5(1181) = 0.678275544077391386138858463829 Theorem 4: I5prime(1181) = 0.684270558328406099956687964574 --------- EK(1187) = 8.57031533480880933570218217531 EK(1187)plus = 7.92354784159957603145687182393 Theorem 4: I1(1187) = 0.571075066835289563922524635847 Theorem 4: I1prime(1187) = 0.577044025009496703920083885964 --------- EK(1193) = 7.71404915631585479575075729583 EK(1193)plus = 8.69608574151858174300131552313 gammaK2(1193) = 8.69608574151858174300131552313 gammaK2(1193)plus = 7.79549986415473141917000034717 gammaK4(1193) = 7.79549986415473141917000034717 gammaK4(1193)plus = 7.64003408840537410675016663254 Theorem 4: I1(1193) = 0.569091448903468374579071493838 Theorem 4: I1prime(1193) = 0.575034591875027029036388466885 Theorem 4: I2(1193) = 0.565637045556293867737726851585 Theorem 4: I2prime(1193) = 0.571580188527852522195043824632 Theorem 4: I4(1193) = 0.552079720419561130912593801858 Theorem 4: I4prime(1193) = 0.558022863391119785369910774905 --------- EK(1201) = 7.95836659785722974334642930554 EK(1201)plus = 7.55214245812752587008703066331 gammaK2(1201) = 7.55214245812752587008703066331 gammaK2(1201)plus = -3.39348893359772965178561101330 gammaK3(1201) = 7.14299757905521119673377311040 gammaK3(1201)plus = 3.62838767390989416755464036405 gammaK4(1201) = -3.39348893359772965178561101330 gammaK4(1201)plus = -40.5561354305839087046454248408 gammaK5(1201) = 8.21147356630221625995181161542 gammaK5(1201)plus = 2.94910678062679181381133238559 gammaK6(1201) = 3.62838767390989416755464036405 gammaK6(1201)plus = 0.225450803542961566878452502707 Theorem 4: I1(1201) = 0.571255808726602675620585596150 Theorem 4: I1prime(1201) = 0.577164900245002661904746294242 Theorem 4: I2(1201) = 0.601104350291207169252135576735 Theorem 4: I2prime(1201) = 0.607013441809607155536296274827 Theorem 4: I3(1201) = 0.576916447750825417794862919293 Theorem 4: I3prime(1201) = 0.582825539269225404079023617385 Theorem 4: I4(1201) = 0.836258574355038486510582349983 Theorem 4: I4prime(1201) = 0.842167665873438472794743048075 Theorem 4: I5(1201) = 0.586829627041242163298366199025 Theorem 4: I5prime(1201) = 0.592738718559642149582526897117 Theorem 4: I6(1201) = 0.593073549778060715844079963385 Theorem 4: I6prime(1201) = 0.598982641296460702128240661477 --------- EK(1213) = 9.03497149699895767886607054706 EK(1213)plus = 9.07718624814594107584284924995 gammaK2(1213) = 9.07718624814594107584284924995 gammaK2(1213)plus = 6.63076157687943154047580853710 gammaK3(1213) = 8.45960504034671267339820832686 gammaK3(1213)plus = 8.47978776954799712869749838659 gammaK6(1213) = 8.47978776954799712869749838659 gammaK6(1213)plus = -0.628930581421193639228487245605 Theorem 4: I1(1213) = 0.569686572667212172744219088116 Theorem 4: I1prime(1213) = 0.575545361370961389023709518118 Theorem 4: I2(1213) = 0.570301150554475647369897802534 Theorem 4: I2prime(1213) = 0.576159939258224863649388232536 Theorem 4: I3(1213) = 0.556161632011797635853352983953 Theorem 4: I3prime(1213) = 0.562020420715546852132843413955 Theorem 4: I6(1213) = 0.625392843830674618977180320022 Theorem 4: I6prime(1213) = 0.631251632534423835256670750024 --------- EK(1217) = 9.56013589253956059577898246438 EK(1217)plus = 9.37736344166396798070849677855 gammaK2(1217) = 9.37736344166396798070849677855 gammaK2(1217)plus = 8.06156076705776512534354310859 gammaK4(1217) = 8.06156076705776512534354310859 gammaK4(1217)plus = 4.12781307155997981165161683728 Theorem 4: I1(1217) = 0.569649519165883965953672885006 Theorem 4: I1prime(1217) = 0.575491742926564498168135164636 Theorem 4: I2(1217) = 0.566111059118289040208168255019 Theorem 4: I2prime(1217) = 0.571953282878969572422630534649 Theorem 4: I4(1217) = 0.576558074112641824323044482038 Theorem 4: I4prime(1217) = 0.582400297873322356537506761667 --------- EK(1223) = 5.04615421777380098323277121081 EK(1223)plus = 7.68833378512921472256664328106 Theorem 4: I1(1223) = 0.568757128964047490675006970298 Theorem 4: I1prime(1223) = 0.574574692086541085073747995730 --------- EK(1229) = 4.17965037264175208370193910226 EK(1229)plus = 6.58829243529997901725028845110 gammaK2(1229) = 6.58829243529997901725028845110 gammaK2(1229)plus = 6.53738330527572306266138794383 Theorem 4: I1(1229) = 0.569884453483107835578128632409 Theorem 4: I1prime(1229) = 0.575677577350832619634376855644 Theorem 4: I2(1229) = 0.566641939658667727231709589008 Theorem 4: I2prime(1229) = 0.572435063526392511287957812243 --------- EK(1231) = 8.73519349723687814500963225299 EK(1231)plus = 8.97385062059156290973103547139 gammaK3(1231) = 8.64587443050456034164262992884 gammaK3(1231)plus = 0.229897944789133956545472131414 gammaK5(1231) = 5.25428341188106581467430958672 gammaK5(1231)plus = 6.55587976523414990955776866299 Theorem 4: I1(1231) = 0.569721117934000261562895955595 Theorem 4: I1prime(1231) = 0.575506144052849410758302685858 Theorem 4: I3(1231) = 0.597167600303502234458600575292 Theorem 4: I3prime(1231) = 0.602952626422351383654007305555 Theorem 4: I5(1231) = 0.545251188703540652664899754840 Theorem 4: I5prime(1231) = 0.551036214822389801860306485104 --------- EK(1237) = 9.63328805765113138468747389683 EK(1237)plus = 7.41631146159564015140027493844 gammaK2(1237) = 7.41631146159564015140027493844 gammaK2(1237)plus = 3.61522895626492329548844672953 gammaK3(1237) = 8.78900340362346631781874978874 gammaK3(1237)plus = 6.44984684420374701377341867937 gammaK6(1237) = 6.44984684420374701377341867937 gammaK6(1237)plus = 5.54470288662978288917965138300 Theorem 4: I1(1237) = 0.573004422391125019942736577718 Theorem 4: I1prime(1237) = 0.578765299715067162256193879575 Theorem 4: I2(1237) = 0.577507076991730031185977986810 Theorem 4: I2prime(1237) = 0.583267954315672173499435288666 Theorem 4: I3(1237) = 0.567224278585736817276314165636 Theorem 4: I3prime(1237) = 0.572985155909678959589771467493 Theorem 4: I6(1237) = 0.554665568754058293097291986255 Theorem 4: I6prime(1237) = 0.560426446078000435410749288111 --------- EK(1249) = 8.72931961414060459728710073303 EK(1249)plus = 9.07542276668367542513852911099 gammaK2(1249) = 9.07542276668367542513852911099 gammaK2(1249)plus = 6.90879210237822468562228229562 gammaK3(1249) = 7.21836691797615476020262119106 gammaK3(1249)plus = 7.77671160424459879926229876035 gammaK4(1249) = 6.90879210237822468562228229562 gammaK4(1249)plus = 5.48562662665359794420853343566 gammaK6(1249) = 7.77671160424459879926229876035 gammaK6(1249)plus = 6.69043999088698294434134048020 Theorem 4: I1(1249) = 0.569661787386158835948208136559 Theorem 4: I1prime(1249) = 0.575375007346195356521584644685 Theorem 4: I2(1249) = 0.569606891411095664345807904204 Theorem 4: I2prime(1249) = 0.575320111371132184919184412329 Theorem 4: I3(1249) = 0.557165738193664881378398261145 Theorem 4: I3prime(1249) = 0.562878958153701401951774769271 Theorem 4: I4(1249) = 0.564176644482016810211101317378 Theorem 4: I4prime(1249) = 0.569889864442053330784477825503 Theorem 4: I6(1249) = 0.550245080298218420173849788601 Theorem 4: I6prime(1249) = 0.555958300258254940747226296726 --------- EK(1259) = 9.37661807021660084634885680573 EK(1259)plus = 8.47740506925930376136786229826 Theorem 4: I1(1259) = 0.571187154398982588550493407853 Theorem 4: I1prime(1259) = 0.576861298305218158635127861122 --------- EK(1277) = 9.43679907280250349719381192756 EK(1277)plus = 8.30704939865635925523749889785 gammaK2(1277) = 8.30704939865635925523749889785 gammaK2(1277)plus = -5.89952367171158968196764081379 Theorem 4: I1(1277) = 0.571586429046606202250021203251 Theorem 4: I1prime(1277) = 0.577191655422807251851206931993 Theorem 4: I2(1277) = 0.608721137496679157737502050579 Theorem 4: I2prime(1277) = 0.614326363872880207338687779320 --------- EK(1279) = 7.94604783359513952935762226351 EK(1279)plus = 6.21697490974513173505849643211 gammaK3(1279) = 4.29882418320863076287940875988 gammaK3(1279)plus = 6.01250255488580152531165742147 Theorem 4: I1(1279) = 0.573699624475143116239347218475 Theorem 4: I1prime(1279) = 0.579297303506112476716682532380 Theorem 4: I3(1279) = 0.559065949864927363779701664268 Theorem 4: I3prime(1279) = 0.564663628895896724257036978173 --------- EK(1283) = 7.46998597502797857375272596558 EK(1283)plus = 8.53518348049407523850878768549 Theorem 4: I1(1283) = 0.569722713547998895774594004080 Theorem 4: I1prime(1283) = 0.575305362818369907028730853705 --------- EK(1289) = 3.65395949908713805169166418050 EK(1289)plus = 5.96968257818378445180175338113 gammaK2(1289) = 5.96968257818378445180175338113 gammaK2(1289)plus = 2.46031002792630219907351671892 gammaK4(1289) = 2.46031002792630219907351671892 gammaK4(1289)plus = 3.57081361489031401875477820762 Theorem 4: I1(1289) = 0.570778579557735761895133004294 Theorem 4: I1prime(1289) = 0.576338845087968050239552917370 Theorem 4: I2(1289) = 0.578836010020788990676869698825 Theorem 4: I2prime(1289) = 0.584396275551021279021289611900 Theorem 4: I4(1289) = 0.562660144816487649032659731047 Theorem 4: I4prime(1289) = 0.568220410346719937377079644123 --------- EK(1291) = 8.58998570793851488152869067550 EK(1291)plus = 9.09406540110894688494739131866 gammaK3(1291) = 6.05782130452758718942529304840 gammaK3(1291)plus = 3.41709673356156034663919357780 gammaK5(1291) = 6.95367724572641245617918808562 gammaK5(1291)plus = 6.69613711142595705719207371099 Theorem 4: I1(1291) = 0.569770937815413489529959043984 Theorem 4: I1prime(1291) = 0.575323784630023289917296548628 Theorem 4: I3(1291) = 0.575397234647090666875720388660 Theorem 4: I3prime(1291) = 0.580950081461700467263057893303 Theorem 4: I5(1291) = 0.552238340002540180534448924032 Theorem 4: I5prime(1291) = 0.557791186817149980921786428675 --------- EK(1297) = 7.83019482505680789292905966166 EK(1297)plus = 6.94340525468050550848206021278 gammaK2(1297) = 6.94340525468050550848206021278 gammaK2(1297)plus = 7.06297248988770035877236392979 gammaK3(1297) = 7.74176309821579023614830295596 gammaK3(1297)plus = 6.73914374501354902948940173110 gammaK4(1297) = 7.06297248988770035877236392979 gammaK4(1297)plus = 5.60229655814019497706574056170 gammaK6(1297) = 6.73914374501354902948940173110 gammaK6(1297)plus = 6.44121955759550041047161886955 Theorem 4: I1(1297) = 0.572538082801789488494891660660 Theorem 4: I1prime(1297) = 0.578068799764996621119907428807 Theorem 4: I2(1297) = 0.566122963602060480449586652714 Theorem 4: I2prime(1297) = 0.571653680565267613074602420861 Theorem 4: I3(1297) = 0.563923870668258520431846543151 Theorem 4: I3prime(1297) = 0.569454587631465653056862311298 Theorem 4: I4(1297) = 0.564415815076360339841128963657 Theorem 4: I4prime(1297) = 0.569946532039567472466144731804 Theorem 4: I6(1297) = 0.548748877461066847069109998526 Theorem 4: I6prime(1297) = 0.554279594424273979694125766673 --------- EK(1301) = 10.5047473391662737107228582694 EK(1301)plus = 9.38081541757830297471613225168 gammaK2(1301) = 9.38081541757830297471613225168 gammaK2(1301)plus = 7.34528308395239200345956209477 gammaK5(1301) = -0.472999947138133405837180368173 gammaK5(1301)plus = 0.994027634568003506225658009528 Theorem 4: I1(1301) = 0.570859972929186147934561224291 Theorem 4: I1prime(1301) = 0.576376040989580382761280518514 Theorem 4: I2(1301) = 0.569038331334783821734158688187 Theorem 4: I2prime(1301) = 0.574554399395178056560877982410 Theorem 4: I5(1301) = 0.567728852269476958094530491308 Theorem 4: I5prime(1301) = 0.573244920329871192921249785531 --------- EK(1303) = 10.3200519392202746897355324309 EK(1303)plus = 9.49674328985293089639032102021 gammaK3(1303) = 9.12834390443752207111664101244 gammaK3(1303)plus = 7.72914914612370630449417095943 Theorem 4: I1(1303) = 0.570549809743988777857012599448 Theorem 4: I1prime(1303) = 0.576058584380797414660239796220 Theorem 4: I3(1303) = 0.562617823513406825641823315651 Theorem 4: I3prime(1303) = 0.568126598150215462445050512423 --------- EK(1307) = 9.00699188135077576137948044171 EK(1307)plus = 7.54489123944930963140279377968 Theorem 4: I1(1307) = 0.572553884773703061144721822845 Theorem 4: I1prime(1307) = 0.578048134171577656816703716951 --------- EK(1319) = 9.23540471824460801657048093559 EK(1319)plus = 9.21555397204704238649025379405 Theorem 4: I1(1319) = 0.570234515898455171460805169143 Theorem 4: I1prime(1319) = 0.575685676105372709092500315285 --------- EK(1321) = 9.25945847503190827267274331303 EK(1321)plus = 9.07140302361730578255267700658 gammaK2(1321) = 9.07140302361730578255267700658 gammaK2(1321)plus = 1.73778424368690591847553072030 gammaK3(1321) = 7.46042450810486771792405618134 gammaK3(1321)plus = 6.17233058344275579027400998491 gammaK4(1321) = 1.73778424368690591847553072030 gammaK4(1321)plus = 4.49503968581674807298520215890 gammaK5(1321) = 8.49875916806180817088803748428 gammaK5(1321)plus = 5.76984915845040990384187459925 gammaK6(1321) = 6.17233058344275579027400998491 gammaK6(1321)plus = 0.676129192681098164272313987137 Theorem 4: I1(1321) = 0.570481731855382670827282365721 Theorem 4: I1prime(1321) = 0.575925780570929886977907822317 Theorem 4: I2(1321) = 0.585685953518999446560225711460 Theorem 4: I2prime(1321) = 0.591130002234546662710851168056 Theorem 4: I3(1321) = 0.566102754202677880882024387253 Theorem 4: I3prime(1321) = 0.571546802918225097032649843848 Theorem 4: I4(1321) = 0.555222515881344565322737850525 Theorem 4: I4prime(1321) = 0.560666564596891781473363307120 Theorem 4: I5(1321) = 0.565676334607765592224139600799 Theorem 4: I5prime(1321) = 0.571120383323312808374765057395 Theorem 4: I6(1321) = 0.599100338307737461722779165328 Theorem 4: I6prime(1321) = 0.604544387023284677873404621924 --------- EK(1327) = 5.62277449720494336613348884399 EK(1327)plus = 6.94068039325629959625642692832 gammaK3(1327) = -1.57066389141993033167068871656 gammaK3(1327)plus = 3.29159514842118851164070345772 Theorem 4: I1(1327) = 0.570983380495867149516052787244 Theorem 4: I1prime(1327) = 0.576406213100944229085723337819 Theorem 4: I3(1327) = 0.558755762139389456908499044420 Theorem 4: I3prime(1327) = 0.564178594744466536478169594995 --------- EK(1361) = 6.87763498424841836123186085402 EK(1361)plus = 7.47645163137817767656698560961 gammaK2(1361) = 7.47645163137817767656698560961 gammaK2(1361)plus = 7.21444056092937888308216195768 gammaK4(1361) = 7.21444056092937888308216195768 gammaK4(1361)plus = 6.78141778596323002528047890073 gammaK5(1361) = 0.0881509333068174051742627762049 gammaK5(1361)plus = 3.25688215854973802989052375353 Theorem 4: I1(1361) = 0.571274066267356040875187117689 Theorem 4: I1prime(1361) = 0.576579930239893883575039207232 Theorem 4: I2(1361) = 0.566983701144984157764898574795 Theorem 4: I2prime(1361) = 0.572289565117522000464750664338 Theorem 4: I4(1361) = 0.558528309386916334105986654984 Theorem 4: I4prime(1361) = 0.563834173359454176805838744527 Theorem 4: I5(1361) = 0.553572579431807873484061219419 Theorem 4: I5prime(1361) = 0.558878443404345716183913308962 --------- EK(1367) = 7.40585335408862801286595245223 EK(1367)plus = 8.19741305487076693654024329130 Theorem 4: I1(1367) = 0.570631288229168349677736973092 Theorem 4: I1prime(1367) = 0.575917067026184418170012651117 --------- EK(1373) = 9.82030897317168161740483411420 EK(1373)plus = 8.63975070340806543534723796825 gammaK2(1373) = 8.63975070340806543534723796825 gammaK2(1373)plus = 7.61118290725201102125046974173 Theorem 4: I1(1373) = 0.571775097635573336754544162061 Theorem 4: I1prime(1373) = 0.577040952887590808364899584870 Theorem 4: I2(1373) = 0.567612339877701994602482852563 Theorem 4: I2prime(1373) = 0.572878195129719466212838275372 --------- EK(1381) = 8.13904317388726502320420802741 EK(1381)plus = 8.19877529335985519123204694966 gammaK2(1381) = 8.19877529335985519123204694966 gammaK2(1381)plus = 7.58774949087461811915084792989 gammaK3(1381) = 8.94765419448019438099435293625 gammaK3(1381)plus = 7.86620463611633663031922321025 gammaK5(1381) = -5.71893825331253162526852470933 gammaK5(1381)plus = 0.788575550394124503753818483074 gammaK6(1381) = 7.86620463611633663031922321025 gammaK6(1381)plus = 7.59295341288969842531822862640 Theorem 4: I1(1381) = 0.571227442473018796393165630202 Theorem 4: I1prime(1381) = 0.576466980989982051551394393338 Theorem 4: I2(1381) = 0.567096877616161347125022412295 Theorem 4: I2prime(1381) = 0.572336416133124602283251175431 Theorem 4: I3(1381) = 0.562454807040077551617811389545 Theorem 4: I3prime(1381) = 0.567694345557040806776040152681 Theorem 4: I5(1381) = 0.550761574710888861012546907334 Theorem 4: I5prime(1381) = 0.556001113227852116170775670470 Theorem 4: I6(1381) = 0.545368092170315367234879643101 Theorem 4: I6prime(1381) = 0.550607630687278622393108406237 --------- EK(1399) = 9.92380031386585891608556267098 EK(1399)plus = 7.28208484905204514435496287130 gammaK3(1399) = 8.20982190693459823106187217502 gammaK3(1399)plus = 6.05678978415884911261437153811 Theorem 4: I1(1399) = 0.573892667244886786949221042712 Theorem 4: I1prime(1399) = 0.579074006997866387217742194621 Theorem 4: I3(1399) = 0.568827383783215093236479059926 Theorem 4: I3prime(1399) = 0.574008723536194693505000211835 --------- EK(1409) = 4.31537475804842443869134375442 EK(1409)plus = 7.25554167332472660131837548388 gammaK2(1409) = 7.25554167332472660131837548388 gammaK2(1409)plus = 6.48543002538335865623533194383 gammaK4(1409) = 6.48543002538335865623533194383 gammaK4(1409)plus = 0.565794003988460353355398406988 Theorem 4: I1(1409) = 0.569970737211414832143018127389 Theorem 4: I1prime(1409) = 0.575120336296570144797110386238 Theorem 4: I2(1409) = 0.569090000162147710004514390278 Theorem 4: I2prime(1409) = 0.574239599247303022658606649127 Theorem 4: I4(1409) = 0.592410813817218322643075848239 Theorem 4: I4prime(1409) = 0.597560412902373635297168107088 --------- EK(1423) = 4.53293143210490976614652921601 EK(1423)plus = 6.29411404910394908434333560404 gammaK3(1423) = 2.74189852427740381736031847974 gammaK3(1423)plus = 4.47496723882606071093820777199 Theorem 4: I1(1423) = 0.571547308699813970906192406985 Theorem 4: I1prime(1423) = 0.576653161441086722220639779234 Theorem 4: I3(1423) = 0.564107770795802923146953979457 Theorem 4: I3prime(1423) = 0.569213623537075674461401351705 --------- EK(1427) = 8.05647237456407880645838662279 EK(1427)plus = 9.01877302941793354665653194237 Theorem 4: I1(1427) = 0.570212742613102091355499699386 Theorem 4: I1prime(1427) = 0.575306241643590756444491570063 --------- EK(1429) = 7.77977441788062761795947164115 EK(1429)plus = 6.53936452585932333644629901757 gammaK2(1429) = 6.53936452585932333644629901757 gammaK2(1429)plus = 4.49330915661558067128837174856 gammaK3(1429) = 7.33722107381956488563050298495 gammaK3(1429)plus = 6.18527177911959047925116483279 gammaK6(1429) = 6.18527177911959047925116483279 gammaK6(1429)plus = 4.60753527308205396739509563527 Theorem 4: I1(1429) = 0.573501349789557373805001801172 Theorem 4: I1prime(1429) = 0.578588695852533471428567971764 Theorem 4: I2(1429) = 0.573781013454145165783327201217 Theorem 4: I2prime(1429) = 0.578868359517121263406893371809 Theorem 4: I3(1429) = 0.566630770299678675374378911824 Theorem 4: I3prime(1429) = 0.571718116362654772997945082416 Theorem 4: I6(1429) = 0.564464042577551795257089432064 Theorem 4: I6prime(1429) = 0.569551388640527892880655602657 --------- EK(1433) = 8.25145875245155908163668958086 EK(1433)plus = 8.27236872240399466512063459322 gammaK2(1433) = 8.27236872240399466512063459322 gammaK2(1433)plus = 8.88293661358731291252971028724 gammaK4(1433) = 8.88293661358731291252971028724 gammaK4(1433)plus = 7.15191966973966687842907008637 Theorem 4: I1(1433) = 0.571420725111067989285464528640 Theorem 4: I1prime(1433) = 0.576495812700333472420992908809 Theorem 4: I2(1433) = 0.563949492286505071998866399633 Theorem 4: I2prime(1433) = 0.569024579875770555134394779803 Theorem 4: I4(1433) = 0.562059302294043233993484273698 Theorem 4: I4prime(1433) = 0.567134389883308717129012653867 --------- EK(1439) = 5.12520331015261497912833419976 EK(1439)plus = 7.07031585764311843913415433147 Theorem 4: I1(1439) = 0.570942726638158526924290309049 Theorem 4: I1prime(1439) = 0.575999544236828462819236971473 --------- EK(1447) = 10.0356496754843178900780948054 EK(1447)plus = 9.66791880023035187513783286474 gammaK3(1447) = 9.32441621260434907029687740213 gammaK3(1447)plus = 6.50285814056673505639423541338 Theorem 4: I1(1447) = 0.570780519258550318296009439352 Theorem 4: I1prime(1447) = 0.575813194034920639085271472007 Theorem 4: I3(1447) = 0.569567671658160471886012389964 Theorem 4: I3prime(1447) = 0.574600346434530792675274422619 --------- EK(1451) = 3.59285480618263396505940408042 EK(1451)plus = 7.05620540358426026590020624233 gammaK5(1451) = 5.17320685403729055064175961364 gammaK5(1451)plus = 5.38015732132595047384454299479 Theorem 4: I1(1451) = 0.569957336145441341125122785810 Theorem 4: I1prime(1451) = 0.574978031492258022398605576591 Theorem 4: I5(1451) = 0.557932463232700353439888610197 Theorem 4: I5prime(1451) = 0.562953158579517034713371400978 --------- EK(1453) = 6.61391089533784025181417514410 EK(1453)plus = 7.69522290806700269279129138835 gammaK2(1453) = 7.69522290806700269279129138835 gammaK2(1453)plus = 8.01824352758898852221126007060 gammaK3(1453) = 7.35002886907691674794674075555 gammaK3(1453)plus = 7.23096668374584715725827108148 gammaK6(1453) = 7.23096668374584715725827108148 gammaK6(1453)plus = 6.26288523432132086953609427666 Theorem 4: I1(1453) = 0.571167765694084787625985818435 Theorem 4: I1prime(1453) = 0.576182494112521621581724617184 Theorem 4: I2(1453) = 0.565719413006864250158045192628 Theorem 4: I2prime(1453) = 0.570734141425301084113783991377 Theorem 4: I3(1453) = 0.562511286333695640770715519409 Theorem 4: I3prime(1453) = 0.567526014752132474726454318157 Theorem 4: I6(1453) = 0.555315588400230251450439130287 Theorem 4: I6prime(1453) = 0.560330316818667085406177929035 --------- EK(1459) = 7.68282436814259528817777554458 EK(1459)plus = 5.64211729826196793033256618823 gammaK3(1459) = 7.32387900699463167016943076151 gammaK3(1459)plus = 6.78359451265649219941439576142 Theorem 4: I1(1459) = 0.574742134622758491795895031406 Theorem 4: I1prime(1459) = 0.579739052694447645188209749738 Theorem 4: I3(1459) = 0.564359066266985449326570370988 Theorem 4: I3prime(1459) = 0.569355984338674602718885089320 --------- EK(1471) = 8.34628942043370256999817984383 EK(1471)plus = 9.01019818258302421240892433436 gammaK3(1471) = -2.66381473140526984581401307801 gammaK3(1471)plus = 1.78260121608930158444942290657 gammaK5(1471) = 7.53164863811099108903042975540 gammaK5(1471)plus = 5.66106773163871678624753081630 Theorem 4: I1(1471) = 0.570631264463531495506737479230 Theorem 4: I1prime(1471) = 0.575592963593192337355746607672 Theorem 4: I3(1471) = 0.564493259059260342531896032900 Theorem 4: I3prime(1471) = 0.569454958188921184380905161342 Theorem 4: I5(1471) = 0.564305976043382849295921474417 Theorem 4: I5prime(1471) = 0.569267675173043691144930602859 --------- EK(1481) = 5.63145145084987739717213205633 EK(1481)plus = 6.71729253383673427642038430070 gammaK2(1481) = 6.71729253383673427642038430070 gammaK2(1481)plus = 7.52466596696322382655084937193 gammaK4(1481) = 7.52466596696322382655084937193 gammaK4(1481)plus = 7.49855293466237169033624906729 gammaK5(1481) = 7.39991709973773359802211178444 gammaK5(1481)plus = 5.89918936463857565385342936547 Theorem 4: I1(1481) = 0.571939944382123993409117968500 Theorem 4: I1prime(1481) = 0.576872696283656289883781364898 Theorem 4: I2(1481) = 0.565949486317760906994139147056 Theorem 4: I2prime(1481) = 0.570882238219293203468802543454 Theorem 4: I4(1481) = 0.557006549619740828577873408571 Theorem 4: I4prime(1481) = 0.561939301521273125052536804969 Theorem 4: I5(1481) = 0.562339332531799921396514082167 Theorem 4: I5prime(1481) = 0.567272084433332217871177478565 --------- EK(1483) = 8.72758225726439215313834211544 EK(1483)plus = 8.68598262652724121688688014773 gammaK3(1483) = 7.84826154185971332471924529663 gammaK3(1483)plus = 8.08427177845256375152064165252 Theorem 4: I1(1483) = 0.571379423335123236285147417576 Theorem 4: I1prime(1483) = 0.576306428964096199912173891780 Theorem 4: I3(1483) = 0.560363015062111024286777141737 Theorem 4: I3prime(1483) = 0.565290020691083987913803615940 --------- EK(1487) = 7.76431965734301735103354148069 EK(1487)plus = 8.70071729833447577635903762241 Theorem 4: I1(1487) = 0.570727084487572868658887628372 Theorem 4: I1prime(1487) = 0.575642640306186701144303965737 --------- EK(1489) = 9.08845015493971856008184530212 EK(1489)plus = 8.74205813995854100162419999037 gammaK2(1489) = 8.74205813995854100162419999037 gammaK2(1489)plus = 7.21230786317345111421077820613 gammaK3(1489) = 6.97530939473835838565786408958 gammaK3(1489)plus = 6.67288961352710255720090084670 gammaK4(1489) = 7.21230786317345111421077820613 gammaK4(1489)plus = 4.31312802909361313186040840300 gammaK6(1489) = 6.67288961352710255720090084670 gammaK6(1489)plus = 6.37475190398252244759414588190 Theorem 4: I1(1489) = 0.571570116529792359170102912812 Theorem 4: I1prime(1489) = 0.576479968702295053380404013019 Theorem 4: I2(1489) = 0.569571219419596215551394270832 Theorem 4: I2prime(1489) = 0.574481071592098909761695371039 Theorem 4: I3(1489) = 0.564362076827967639995717253986 Theorem 4: I3prime(1489) = 0.569271929000470334206018354193 Theorem 4: I4(1489) = 0.573401530366085877155650961856 Theorem 4: I4prime(1489) = 0.578311382538588571365952062063 Theorem 4: I6(1489) = 0.552693390520039130637973009367 Theorem 4: I6prime(1489) = 0.557603242692541824848274109575 --------- EK(1493) = 9.79004803565318393309240612724 EK(1493)plus = 9.44194051042255602669816560377 gammaK2(1493) = 9.44194051042255602669816560377 gammaK2(1493)plus = 6.78387154450629211987368949176 Theorem 4: I1(1493) = 0.571117319410700658142486357052 Theorem 4: I1prime(1493) = 0.576015806540418614164954958762 Theorem 4: I2(1493) = 0.571678532105661887189525921206 Theorem 4: I2prime(1493) = 0.576577019235379843211994522917 --------- EK(1499) = 4.88185130370127593135473142768 EK(1499)plus = 7.40836571501446104628496688993 Theorem 4: I1(1499) = 0.570580309981159761205974323965 Theorem 4: I1prime(1499) = 0.575461854372416501996345615643 --------- EK(1511) = 4.62998928736330924547279654475 EK(1511)plus = 5.51598916041510003148091838613 gammaK5(1511) = 4.49543955675634133007515442925 gammaK5(1511)plus = 3.76227650868712911988507094753 Theorem 4: I1(1511) = 0.572972726448176745579110793300 Theorem 4: I1prime(1511) = 0.577820757549019619466028706759 Theorem 4: I5(1511) = 0.567169434796503854700611741144 Theorem 4: I5prime(1511) = 0.572017465897346728587529654603 --------- EK(1523) = 9.82358016643601785961116963806 EK(1523)plus = 8.29585597694570588650867480149 Theorem 4: I1(1523) = 0.572765634157586429421140217091 Theorem 4: I1prime(1523) = 0.577580638988660780150950945050 --------- EK(1531) = 8.44399688955977585182618076647 EK(1531)plus = 6.96786808935238269214496256151 gammaK3(1531) = 7.72205535508097071422329007409 gammaK3(1531)plus = 4.21615138953475995990728155042 gammaK5(1531) = 7.36248754616761231768741119136 gammaK5(1531)plus = 4.01401356058402195339204324373 Theorem 4: I1(1531) = 0.573623159972322944903823502224 Theorem 4: I1prime(1531) = 0.578416412518504437553618568713 Theorem 4: I3(1531) = 0.575813624359307898453098231076 Theorem 4: I3prime(1531) = 0.580606876905489391102893297565 Theorem 4: I5(1531) = 0.575025034746151772104072644453 Theorem 4: I5prime(1531) = 0.579818287292333264753867710942 --------- EK(1543) = 8.00500089257832137731775953728 EK(1543)plus = 7.10649517918566286786551137936 gammaK3(1543) = 6.41663222081116173143435240055 gammaK3(1543)plus = 7.21818979182350367147540602668 Theorem 4: I1(1543) = 0.573186643838002091412633867090 Theorem 4: I1prime(1543) = 0.577947658009443829959590499939 Theorem 4: I3(1543) = 0.561603780899573157590824509760 Theorem 4: I3prime(1543) = 0.566364795071014896137781142609 --------- EK(1549) = 7.69179374368745123879177445316 EK(1549)plus = 7.48395194663556387745975939833 gammaK2(1549) = 7.48395194663556387745975939833 gammaK2(1549)plus = 6.98283532272279726094912201060 gammaK3(1549) = 7.20993954396159389251633035874 gammaK3(1549)plus = 7.69826115150196911891784714004 gammaK6(1549) = 7.69826115150196911891784714004 gammaK6(1549)plus = 7.58982122950002963266411364116 Theorem 4: I1(1549) = 0.572512270058309317969352175531 Theorem 4: I1prime(1549) = 0.577257337784676804165155558269 Theorem 4: I2(1549) = 0.568835220758720976716803707646 Theorem 4: I2prime(1549) = 0.573580288485088462912607090385 Theorem 4: I3(1549) = 0.561340998570585744653963316237 Theorem 4: I3prime(1549) = 0.566086066296953230849766698976 Theorem 4: I6(1549) = 0.548199671199112482185557890373 Theorem 4: I6prime(1549) = 0.552944738925479968381361273112 --------- EK(1553) = 8.27063670468440284491619523973 EK(1553)plus = 7.51304486999987478254733251542 gammaK2(1553) = 7.51304486999987478254733251542 gammaK2(1553)plus = 6.87036034624354978643012279927 gammaK4(1553) = 6.87036034624354978643012279927 gammaK4(1553)plus = 6.64196673303323444173785854089 Theorem 4: I1(1553) = 0.572859873963903095057575211344 Theorem 4: I1prime(1553) = 0.577594373849952506829141222270 Theorem 4: I2(1553) = 0.569184208300536373232691885064 Theorem 4: I2prime(1553) = 0.573918708186585785004257895990 Theorem 4: I4(1553) = 0.560673634953829333521931780048 Theorem 4: I4prime(1553) = 0.565408134839878745293497790974 --------- EK(1559) = 3.97546458934909883519214667744 EK(1559)plus = 6.37268225763334003731925047538 Theorem 4: I1(1559) = 0.571583688863143624650315648811 Theorem 4: I1prime(1559) = 0.576302430755992004958016876974 --------- EK(1567) = 5.81101028605794247899875447834 EK(1567)plus = 7.48400771699580370915132899714 gammaK3(1567) = 4.03754780055401799199707467908 gammaK3(1567)plus = 6.21154703410500745825361384459 Theorem 4: I1(1567) = 0.571365279810662499486112808051 Theorem 4: I1prime(1567) = 0.576063184179983074727484953644 Theorem 4: I3(1567) = 0.561142400204166351986298440359 Theorem 4: I3prime(1567) = 0.565840304573486927227670585953 --------- EK(1571) = 8.93778151499377132354300775638 EK(1571)plus = 9.34240903883084988096202139713 gammaK5(1571) = 8.59206322954485893955252626096 gammaK5(1571)plus = 3.58919636743339613311569927733 Theorem 4: I1(1571) = 0.571004375652059493220648457479 Theorem 4: I1prime(1571) = 0.575691934657317850645516607556 Theorem 4: I5(1571) = 0.581702871703038619574334572745 Theorem 4: I5prime(1571) = 0.586390430708296976999202722823 --------- EK(1579) = 6.99795835704506501923629071914 EK(1579)plus = 7.84736618497330540867742254564 gammaK3(1579) = 7.21533796248686688818541106841 gammaK3(1579)plus = 8.13467468572595049795453165908 Theorem 4: I1(1579) = 0.571701443718884847562967500768 Theorem 4: I1prime(1579) = 0.576368457035903632157775067309 Theorem 4: I3(1579) = 0.559993842805939604157237451648 Theorem 4: I3prime(1579) = 0.564660856122958388752045018190 --------- EK(1583) = 5.73966855433405310161179341891 EK(1583)plus = 7.02327251850648629008002399444 Theorem 4: I1(1583) = 0.571961851187892070960026253544 Theorem 4: I1prime(1583) = 0.576618663488701813152365086691 --------- EK(1597) = 6.96476792166513327524854606473 EK(1597)plus = 8.04759422287196680742163747969 gammaK2(1597) = 8.04759422287196680742163747969 gammaK2(1597)plus = 6.76826953312741902467779830835 gammaK3(1597) = 6.92785410017549772559806232992 gammaK3(1597)plus = 1.20618630558869440553476859249 gammaK6(1597) = 1.20618630558869440553476859249 gammaK6(1597)plus = 3.84994959780294242224263350608 Theorem 4: I1(1597) = 0.571491954372634651599334451331 Theorem 4: I1prime(1597) = 0.576113434415375887460117004634 Theorem 4: I2(1597) = 0.570331496576438108128072564155 Theorem 4: I2prime(1597) = 0.574952976619179343988855117458 Theorem 4: I3(1597) = 0.585694725068742198348368749089 Theorem 4: I3prime(1597) = 0.590316205111483434209151302393 Theorem 4: I6(1597) = 0.552785836442660937016995996199 Theorem 4: I6prime(1597) = 0.557407316485402172877778549503 --------- EK(1601) = 4.27326464988516000764576285702 EK(1601)plus = 6.73447986801891544347537699779 gammaK2(1601) = 6.73447986801891544347537699779 gammaK2(1601)plus = 8.00947081065852884355347747384 gammaK4(1601) = 8.00947081065852884355347747384 gammaK4(1601)plus = 5.35353521714814394944420050808 gammaK5(1601) = -4.58277816273929016462724744479 gammaK5(1601)plus = 1.37527511907011102106483181371 Theorem 4: I1(1601) = 0.571465473291549551965272201423 Theorem 4: I1prime(1601) = 0.576076963112172498644102917684 Theorem 4: I2(1601) = 0.565604323347634404118624079250 Theorem 4: I2prime(1601) = 0.570215813168257350797454795511 Theorem 4: I4(1601) = 0.570460137117886905601477704436 Theorem 4: I4prime(1601) = 0.575071626938509852280308420697 Theorem 4: I5(1601) = 0.554284602743094938252025396993 Theorem 4: I5prime(1601) = 0.558896092563717884930856113255 --------- EK(1607) = 8.23617169152292026281621855426 EK(1607)plus = 7.30608395949908589176027506860 Theorem 4: I1(1607) = 0.573242693034789766351144392023 Theorem 4: I1prime(1607) = 0.577839283548947619767335892899 --------- EK(1609) = 8.56358313917407132358401475640 EK(1609)plus = 6.95699978241662895198159620412 gammaK2(1609) = 6.95699978241662895198159620412 gammaK2(1609)plus = 2.70463730986942618294776115531 gammaK3(1609) = 8.04454388876984431736755702294 gammaK3(1609)plus = 1.19196927125744530007380127753 gammaK4(1609) = 2.70463730986942618294776115531 gammaK4(1609)plus = 4.89488284378457114631842056461 gammaK6(1609) = 1.19196927125744530007380127753 gammaK6(1609)plus = 1.00387648600730455199501638171 Theorem 4: I1(1609) = 0.573885436000713974469543382371 Theorem 4: I1prime(1609) = 0.578477082858296302336047731154 Theorem 4: I2(1609) = 0.579134985194841559932655833297 Theorem 4: I2prime(1609) = 0.583726632052423887799160182080 Theorem 4: I3(1609) = 0.587767929266080195288141661200 Theorem 4: I3prime(1609) = 0.592359576123662523154646009983 Theorem 4: I4(1609) = 0.559579545437459978921050437538 Theorem 4: I4prime(1609) = 0.564171192295042306787554786322 Theorem 4: I6(1609) = 0.574154562858194255637173523535 Theorem 4: I6prime(1609) = 0.578746209715776583503677872318 --------- EK(1613) = 9.15969323908259070464001305650 EK(1613)plus = 7.33045989949419068640246399659 gammaK2(1613) = 7.33045989949419068640246399659 gammaK2(1613)plus = -7.33371723281291595976403008458 Theorem 4: I1(1613) = 0.573800151034672703624008293112 Theorem 4: I1prime(1613) = 0.578381944507455091255214072479 Theorem 4: I2(1613) = 0.604502653203824721919538539693 Theorem 4: I2prime(1613) = 0.609084446676607109550744319060 --------- EK(1619) = 7.69295585724007942640326036967 EK(1619)plus = 7.81914802373517738356082438591 Theorem 4: I1(1619) = 0.572302248778014277509213400568 Theorem 4: I1prime(1619) = 0.576869346400806388220104633260 --------- EK(1621) = 10.4613754351246939516617798824 EK(1621)plus = 9.69028997862388551057003849821 gammaK2(1621) = 9.69028997862388551057003849821 gammaK2(1621)plus = 7.87830231455494187365176686193 gammaK3(1621) = 9.19001007397174576846747896236 gammaK3(1621)plus = 8.68075555364565101789672491172 gammaK5(1621) = 1.39500964842230234706255145722 gammaK5(1621)plus = 3.94344702407931356251989179428 gammaK6(1621) = 8.68075555364565101789672491172 gammaK6(1621)plus = 1.16431715541204381164075871290 Theorem 4: I1(1621) = 0.571707166911759533168371025149 Theorem 4: I1prime(1621) = 0.576269388221472913478599102579 Theorem 4: I2(1621) = 0.569720755183266549968186505758 Theorem 4: I2prime(1621) = 0.574282976492979930278414583187 Theorem 4: I3(1621) = 0.562074807022589768666445055011 Theorem 4: I3prime(1621) = 0.566637028332303148976673132440 Theorem 4: I5(1621) = 0.557164903725464841599452027710 Theorem 4: I5prime(1621) = 0.561727125035178221909680105139 Theorem 4: I6(1621) = 0.600725142758984156955789791595 Theorem 4: I6prime(1621) = 0.605287364068697537266017869025 --------- EK(1627) = 10.0282988568223471889081490066 EK(1627)plus = 7.93765192749414002886235155288 gammaK3(1627) = 9.25218967137194655738572350025 gammaK3(1627)plus = 8.83310526224068216304404981246 Theorem 4: I1(1627) = 0.573616924030128518692407852070 Theorem 4: I1prime(1627) = 0.578164582767655602209344760326 Theorem 4: I3(1627) = 0.561683250673032962355184944265 Theorem 4: I3prime(1627) = 0.566230909410560045872121852520 --------- EK(1637) = 10.5754119929119950191287609600 EK(1637)plus = 8.84947273796792056920728656610 gammaK2(1637) = 8.84947273796792056920728656610 gammaK2(1637)plus = 6.00286148124141143998927736651 Theorem 4: I1(1637) = 0.572858661790448673151699944268 Theorem 4: I1prime(1637) = 0.577382268500333229938558323963 Theorem 4: I2(1637) = 0.573351638212994001355218536847 Theorem 4: I2prime(1637) = 0.577875244922878558142076916542 --------- EK(1657) = 10.0330074959461766343397112810 EK(1657)plus = 7.10850288804696062401871003359 gammaK2(1657) = 7.10850288804696062401871003359 gammaK2(1657)plus = 6.11949698952140064941387428789 gammaK3(1657) = 8.18628324963045393479886641222 gammaK3(1657)plus = -8.92830941036000782223409696771 gammaK4(1657) = 6.11949698952140064941387428789 gammaK4(1657)plus = 1.49672089313305700321462999074 gammaK6(1657) = -8.92830941036000782223409696771 gammaK6(1657)plus = -0.797868593529319857001777413591 Theorem 4: I1(1657) = 0.574686392807981198212408920276 Theorem 4: I1prime(1657) = 0.579162699581789509149549333933 Theorem 4: I2(1657) = 0.571014013454951158932905593759 Theorem 4: I2prime(1657) = 0.575490320228759469870046007416 Theorem 4: I3(1657) = 0.624386726067432609281022814601 Theorem 4: I3prime(1657) = 0.628863032841240920218163228258 Theorem 4: I4(1657) = 0.584755710545207929041409370017 Theorem 4: I4prime(1657) = 0.589232017319016239978549783674 Theorem 4: I6(1657) = 0.550632155734593815609527733002 Theorem 4: I6prime(1657) = 0.555108462508402126546668146660 --------- EK(1663) = 6.59381333482469253347082033121 EK(1663)plus = 8.83129648016497063325304050895 gammaK3(1663) = 7.97773481139915012578936965414 gammaK3(1663)plus = 8.66086706116914479810385695488 Theorem 4: I1(1663) = 0.570553064452018293348159702291 Theorem 4: I1prime(1663) = 0.575015386039980343694567525424 Theorem 4: I3(1663) = 0.560341185420437009485998097160 Theorem 4: I3prime(1663) = 0.564803507008399059832405920293 --------- EK(1667) = 8.27623263559886758946890232843 EK(1667)plus = 9.75893138596063817151132207040 Theorem 4: I1(1667) = 0.570465314849869019640081391511 Theorem 4: I1prime(1667) = 0.574918364599419316159883398991 --------- EK(1669) = 9.00354192022849086088943616151 EK(1669)plus = 9.33005710977162020913347736551 gammaK2(1669) = 9.33005710977162020913347736551 gammaK2(1669)plus = 6.11085410118916736512850746035 gammaK3(1669) = 6.66936226901173482939321753391 gammaK3(1669)plus = 7.74682311912303572008060354151 gammaK6(1669) = 7.74682311912303572008060354151 gammaK6(1669)plus = 6.53718344201289003128004070862 Theorem 4: I1(1669) = 0.571423686047500739505988903700 Theorem 4: I1prime(1669) = 0.575872115258329177801145220561 Theorem 4: I2(1669) = 0.573743123508466262333827804864 Theorem 4: I2prime(1669) = 0.578191552719294700628984121726 Theorem 4: I3(1669) = 0.561336649796415657280858950036 Theorem 4: I3prime(1669) = 0.565785079007244095576015266897 Theorem 4: I6(1669) = 0.558035836865153102402286787231 Theorem 4: I6prime(1669) = 0.562484266075981540697443104093 --------- EK(1693) = 8.72537119305576525157209283092 EK(1693)plus = 9.44493056380810725103467031023 gammaK2(1693) = 9.44493056380810725103467031023 gammaK2(1693)plus = 6.38399773838662925287094077098 gammaK3(1693) = -1.28634390432609545738786794601 gammaK3(1693)plus = 3.36591699397528429573833215766 gammaK6(1693) = 3.36591699397528429573833215766 gammaK6(1693)plus = 4.59355451517222133351500592426 Theorem 4: I1(1693) = 0.571205686353247502563951593448 Theorem 4: I1prime(1693) = 0.575599455491624060079064108812 Theorem 4: I2(1693) = 0.573282498610630345462041258230 Theorem 4: I2prime(1693) = 0.577676267749006902977153773594 Theorem 4: I3(1693) = 0.562991247062144490737044634805 Theorem 4: I3prime(1693) = 0.567385016200521048252157150168 Theorem 4: I6(1693) = 0.556557559208243729653296514883 Theorem 4: I6prime(1693) = 0.560951328346620287168409030247 --------- EK(1697) = 9.53697322070886771712400041017 EK(1697)plus = 9.27588308494435641552098225781 gammaK2(1697) = 9.27588308494435641552098225781 gammaK2(1697)plus = 5.08767070336437492361916337094 gammaK4(1697) = 5.08767070336437492361916337094 gammaK4(1697)plus = 3.55108110995162648879114786629 Theorem 4: I1(1697) = 0.571897753494047207787337039208 Theorem 4: I1prime(1697) = 0.576282551409869275190259217220 Theorem 4: I2(1697) = 0.576149812166037323461323096377 Theorem 4: I2prime(1697) = 0.580534610081859390864245274389 Theorem 4: I4(1697) = 0.572454164159894416924044980319 Theorem 4: I4prime(1697) = 0.576838962075716484326967158331 --------- EK(1699) = 8.81903594960603013703900112032 EK(1699)plus = 8.04577500178444150446318226734 gammaK3(1699) = -3.17815120149588629695261344390 gammaK3(1699)plus = 1.86919259973980320937286175813 Theorem 4: I1(1699) = 0.572930096950478895604906806385 Theorem 4: I1prime(1699) = 0.577310423877258596443315109912 Theorem 4: I3(1699) = 0.564987896831034146089662716825 Theorem 4: I3prime(1699) = 0.569368223757813846928071020352 --------- EK(1709) = 9.23562003201934920015822115109 EK(1709)plus = 8.91517861454247397174679844249 gammaK2(1709) = 8.91517861454247397174679844249 gammaK2(1709)plus = 5.34378704297685284636595435420 Theorem 4: I1(1709) = 0.572181065771570279830652737584 Theorem 4: I1prime(1709) = 0.576539182682059501663051070834 Theorem 4: I2(1709) = 0.575135157186870423905320628022 Theorem 4: I2prime(1709) = 0.579493274097359645737718961272 --------- EK(1721) = 10.0997547217097467099288959789 EK(1721)plus = 8.14618716367869837802334257677 gammaK2(1721) = 8.14618716367869837802334257677 gammaK2(1721)plus = 7.19853488798958758971350410965 gammaK4(1721) = 7.19853488798958758971350410965 gammaK4(1721)plus = 5.81111098338382031759557479875 gammaK5(1721) = 7.29987531294758928026521277929 gammaK5(1721)plus = 6.17823138678357912981761618876 Theorem 4: I1(1721) = 0.573612786189218714575298897917 Theorem 4: I1prime(1721) = 0.577944565721899842144200247553 Theorem 4: I2(1721) = 0.569942159794750118828637012185 Theorem 4: I2prime(1721) = 0.574273939327431246397538361821 Theorem 4: I4(1721) = 0.566917946626391618343613143949 Theorem 4: I4prime(1721) = 0.571249726159072745912514493585 Theorem 4: I5(1721) = 0.562503690366206552156108250118 Theorem 4: I5prime(1721) = 0.566835469898887679725009599754 --------- EK(1723) = 8.89920721322963551000319169375 EK(1723)plus = 8.11840127213254876701287646571 gammaK3(1723) = -44.6169627395482452133323785467 gammaK3(1723)plus = -18.2486120438170801130993118381 Theorem 4: I1(1723) = 0.572952062837690208929644565937 Theorem 4: I1prime(1723) = 0.577279485739274372472959907483 Theorem 4: I3(1723) = 0.563062239684083959647144371943 Theorem 4: I3prime(1723) = 0.567389662585668123190459713490 --------- EK(1733) = 4.41836691226568492848535789641 EK(1733)plus = 7.00033369449112252446676201680 gammaK2(1733) = 7.00033369449112252446676201680 gammaK2(1733)plus = 5.50431604918145277448175944961 Theorem 4: I1(1733) = 0.571680672837010809401275996574 Theorem 4: I1prime(1733) = 0.575986451872643376422023816154 Theorem 4: I2(1733) = 0.572582172773464251378431830611 Theorem 4: I2prime(1733) = 0.576887951809096818399179650191 --------- EK(1741) = 10.7694421444504272667320530565 EK(1741)plus = 8.51033114522470041654339801221 gammaK2(1741) = 8.51033114522470041654339801221 gammaK2(1741)plus = -21.9073359860005085359760298848 gammaK3(1741) = 8.85943296073924091521371071037 gammaK3(1741)plus = 8.15718782417860893299070122077 gammaK5(1741) = 0.886348682678718809578898523255 gammaK5(1741)plus = 1.09310964903673551966878897154 gammaK6(1741) = 8.15718782417860893299070122077 gammaK6(1741)plus = -1.80163403253299319905176256052 Theorem 4: I1(1741) = 0.573620544915742801749827168196 Theorem 4: I1prime(1741) = 0.577909174191471646026848282800 Theorem 4: I2(1741) = 0.637354417186532847553889603493 Theorem 4: I2prime(1741) = 0.641643046462261691830910718097 Theorem 4: I3(1741) = 0.564354921251716126477124654141 Theorem 4: I3prime(1741) = 0.568643550527444970754145768745 Theorem 4: I5(1741) = 0.573468080865123432232846283949 Theorem 4: I5prime(1741) = 0.577756710140852276509867398553 Theorem 4: I6(1741) = 0.617754172694528951940364521900 Theorem 4: I6prime(1741) = 0.622042801970257796217385636504 --------- EK(1747) = 8.89482767168105247340154336614 EK(1747)plus = 9.01806482814581203083388640815 gammaK3(1747) = 7.75614816693231151722587733336 gammaK3(1747)plus = 8.17935017526845100772137721309 Theorem 4: I1(1747) = 0.571977647807169507404600856329 Theorem 4: I1prime(1747) = 0.576253509955012609675385539679 Theorem 4: I3(1747) = 0.562427300561752046859969715897 Theorem 4: I3prime(1747) = 0.566703162709595149130754399247 --------- EK(1753) = 8.00249114201514926332832796115 EK(1753)plus = 9.04825221320626629901640437426 gammaK2(1753) = 9.04825221320626629901640437426 gammaK2(1753)plus = 7.64566738814969609784646634940 gammaK3(1753) = 5.22806627716573884853861265414 gammaK3(1753)plus = 5.39856679776892093078095351872 gammaK4(1753) = 7.64566738814969609784646634940 gammaK4(1753)plus = 8.35606229947495588926695430467 gammaK6(1753) = 5.39856679776892093078095351872 gammaK6(1753)plus = 4.06968214929868630618295174157 Theorem 4: I1(1753) = 0.571451808474517571870318614354 Theorem 4: I1prime(1753) = 0.575714984207920102976807302290 Theorem 4: I2(1753) = 0.570083991683694357835070289840 Theorem 4: I2prime(1753) = 0.574347167417096888941558977775 Theorem 4: I3(1753) = 0.567672290767790556592591228659 Theorem 4: I3prime(1753) = 0.571935466501193087699079916594 Theorem 4: I4(1753) = 0.556506257626341951447165215772 Theorem 4: I4prime(1753) = 0.560769433359744482553653903707 Theorem 4: I6(1753) = 0.567814772173581305083596204287 Theorem 4: I6prime(1753) = 0.572077947906983836190084892222 --------- EK(1759) = 9.97175399245918877825211297937 EK(1759)plus = 7.19581975352684530118268116007 gammaK3(1759) = 6.67486957512307930296419153562 gammaK3(1759)plus = 3.10426440967134509943782343520 Theorem 4: I1(1759) = 0.574699091474999104384359533008 Theorem 4: I1prime(1759) = 0.578949660726840718815305528839 Theorem 4: I3(1759) = 0.578004214707895569633231541737 Theorem 4: I3prime(1759) = 0.582254783959737184064177537568 --------- EK(1777) = 5.65249982549309814196231816539 EK(1777)plus = 7.61274431858708864277127373540 gammaK2(1777) = 7.61274431858708864277127373540 gammaK2(1777)plus = 6.59481598417297396622173445461 gammaK3(1777) = 8.27790404814032067573942129731 gammaK3(1777)plus = 8.74669226094846555347284525798 gammaK4(1777) = 6.59481598417297396622173445461 gammaK4(1777)plus = -0.0618482762353841477833946805077 gammaK6(1777) = 8.74669226094846555347284525798 gammaK6(1777)plus = 6.36343665095911340843893836633 Theorem 4: I1(1777) = 0.571823096189015312058069750042 Theorem 4: I1prime(1777) = 0.576036317939102390511436357166 Theorem 4: I2(1777) = 0.570930641397581344426190511500 Theorem 4: I2prime(1777) = 0.575143863147668422879557118625 Theorem 4: I3(1777) = 0.561641857983447222921276218755 Theorem 4: I3prime(1777) = 0.565855079733534301374642825880 Theorem 4: I4(1777) = 0.592337960655797849758167849561 Theorem 4: I4prime(1777) = 0.596551182405884928211534456686 Theorem 4: I6(1777) = 0.563754873473425264856990474941 Theorem 4: I6prime(1777) = 0.567968095223512343310357082066 --------- EK(1783) = 8.33574942269925630952520455963 EK(1783)plus = 9.57975500157485348262611821502 gammaK3(1783) = -7.54002766159262673932904338796 gammaK3(1783)plus = 0.436188079030506071334621235346 Theorem 4: I1(1783) = 0.571139367759083121222110081895 Theorem 4: I1prime(1783) = 0.575340295154068048499456800980 Theorem 4: I3(1783) = 0.563046296640508241398977355103 Theorem 4: I3prime(1783) = 0.567247224035493168676324074188 --------- EK(1787) = 9.16229114226421898061060935143 EK(1787)plus = 9.34795749143585219797829165770 Theorem 4: I1(1787) = 0.571875342049275183820959447357 Theorem 4: I1prime(1787) = 0.576068115574000507472005391430 --------- EK(1789) = 9.05196908260277244925222584497 EK(1789)plus = 8.80266814073454869280694489496 gammaK2(1789) = 8.80266814073454869280694489496 gammaK2(1789)plus = 7.27918850414552087796684890933 gammaK3(1789) = 7.76873478621811842099141944879 gammaK3(1789)plus = 6.87177482049500371890278586191 gammaK6(1789) = 6.87177482049500371890278586191 gammaK6(1789)plus = 5.80889355978899462647719565572 Theorem 4: I1(1789) = 0.572429559807525427975419851519 Theorem 4: I1prime(1789) = 0.576618269026490036006678457518 Theorem 4: I2(1789) = 0.570772826448763892294254806492 Theorem 4: I2prime(1789) = 0.574961535667728500325513412491 Theorem 4: I3(1789) = 0.567183779727051562578247977866 Theorem 4: I3prime(1789) = 0.571372488946016170609506583864 Theorem 4: I6(1789) = 0.561275393061593430599522613386 Theorem 4: I6prime(1789) = 0.565464102280558038630781219384 --------- EK(1801) = 9.30148097173923961267704589935 EK(1801)plus = 8.58676431580111608674879306994 gammaK2(1801) = 8.58676431580111608674879306994 gammaK2(1801)plus = 5.20748135096090438660597444596 gammaK3(1801) = -25.9636022922008521995155053061 gammaK3(1801)plus = -9.59885299438968020912565292372 gammaK4(1801) = 5.20748135096090438660597444596 gammaK4(1801)plus = 5.29716828335944663242417036451 gammaK5(1801) = 0.389708829131598586323686988476 gammaK5(1801)plus = 3.66438990835861971483731678680 gammaK6(1801) = -9.59885299438968020912565292372 gammaK6(1801)plus = -3.68211954811000651053258294436 Theorem 4: I1(1801) = 0.572839991480206143765291282533 Theorem 4: I1prime(1801) = 0.577004490005303897142204630884 Theorem 4: I2(1801) = 0.575179706140815315673356457671 Theorem 4: I2prime(1801) = 0.579344204665913069050269806022 Theorem 4: I3(1801) = 0.565932230231621878048776902071 Theorem 4: I3prime(1801) = 0.570096728756719631425690250422 Theorem 4: I4(1801) = 0.565235621092014890314024802013 Theorem 4: I4prime(1801) = 0.569400119617112643690938150364 Theorem 4: I5(1801) = 0.557928899662336364504490256934 Theorem 4: I5prime(1801) = 0.562093398187434117881403605285 Theorem 4: I6(1801) = 0.569753070245883644135054088805 Theorem 4: I6prime(1801) = 0.573917568770981397511967437156 --------- EK(1811) = 3.63641046891040858112500340160 EK(1811)plus = 5.83735927416175015472161772609 gammaK5(1811) = -0.0632065652523543197070390611043 gammaK5(1811)plus = 2.24871722668468376727896898832 Theorem 4: I1(1811) = 0.572772320907700077894861657499 Theorem 4: I1prime(1811) = 0.576916870331945057663912582455 Theorem 4: I5(1811) = 0.564605760017427979849512012837 Theorem 4: I5prime(1811) = 0.568750309441672959618562937793 --------- EK(1823) = 7.66333688189929985875232062387 EK(1823)plus = 7.43790563456395178713429334037 Theorem 4: I1(1823) = 0.573254855206301267890847447222 Theorem 4: I1prime(1823) = 0.577375732689659480315560681372 --------- EK(1831) = 7.89504704124291286466360731441 EK(1831)plus = 8.62708481209638099916023721411 gammaK3(1831) = 6.83897596085602175948109773934 gammaK3(1831)plus = 5.33933365847806174862290474793 gammaK5(1831) = 4.44358218264550533629631126843 gammaK5(1831)plus = 5.93800449927177027331988744488 Theorem 4: I1(1831) = 0.572099146957030815628966191511 Theorem 4: I1prime(1831) = 0.576204402445923990881093463790 Theorem 4: I3(1831) = 0.570914358980895164027795960527 Theorem 4: I3prime(1831) = 0.575019614469788339279923232807 Theorem 4: I5(1831) = 0.556897271263863657367179874526 Theorem 4: I5prime(1831) = 0.561002526752756832619307146806 --------- EK(1847) = 8.50212479956515200518271869798 EK(1847)plus = 9.59628407376644476744842232808 Theorem 4: I1(1847) = 0.571422318349669782016684273724 Theorem 4: I1prime(1847) = 0.575496705121175329124707313557 --------- EK(1861) = 10.1884761022555150750962575053 EK(1861)plus = 8.59134385756659876370780490186 gammaK2(1861) = 8.59134385756659876370780490186 gammaK2(1861)plus = -22.8208535682135118239783694727 gammaK3(1861) = 8.98926371833565208247971484503 gammaK3(1861)plus = 8.11189360367814090307764964261 gammaK5(1861) = 5.59699734998988903556652482407 gammaK5(1861)plus = 4.08791091256973407231071552789 gammaK6(1861) = 8.11189360367814090307764964261 gammaK6(1861)plus = -2.33307247390445103160682160298 Theorem 4: I1(1861) = 0.573453159852044731455144537978 Theorem 4: I1prime(1861) = 0.577500939022282500679439154157 Theorem 4: I2(1861) = 0.635526421046504241942469347320 Theorem 4: I2prime(1861) = 0.639574200216742011166763963499 Theorem 4: I3(1861) = 0.565540549952837913037318736766 Theorem 4: I3prime(1861) = 0.569588329123075682261613352945 Theorem 4: I5(1861) = 0.570272459916802170073503485653 Theorem 4: I5prime(1861) = 0.574320239087039939297798101831 Theorem 4: I6(1861) = 0.618422086747716103177695955348 Theorem 4: I6prime(1861) = 0.622469865917953872401990571527 --------- EK(1867) = 9.04113922856619041412454967855 EK(1867)plus = 7.03759168832241345827201151236 gammaK3(1867) = 7.76401594590377955523937100108 gammaK3(1867)plus = 5.66025447165749961529264498496 Theorem 4: I1(1867) = 0.574515728868895378272982092579 Theorem 4: I1prime(1867) = 0.578552217691800910220484086955 Theorem 4: I3(1867) = 0.571491340968680569276458358630 Theorem 4: I3prime(1867) = 0.575527829791586101223960353006 --------- EK(1871) = 7.89103262374719615239257787061 EK(1871)plus = 9.23401267985730208844158642412 gammaK5(1871) = -3.50652200804283219774846677920 gammaK5(1871)plus = 2.77263982225935501079913709438 Theorem 4: I1(1871) = 0.571557364508446033103462788619 Theorem 4: I1prime(1871) = 0.575586363613405439315061547174 Theorem 4: I5(1871) = 0.553002213961248096901810646963 Theorem 4: I5prime(1871) = 0.557031213066207503113409405518 --------- EK(1873) = 7.87259718097180561271675393127 EK(1873)plus = 8.62322823468801117005482297513 gammaK2(1873) = 8.62322823468801117005482297513 gammaK2(1873)plus = 7.99472537694615430484769221042 gammaK3(1873) = 4.44104493729498446993104168931 gammaK3(1873)plus = 5.33606554919051780097225547517 gammaK4(1873) = 7.99472537694615430484769221042 gammaK4(1873)plus = 8.12561502714595834350936441659 gammaK6(1873) = 5.33606554919051780097225547517 gammaK6(1873)plus = 6.10334343594170888473678720732 Theorem 4: I1(1873) = 0.572206111186929912470065605259 Theorem 4: I1prime(1873) = 0.576231376519432096504993174969 Theorem 4: I2(1873) = 0.569341468550532006307713490707 Theorem 4: I2prime(1873) = 0.573366733883034190342641060417 Theorem 4: I3(1873) = 0.567223499154067230292331966956 Theorem 4: I3prime(1873) = 0.571248764486569414327259536666 Theorem 4: I4(1873) = 0.559564959895810073071883961466 Theorem 4: I4prime(1873) = 0.563590225228312257106811531176 Theorem 4: I6(1873) = 0.555181541221964263963767710245 Theorem 4: I6prime(1873) = 0.559206806554466447998695279955 --------- EK(1877) = 8.73103774843737552630694557672 EK(1877)plus = 7.70733845030693005322518491699 gammaK2(1877) = 7.70733845030693005322518491699 gammaK2(1877)plus = -9.70014667205779605131611380942 Theorem 4: I1(1877) = 0.573650815769323153095530634417 Theorem 4: I1prime(1877) = 0.577668635618249863553317206032 Theorem 4: I2(1877) = 0.606110775748626245942759026078 Theorem 4: I2prime(1877) = 0.610128595597552956400545597694 --------- EK(1879) = 7.77531199998392237038659870411 EK(1879)plus = 7.56229932864762899079797111591 gammaK3(1879) = 7.38454977967933940856224269675 gammaK3(1879)plus = 8.01861778933186113638161602210 Theorem 4: I1(1879) = 0.573300169286301369652126760660 Theorem 4: I1prime(1879) = 0.577314277379705770778431887769 Theorem 4: I3(1879) = 0.563387070800769622163497242679 Theorem 4: I3prime(1879) = 0.567401178894174023289802369788 --------- EK(1889) = 4.55365542246842577417816747028 EK(1889)plus = 7.49000519754019967023754904966 gammaK2(1889) = 7.49000519754019967023754904966 gammaK2(1889)plus = -0.220102520565766530276031950101 gammaK4(1889) = -0.220102520565766530276031950101 gammaK4(1889)plus = 3.30341668352902275032032206907 Theorem 4: I1(1889) = 0.571691114779228603006459794326 Theorem 4: I1prime(1889) = 0.575686773077693385608263552916 Theorem 4: I2(1889) = 0.585612078651928271568575447277 Theorem 4: I2prime(1889) = 0.589607736950393054170379205867 Theorem 4: I4(1889) = 0.562743352304239901255837344644 Theorem 4: I4prime(1889) = 0.566739010602704683857641103234 --------- EK(1901) = 6.80895046913779158835637346728 EK(1901)plus = 6.41099297672458762000201886200 gammaK2(1901) = 6.41099297672458762000201886200 gammaK2(1901)plus = 7.55883152099473923069206165552 gammaK5(1901) = 2.49065807811021541156532632016 gammaK5(1901)plus = 5.45112358905654334752435776695 Theorem 4: I1(1901) = 0.574048817933240861335794083677 Theorem 4: I1prime(1901) = 0.578022573376655824052341997281 Theorem 4: I2(1901) = 0.568046566142892538707460877069 Theorem 4: I2prime(1901) = 0.572020321586307501424008790673 Theorem 4: I5(1901) = 0.555069446860884738905985939747 Theorem 4: I5prime(1901) = 0.559043202304299701622533853351 --------- EK(1907) = 8.17663406708879849594239889374 EK(1907)plus = 8.73729383602834617529763715221 Theorem 4: I1(1907) = 0.572335330953709615597369203732 Theorem 4: I1prime(1907) = 0.576298230536920748370835176024 --------- EK(1913) = 9.69742056797476157707639115735 EK(1913)plus = 9.90144463470106463551033431850 gammaK2(1913) = 9.90144463470106463551033431850 gammaK2(1913)plus = 6.17254049773994872424082231364 gammaK4(1913) = 6.17254049773994872424082231364 gammaK4(1913)plus = 5.16376281052953927554951862224 Theorem 4: I1(1913) = 0.571928310922397952012338947664 Theorem 4: I1prime(1913) = 0.575880417600975490127109772017 Theorem 4: I2(1913) = 0.574655425918836824674413678855 Theorem 4: I2prime(1913) = 0.578607532597414362789184503208 Theorem 4: I4(1913) = 0.568514959399445606704894965072 Theorem 4: I4prime(1913) = 0.572467066078023144819665789424 --------- EK(1931) = 3.68965236651532532387313242247 EK(1931)plus = 5.21599976129945290142298251884 gammaK5(1931) = 7.88394166321944418975778409633 gammaK5(1931)plus = 2.95447281870554865027358893177 Theorem 4: I1(1931) = 0.573720189639237567084844576520 Theorem 4: I1prime(1931) = 0.577640289785573584930313137441 Theorem 4: I5(1931) = 0.582322079216719417268079804258 Theorem 4: I5prime(1931) = 0.586242179363055435113548365180 --------- EK(1933) = 9.20735763461947397198258884798 EK(1933)plus = 8.87418805392326022393585997150 gammaK2(1933) = 8.87418805392326022393585997150 gammaK2(1933)plus = 7.06511830763264949333018077447 gammaK3(1933) = 8.07826323596324584528490170034 gammaK3(1933)plus = 8.66526392522905955931463672072 gammaK6(1933) = 8.66526392522905955931463672072 gammaK6(1933)plus = 4.57973200338232630267177748379 Theorem 4: I1(1933) = 0.572792820672177355706389495996 Theorem 4: I1prime(1933) = 0.576709398559966346854110176085 Theorem 4: I2(1933) = 0.571770566413717303925484944888 Theorem 4: I2prime(1933) = 0.575687144301506295073205624978 Theorem 4: I3(1933) = 0.562842712739447981313822505577 Theorem 4: I3prime(1933) = 0.566759290627236972461543185667 Theorem 4: I6(1933) = 0.575668718754255276640125012670 Theorem 4: I6prime(1933) = 0.579585296642044267787845692759 --------- EK(1949) = 10.5515102078132116392676187578 EK(1949)plus = 9.57352570574279654429380614488 gammaK2(1949) = 9.57352570574279654429380614488 gammaK2(1949)plus = 8.95423619419139438622854936311 Theorem 4: I1(1949) = 0.572801173195077414641797470366 Theorem 4: I1prime(1949) = 0.576689813697904704585883146009 Theorem 4: I2(1949) = 0.568654232331571033585867964562 Theorem 4: I2prime(1949) = 0.572542872834398323529953640205 --------- EK(1951) = 9.76820716264486467461055367721 EK(1951)plus = 9.48477539257303532235837679732 gammaK3(1951) = 6.11221526606061683506982014533 gammaK3(1951)plus = 7.01185074083528012508823950422 gammaK5(1951) = 8.48581864961690477577141480184 gammaK5(1951)plus = 7.07003078073920579027383471634 Theorem 4: I1(1951) = 0.572495034747366397818104957152 Theorem 4: I1prime(1951) = 0.576380212870762865105814253763 Theorem 4: I3(1951) = 0.565038170449635414633597677529 Theorem 4: I3prime(1951) = 0.568923348573031881921306974140 Theorem 4: I5(1951) = 0.562707644157981826575578849243 Theorem 4: I5prime(1951) = 0.566592822281378293863288145854 --------- EK(1973) = 3.76057126647501242132778097759 EK(1973)plus = 6.76159770258010133442633757761 gammaK2(1973) = 6.76159770258010133442633757761 gammaK2(1973)plus = 7.28525461246698741094577235495 Theorem 4: I1(1973) = 0.572263093066225675176962594024 Theorem 4: I1prime(1973) = 0.576110613606805094723674643854 Theorem 4: I2(1973) = 0.569291974188658161917859028032 Theorem 4: I2prime(1973) = 0.573139494729237581464571077862 --------- EK(1979) = 10.7228989640364635441552137319 EK(1979)plus = 9.72739314089568395560290290808 Theorem 4: I1(1979) = 0.572799221674809172176411613443 Theorem 4: I1prime(1979) = 0.576636606379360519864562321534 --------- EK(1987) = 5.92771829584169811228319162693 EK(1987)plus = 8.23566330021132395824654288643 gammaK3(1987) = 0.212987657644770795011115867000 gammaK3(1987)plus = 4.74866656300959252445116727253 Theorem 4: I1(1987) = 0.571904772523430880347922213524 Theorem 4: I1prime(1987) = 0.575728730853013869697522912296 Theorem 4: I3(1987) = 0.563185197489593287731525958093 Theorem 4: I3prime(1987) = 0.567009155819176277081126656865 --------- EK(1993) = 8.75016304160717052567395898839 EK(1993)plus = 9.62132703374649256081625283737 gammaK2(1993) = 9.62132703374649256081625283737 gammaK2(1993)plus = 9.29102554029775904616839526296 gammaK3(1993) = 8.26194066959067551472418770855 gammaK3(1993)plus = 2.30136726616747466158944591570 gammaK4(1993) = 9.29102554029775904616839526296 gammaK4(1993)plus = 4.96987018984607711441453332159 gammaK6(1993) = 2.30136726616747466158944591570 gammaK6(1993)plus = -10.0186652263688604903327227875 Theorem 4: I1(1993) = 0.571946435493971703460390409591 Theorem 4: I1prime(1993) = 0.575760389469982142576231262608 Theorem 4: I2(1993) = 0.568215124740061940957278778294 Theorem 4: I2prime(1993) = 0.572029078716072380073119631311 Theorem 4: I3(1993) = 0.582720773611291468667399823552 Theorem 4: I3prime(1993) = 0.586534727587301907783240676570 Theorem 4: I4(1993) = 0.575905366119664576225434756281 Theorem 4: I4prime(1993) = 0.579719320095675015341275609298 Theorem 4: I6(1993) = 0.644489411181440044953316459473 Theorem 4: I6prime(1993) = 0.648303365157450484069157312490 --------- EK(1997) = 10.9982628709244558205708062642 EK(1997)plus = 9.98034300812653936949088030279 gammaK2(1997) = 9.98034300812653936949088030279 gammaK2(1997)plus = 9.48356760777228204716153271859 Theorem 4: I1(1997) = 0.572723565472361555280337675825 Theorem 4: I1prime(1997) = 0.576530880769664067913514191321 Theorem 4: I2(1997) = 0.568207048145305077803440585423 Theorem 4: I2prime(1997) = 0.572014363442607590436617100919 --------- EK(1999) = 9.10162942236811465929017598486 EK(1999)plus = 9.05341168512984332483657454224 gammaK3(1999) = 8.74080951927248115242525234954 gammaK3(1999)plus = 5.48605581377513718827770388103 Theorem 4: I1(1999) = 0.572706656917016346786173049293 Theorem 4: I1prime(1999) = 0.576510662089438969440603446958 Theorem 4: I3(1999) = 0.573859649716172176151880579857 Theorem 4: I3prime(1999) = 0.577663654888594798806310977522 --------- EK(2003) = 5.79342136907936332803849821625 EK(2003)plus = 6.99352586114139787466168421420 Theorem 4: I1(2003) = 0.573121045642557835250832396307 Theorem 4: I1prime(2003) = 0.576918448907126176036709122897 --------- EK(2011) = 9.67856897234192063058914293740 EK(2011)plus = 7.68578436661370367737826958464 gammaK3(2011) = 8.53883620176811601648142767512 gammaK3(2011)plus = 8.62875891227618437055504589965 gammaK5(2011) = 8.71521809550507892861749249785 gammaK5(2011)plus = -10.0629215035138011336489936375 Theorem 4: I1(2011) = 0.574381443989483752671653243574 Theorem 4: I1prime(2011) = 0.578165716322703977570538493422 Theorem 4: I3(2011) = 0.564197059087924692025127688032 Theorem 4: I3prime(2011) = 0.567981331421144916924012937879 Theorem 4: I5(2011) = 0.648950184379640972474712573970 Theorem 4: I5prime(2011) = 0.652734456712861197373597823818 --------- EK(2017) = 7.40310323117703807640708930425 EK(2017)plus = 7.24145783064253663292459713082 gammaK2(2017) = 7.24145783064253663292459713082 gammaK2(2017)plus = -4.35323044812760941519726566716 gammaK3(2017) = 4.23268123963333892068547821896 gammaK3(2017)plus = 4.26726305492275599869966975552 gammaK4(2017) = -4.35323044812760941519726566716 gammaK4(2017)plus = 0.360920464669329942089498264205 gammaK6(2017) = 4.26726305492275599869966975552 gammaK6(2017)plus = 1.61572777457702103005932250806 Theorem 4: I1(2017) = 0.573701980914688588701964819387 Theorem 4: I1prime(2017) = 0.577476468284705558827157583729 Theorem 4: I2(2017) = 0.593033268313762759905315597722 Theorem 4: I2prime(2017) = 0.596807755683779730030508362064 Theorem 4: I3(2017) = 0.570808493238464125417763497737 Theorem 4: I3prime(2017) = 0.574582980608481095542956262079 Theorem 4: I4(2017) = 0.567138589772889435468612377860 Theorem 4: I4prime(2017) = 0.570913077142906405593805142203 Theorem 4: I6(2017) = 0.580287191742005173012630637627 Theorem 4: I6prime(2017) = 0.584061679112022143137823401969 --------- EK(2027) = 7.41923733138625380524921217614 EK(2027)plus = 7.57946664610382660744110371141 Theorem 4: I1(2027) = 0.573393624299845758578495170493 Theorem 4: I1prime(2027) = 0.577151922496515057707779011690 --------- EK(2029) = 8.67821234664358126003083054039 EK(2029)plus = 6.72520334165361130186474745330 gammaK2(2029) = 6.72520334165361130186474745330 gammaK2(2029)plus = 7.33331639856430875357862382456 gammaK3(2029) = 8.90229115961120901664866021540 gammaK3(2029)plus = 7.53777844839021537859271110937 gammaK6(2029) = 7.53777844839021537859271110937 gammaK6(2029)plus = 5.14103831214986485467478547170 Theorem 4: I1(2029) = 0.574860660259155898806484706776 Theorem 4: I1prime(2029) = 0.578615738335993085563353685391 Theorem 4: I2(2029) = 0.569380177195860431225792791094 Theorem 4: I2prime(2029) = 0.573135255272697617982661769709 Theorem 4: I3(2029) = 0.568078060145251708347201985080 Theorem 4: I3prime(2029) = 0.571833138222088895104070963695 Theorem 4: I6(2029) = 0.569085329830567323572447803654 Theorem 4: I6prime(2029) = 0.572840407907404510329316782270 --------- EK(2039) = 6.01246048565749693812353449064 EK(2039)plus = 7.98326832265335668501472246062 Theorem 4: I1(2039) = 0.572329592661691495815413403917 Theorem 4: I1prime(2039) = 0.576068657809176508168625377758 --------- EK(2053) = 11.2444318093667063349161032193 EK(2053)plus = 10.8781968912003477175816528549 gammaK2(2053) = 10.8781968912003477175816528549 gammaK2(2053)plus = 8.65587419093153346578489980459 gammaK3(2053) = -8.72088403166789906388014337140 gammaK3(2053)plus = -1.02118442455908502376737307664 gammaK6(2053) = -1.02118442455908502376737307664 gammaK6(2053)plus = 2.15750738243351790260716706482 Theorem 4: I1(2053) = 0.572091065065951265565094172355 Theorem 4: I1prime(2053) = 0.575807954645395190307458859310 Theorem 4: I2(2053) = 0.570941524180049270802681182245 Theorem 4: I2prime(2053) = 0.574658413759493195545045869201 Theorem 4: I3(2053) = 0.567446319766841087300828227648 Theorem 4: I3prime(2053) = 0.571163209346285012043192914604 Theorem 4: I6(2053) = 0.561601875196838226823693166418 Theorem 4: I6prime(2053) = 0.565318764776282151566057853374 --------- EK(2063) = 5.72229810921009476075012648881 EK(2063)plus = 7.47813762952674272315585624234 Theorem 4: I1(2063) = 0.572735704489182326850934261409 Theorem 4: I1prime(2063) = 0.576436924912592245290830991010 --------- EK(2069) = 4.72422431233466349090853148029 EK(2069)plus = 7.22680324047723366457630519950 gammaK2(2069) = 7.22680324047723366457630519950 gammaK2(2069)plus = 7.05700872701114995051823370291 Theorem 4: I1(2069) = 0.572509149401132661786012690383 Theorem 4: I1prime(2069) = 0.576201035608939984334692349764 Theorem 4: I2(2069) = 0.570551345656123891980778200464 Theorem 4: I2prime(2069) = 0.574243231863931214529457859845 --------- EK(2081) = 7.25130455099836527739540989394 EK(2081)plus = 8.24064485029289037399398609432 gammaK2(2081) = 8.24064485029289037399398609432 gammaK2(2081)plus = 6.24684483254491282326671927502 gammaK4(2081) = 6.24684483254491282326671927502 gammaK4(2081)plus = 4.23932120233592940622342196690 gammaK5(2081) = 7.57908446776241679400842592777 gammaK5(2081)plus = 5.57134024392631357031350433540 Theorem 4: I1(2081) = 0.572776405999219570616391531558 Theorem 4: I1prime(2081) = 0.576449773223447279474590967620 Theorem 4: I2(2081) = 0.573122666649589434662860501725 Theorem 4: I2prime(2081) = 0.576796033873817143521059937787 Theorem 4: I4(2081) = 0.572916682325857526571823005285 Theorem 4: I4prime(2081) = 0.576590049550085235430022441346 Theorem 4: I5(2081) = 0.568640498105103922973154440613 Theorem 4: I5prime(2081) = 0.572313865329331631831353876675 --------- EK(2083) = 9.61152172645282352199454283098 EK(2083)plus = 8.79501574147875493016190869182 gammaK3(2083) = 0.195773683779474484053719277156 gammaK3(2083)plus = 3.81206017394093993090802664417 Theorem 4: I1(2083) = 0.573381764778368382792377815076 Theorem 4: I1prime(2083) = 0.577052064702124853490663826555 Theorem 4: I3(2083) = 0.566506706740111878115934827802 Theorem 4: I3prime(2083) = 0.570177006663868348814220839282 --------- EK(2087) = 10.2818290292241949895757719800 EK(2087)plus = 9.97777708279924809273596664837 Theorem 4: I1(2087) = 0.572576456216002086230797219948 Theorem 4: I1prime(2087) = 0.576240637858896238075855003064 --------- EK(2089) = 10.2239262215750309121455863820 EK(2089)plus = 8.42788152797630617789332716048 gammaK2(2089) = 8.42788152797630617789332716048 gammaK2(2089)plus = 6.25229955969932587131191932798 gammaK3(2089) = 8.93044143678463768275059813160 gammaK3(2089)plus = 4.76472435358715819087014125352 gammaK4(2089) = 6.25229955969932587131191932798 gammaK4(2089)plus = 7.20012142854392977092978107338 gammaK6(2089) = 4.76472435358715819087014125352 gammaK6(2089)plus = 5.11323898984610866925888339889 Theorem 4: I1(2089) = 0.574037744420205987602017141474 Theorem 4: I1prime(2089) = 0.577698875053135377346401897605 Theorem 4: I2(2089) = 0.573307256163932022527513147313 Theorem 4: I2prime(2089) = 0.576968386796861412271897903444 Theorem 4: I3(2089) = 0.576349762026500377720399921790 Theorem 4: I3prime(2089) = 0.580010892659429767464784677922 Theorem 4: I4(2089) = 0.561599564464710134437370274805 Theorem 4: I4prime(2089) = 0.565260695097639524181755030937 Theorem 4: I6(2089) = 0.561510450083320249866879876576 Theorem 4: I6prime(2089) = 0.565171580716249639611264632707 --------- EK(2099) = 6.89668385580027964634932895379 EK(2099)plus = 8.59729487377792153071589000774 Theorem 4: I1(2099) = 0.572305487662230326194549729338 Theorem 4: I1prime(2099) = 0.575951443963384107409131508561 --------- EK(2111) = 9.20904609885769248668571568337 EK(2111)plus = 8.12421926501012082154984410413 gammaK5(2111) = 8.15759565486577074622711289032 gammaK5(2111)plus = 7.16880552599509395846415893811 Theorem 4: I1(2111) = 0.573877740563175495084479067607 Theorem 4: I1prime(2111) = 0.577505663334667590160183965178 Theorem 4: I5(2111) = 0.562562481679030705948272967136 Theorem 4: I5prime(2111) = 0.566190404450522801023977864707 --------- EK(2113) = 8.77115201054843249732158215490 EK(2113)plus = 8.70980366243394068115603744435 gammaK2(2113) = 8.70980366243394068115603744435 gammaK2(2113)plus = 7.99120424036782560866718917257 gammaK3(2113) = 6.38098078213619850813222365263 gammaK3(2113)plus = 2.88576029023600999657101180638 gammaK4(2113) = 7.99120424036782560866718917257 gammaK4(2113)plus = 7.33383596985796226874848770930 gammaK6(2113) = 2.88576029023600999657101180638 gammaK6(2113)plus = 4.83747520886455846212008521438 Theorem 4: I1(2113) = 0.573119035995314181436536572936 Theorem 4: I1prime(2113) = 0.576743971609715723434336053245 Theorem 4: I2(2113) = 0.570325295816385027199148320782 Theorem 4: I2prime(2113) = 0.573950231430786569196947801091 Theorem 4: I3(2113) = 0.578076226358989930170421749968 Theorem 4: I3prime(2113) = 0.581701161973391472168221230277 Theorem 4: I4(2113) = 0.564563974305012973351156814086 Theorem 4: I4prime(2113) = 0.568188909919414515348956294395 Theorem 4: I6(2113) = 0.557917894835886529726776413654 Theorem 4: I6prime(2113) = 0.561542830450288071724575893963 --------- EK(2129) = 5.85988670688088979715546458953 EK(2129)plus = 7.80832224579979086029876373224 gammaK2(2129) = 7.80832224579979086029876373224 gammaK2(2129)plus = 8.42387230134383956187676367921 gammaK4(2129) = 8.42387230134383956187676367921 gammaK4(2129)plus = 6.69125659890678588215359460161 Theorem 4: I1(2129) = 0.572629030028353759652936727520 Theorem 4: I1prime(2129) = 0.576230255434788665419245384712 Theorem 4: I2(2129) = 0.568716582587346466650477247711 Theorem 4: I2prime(2129) = 0.572317807993781372416785904903 Theorem 4: I4(2129) = 0.567888142116051343485841537110 Theorem 4: I4prime(2129) = 0.571489367522486249252150194302 --------- EK(2131) = 10.7864097276634517306471119536 EK(2131)plus = 7.61313738278353127575434261026 gammaK3(2131) = 8.79198307821008025868888468229 gammaK3(2131)plus = 6.31680375092382336160978587731 gammaK5(2131) = 6.02891967565519443583856414769 gammaK5(2131)plus = 3.77335402014129986056736585555 Theorem 4: I1(2131) = 0.575129531886177267654149455223 Theorem 4: I1prime(2131) = 0.578727816689979435324988438048 Theorem 4: I3(2131) = 0.571799858269925299152707123808 Theorem 4: I3prime(2131) = 0.575398143073727466823546106632 Theorem 4: I5(2131) = 0.573644334738548805552598929176 Theorem 4: I5prime(2131) = 0.577242619542350973223437912000 --------- EK(2137) = 10.2117930924031846090395899584 EK(2137)plus = 6.76795782225487801561213051100 gammaK2(2137) = 6.76795782225487801561213051100 gammaK2(2137)plus = 8.58908182456673316070207793857 gammaK3(2137) = 10.1369409627423009072758250247 gammaK3(2137)plus = 6.63751810009840647941571010375 gammaK4(2137) = 8.58908182456673316070207793857 gammaK4(2137)plus = 8.28611387762552968168219487415 gammaK6(2137) = 6.63751810009840647941571010375 gammaK6(2137)plus = 7.19647595966810890629898898231 Theorem 4: I1(2137) = 0.575657747277154679079250194010 Theorem 4: I1prime(2137) = 0.579247240842378999125989140412 Theorem 4: I2(2137) = 0.567464920219469365638498265820 Theorem 4: I2prime(2137) = 0.571054413784693685685237212221 Theorem 4: I3(2137) = 0.572803186346729860084598699452 Theorem 4: I3prime(2137) = 0.576392679911954180131337645853 Theorem 4: I4(2137) = 0.562259231522788383972225478180 Theorem 4: I4prime(2137) = 0.565848725088012704018964424581 Theorem 4: I6(2137) = 0.555420655595906355962610385568 Theorem 4: I6prime(2137) = 0.559010149161130676009349331969 --------- EK(2141) = 4.08717798960539539541292978840 EK(2141)plus = 6.18576663494456120151461566972 gammaK2(2141) = 6.18576663494456120151461566972 gammaK2(2141)plus = -0.739079343755606330670118770377 gammaK5(2141) = 3.48279134865459184637762588925 gammaK5(2141)plus = 5.34047742446442134379298222858 Theorem 4: I1(2141) = 0.573342796238746642273230700519 Theorem 4: I1prime(2141) = 0.576926454317526867879102815857 Theorem 4: I2(2141) = 0.584374862718707621015155997648 Theorem 4: I2prime(2141) = 0.587958520797487846621028112986 Theorem 4: I5(2141) = 0.560389152849306152506478887551 Theorem 4: I5prime(2141) = 0.563972810928086378112351002890 --------- EK(2143) = 7.72447300495869105861458574603 EK(2143)plus = 8.97556909754949931072024434984 gammaK3(2143) = -3.86719344003917130583990974675 gammaK3(2143)plus = 2.51772020707205975036992255277 Theorem 4: I1(2143) = 0.572439639720376299425048008309 Theorem 4: I1prime(2143) = 0.576020387617422787295208214264 Theorem 4: I3(2143) = 0.564741974982652836384593441541 Theorem 4: I3prime(2143) = 0.568322722879699324254753647496 --------- EK(2153) = 8.24656377369841000127887640038 EK(2153)plus = 8.44346865217471485681376538689 gammaK2(2153) = 8.44346865217471485681376538689 gammaK2(2153)plus = 8.24389923537823537176931693906 gammaK4(2153) = 8.24389923537823537176931693906 gammaK4(2153)plus = 7.09637211639747741649828989192 Theorem 4: I1(2153) = 0.573198964249710237149123799315 Theorem 4: I1prime(2153) = 0.576765236320976205100071158301 Theorem 4: I2(2153) = 0.569736207568212208325214863456 Theorem 4: I2prime(2153) = 0.573302479639478176276162222442 Theorem 4: I4(2153) = 0.566151703434083073563429914982 Theorem 4: I4prime(2153) = 0.569717975505349041514377273969 --------- EK(2161) = 6.69857036077847204903894989613 EK(2161)plus = 8.11619208387571341774831801852 gammaK2(2161) = 8.11619208387571341774831801852 gammaK2(2161)plus = 8.66135085148377497516378379308 gammaK3(2161) = -3.49628645128101309780664937680 gammaK3(2161)plus = 2.43640172186129694091890998772 gammaK4(2161) = 8.66135085148377497516378379308 gammaK4(2161)plus = 8.55559932524383531553911123937 gammaK5(2161) = 3.97995291489405659940831689993 gammaK5(2161)plus = 5.56076394282584606855559237095 gammaK6(2161) = 2.43640172186129694091890998772 gammaK6(2161)plus = 4.81927368554660052524402139884 Theorem 4: I1(2161) = 0.572800216481304360686946957208 Theorem 4: I1prime(2161) = 0.576354997201909400489947824534 Theorem 4: I2(2161) = 0.568687827494299118409861858198 Theorem 4: I2prime(2161) = 0.572242608214904158212862725524 Theorem 4: I3(2161) = 0.565586991740804788357279492555 Theorem 4: I3prime(2161) = 0.569141772461409828160280359881 Theorem 4: I4(2161) = 0.561561215679820822281109424244 Theorem 4: I4prime(2161) = 0.565115996400425862084110291570 Theorem 4: I5(2161) = 0.560676012699036933343767023626 Theorem 4: I5prime(2161) = 0.564230793419641973146767890952 Theorem 4: I6(2161) = 0.557199830373887001858256163201 Theorem 4: I6prime(2161) = 0.560754611094492041661257030527 --------- EK(2179) = 10.6895644081563461509942652442 EK(2179)plus = 7.97430837654608726555123225583 gammaK3(2179) = 7.28394307552730705372953128236 gammaK3(2179)plus = 7.25165517350436426811536837009 Theorem 4: I1(2179) = 0.574799419926402734141142338551 Theorem 4: I1prime(2179) = 0.578328630823989795608261905602 Theorem 4: I3(2179) = 0.567266771675115493466059851756 Theorem 4: I3prime(2179) = 0.570795982572702554933179418807 --------- EK(2203) = 7.70176253929080812072546784505 EK(2203)plus = 7.17926200641515310783825694528 gammaK3(2203) = 5.71362691021709642610039230580 gammaK3(2203)plus = 6.86608088986914520225520415701 Theorem 4: I1(2203) = 0.574191024940816614466596821048 Theorem 4: I1prime(2203) = 0.577686744898492519608973189548 Theorem 4: I3(2203) = 0.566286467913142029702489757144 Theorem 4: I3prime(2203) = 0.569782187870817934844866125644 --------- EK(2207) = 9.25101563692426202809351086758 EK(2207)plus = 8.82180454379469144244725079603 Theorem 4: I1(2207) = 0.573409643299363734505500399376 Theorem 4: I1prime(2207) = 0.576899847019335056536299373487 --------- EK(2213) = 8.79535592688653720666565145552 EK(2213)plus = 9.50148296551050009121371215726 gammaK2(2213) = 9.50148296551050009121371215726 gammaK2(2213)plus = 8.15773377987365767182048444188 Theorem 4: I1(2213) = 0.572599438876161329039413967273 Theorem 4: I1prime(2213) = 0.576081402863526179698688763365 Theorem 4: I2(2213) = 0.571051590255760545865927522702 Theorem 4: I2prime(2213) = 0.574533554243125396525202318795 --------- EK(2221) = 7.66031413126388947306228031059 EK(2221)plus = 7.23143843275325722398579419363 gammaK2(2221) = 7.23143843275325722398579419363 gammaK2(2221)plus = 7.02072834040698962925997306384 gammaK3(2221) = 8.46595396951273837604919362492 gammaK3(2221)plus = 7.95207973661870123424034460557 gammaK5(2221) = -25.7207121519145988611268320134 gammaK5(2221)plus = -8.95613785277665235901263974398 gammaK6(2221) = 7.95207973661870123424034460557 gammaK6(2221)plus = 4.60157295731524882650970598731 Theorem 4: I1(2221) = 0.574149883921327820051414817844 Theorem 4: I1prime(2221) = 0.577620925733892877458051111095 Theorem 4: I2(2221) = 0.571077386262007376739898767355 Theorem 4: I2prime(2221) = 0.574548428074572434146535060606 Theorem 4: I3(2221) = 0.567159345245401469863487587543 Theorem 4: I3prime(2221) = 0.570630387057966527270123880793 Theorem 4: I5(2221) = 0.559621278666907051596358511662 Theorem 4: I5prime(2221) = 0.563092320479472109002994804913 Theorem 4: I6(2221) = 0.573825023766872424184388566671 Theorem 4: I6prime(2221) = 0.577296065579437481591024859922 --------- EK(2237) = 10.3190127412159010342812557088 EK(2237)plus = 9.55475043466831837345020887258 gammaK2(2237) = 9.55475043466831837345020887258 gammaK2(2237)plus = 4.56442220573562472482179263960 Theorem 4: I1(2237) = 0.573282776912855257971667017177 Theorem 4: I1prime(2237) = 0.576732191475239036866087997814 Theorem 4: I2(2237) = 0.577593533066680163956165223010 Theorem 4: I2prime(2237) = 0.581042947629063942850586203647 --------- EK(2239) = 9.76095236529627745165414797361 EK(2239)plus = 9.03837428367056567036441698432 gammaK3(2239) = 8.02128252646506643379066051101 gammaK3(2239)plus = 7.91285381029922430544537132294 Theorem 4: I1(2239) = 0.573498398175290591888955759992 Theorem 4: I1prime(2239) = 0.576945129460634092705336506543 Theorem 4: I3(2239) = 0.566749348781668617070431040643 Theorem 4: I3prime(2239) = 0.570196080067012117886811787194 --------- EK(2243) = 10.4382084297030061921316540661 EK(2243)plus = 8.37361798462031075306406890988 Theorem 4: I1(2243) = 0.574400112306722995708283846142 Theorem 4: I1prime(2243) = 0.577841490332824783539523007018 --------- EK(2251) = 7.56056823176033078957928904474 EK(2251)plus = 8.54350372956080265082247947680 gammaK3(2251) = 7.26009881598434881403336389373 gammaK3(2251)plus = 3.25181414619834783507503517082 gammaK5(2251) = 3.61028971150797290904528320007 gammaK5(2251)plus = -29.1505892657595690084092406980 Theorem 4: I1(2251) = 0.572980167145206189123175786730 Theorem 4: I1prime(2251) = 0.576410891518942514564188419946 Theorem 4: I3(2251) = 0.578219717967151416364435131308 Theorem 4: I3prime(2251) = 0.581650442340887741805447764523 Theorem 4: I5(2251) = 0.714789081609651470829673761111 Theorem 4: I5prime(2251) = 0.718219805983387796270686394326 --------- EK(2267) = 9.87609474249053539877885665448 EK(2267)plus = 8.63058743203294062957923703278 Theorem 4: I1(2267) = 0.573955078075568736654251361220 Theorem 4: I1prime(2267) = 0.577364704134927752097445553439 --------- EK(2269) = 9.33766362856526495153256908261 EK(2269)plus = 9.27643258870403217608180804595 gammaK2(2269) = 9.27643258870403217608180804595 gammaK2(2269)plus = 7.66307428057981079689013701931 gammaK3(2269) = 7.02969484592137826170609359857 gammaK3(2269)plus = -12.9039133602189046801437547423 gammaK6(2269) = -12.9039133602189046801437547423 gammaK6(2269)plus = -4.56624318580657497031937279041 Theorem 4: I1(2269) = 0.573151022680636451848677700881 Theorem 4: I1prime(2269) = 0.576558030830892113986025400865 Theorem 4: I2(2269) = 0.571877813948617653305069573599 Theorem 4: I2prime(2269) = 0.575284822098873315442417273583 Theorem 4: I3(2269) = 0.620647033364772188595739941118 Theorem 4: I3prime(2269) = 0.624054041515027850733087641102 Theorem 4: I6(2269) = 0.567229331576781510337616966110 Theorem 4: I6prime(2269) = 0.570636339727037172474964666094 --------- EK(2273) = 6.22929549156319373641224263847 EK(2273)plus = 7.59984830418034840724540776877 gammaK2(2273) = 7.59984830418034840724540776877 gammaK2(2273)plus = 7.31100431325886338731950934915 gammaK4(2273) = 7.31100431325886338731950934915 gammaK4(2273)plus = 4.58329221368701262559041269905 Theorem 4: I1(2273) = 0.573265927708781434113016589873 Theorem 4: I1prime(2273) = 0.576667712842519349256220166279 Theorem 4: I2(2273) = 0.571031191215378708949349401257 Theorem 4: I2prime(2273) = 0.574432976349116624092552977663 Theorem 4: I4(2273) = 0.573942809445108741277278780883 Theorem 4: I4prime(2273) = 0.577344594578846656420482357289 --------- EK(2281) = 7.56695911619328183717023846414 EK(2281)plus = 6.76552088791443006050472951403 gammaK2(2281) = 6.76552088791443006050472951403 gammaK2(2281)plus = 4.65262470346498149001575842499 gammaK3(2281) = 8.02434226449219051887135083094 gammaK3(2281)plus = 7.17023125956779165307047845423 gammaK4(2281) = 4.65262470346498149001575842499 gammaK4(2281)plus = 6.28379040137157924384107132450 gammaK5(2281) = 9.20579650112801119028308736649 gammaK5(2281)plus = 8.19313183965325435058830337444 gammaK6(2281) = 7.17023125956779165307047845423 gammaK6(2281)plus = 4.79803658356047761221485238799 Theorem 4: I1(2281) = 0.574598351721863846510793362522 Theorem 4: I1prime(2281) = 0.577989741731637700910271637111 Theorem 4: I2(2281) = 0.574984857963791363436401330775 Theorem 4: I2prime(2281) = 0.578376247973565217835879605365 Theorem 4: I3(2281) = 0.568900518000673430814842242251 Theorem 4: I3prime(2281) = 0.572291908010447285214320516840 Theorem 4: I4(2281) = 0.563323827201027683673063208506 Theorem 4: I4prime(2281) = 0.566715217210801538072541483096 Theorem 4: I5(2281) = 0.561461589094102440945781832063 Theorem 4: I5prime(2281) = 0.564852979103876295345260106653 Theorem 4: I6(2281) = 0.570822945697419867380831288513 Theorem 4: I6prime(2281) = 0.574214335707193721780309563103 --------- EK(2287) = 8.18268070004665382688013212820 EK(2287)plus = 8.97853829977695992350069604716 gammaK3(2287) = 5.96744282263018794486967502769 gammaK3(2287)plus = 5.56477746516236537843380216064 Theorem 4: I1(2287) = 0.572938421009412381180385099764 Theorem 4: I1prime(2287) = 0.576322058889562329185425001966 Theorem 4: I3(2287) = 0.570436799093692056459526566203 Theorem 4: I3prime(2287) = 0.573820436973842004464566468406 --------- EK(2293) = 7.55651270509430263148000639534 EK(2293)plus = 8.00408869978035045017737474538 gammaK2(2293) = 8.00408869978035045017737474538 gammaK2(2293)plus = 5.69148300541634130339158784176 gammaK3(2293) = 3.23090628127934137887787071995 gammaK3(2293)plus = 6.12315268965540529198015722114 gammaK6(2293) = 6.12315268965540529198015722114 gammaK6(2293)plus = -4.15508496841449080740991520398 Theorem 4: I1(2293) = 0.573526729204412014835825253376 Theorem 4: I1prime(2293) = 0.576902652538992252375311889648 Theorem 4: I2(2293) = 0.574264309548664699704116551187 Theorem 4: I2prime(2293) = 0.577640232883244937243603187459 Theorem 4: I3(2293) = 0.565410985554195099555959825215 Theorem 4: I3prime(2293) = 0.568786908888775337095446461488 Theorem 4: I6(2293) = 0.614990394490930260264262092681 Theorem 4: I6prime(2293) = 0.618366317825510497803748728954 --------- EK(2297) = 9.99319848455961609825211903944 EK(2297)plus = 8.31067620403323768160622572822 gammaK2(2297) = 8.31067620403323768160622572822 gammaK2(2297)plus = 7.75928087927051121283397993902 gammaK4(2297) = 7.75928087927051121283397993902 gammaK4(2297)plus = 7.66782390389121950640608025958 Theorem 4: I1(2297) = 0.574327370160873746215289405565 Theorem 4: I1prime(2297) = 0.577698171207341123502240640688 Theorem 4: I2(2297) = 0.570934082710283512068751911176 Theorem 4: I2prime(2297) = 0.574304883756750889355703146299 Theorem 4: I4(2297) = 0.564010546905786527545074578209 Theorem 4: I4prime(2297) = 0.567381347952253904832025813333 --------- EK(2309) = 9.45713298599645363988848438388 EK(2309)plus = 10.2534777717713930957733367981 gammaK2(2309) = 10.2534777717713930957733367981 gammaK2(2309)plus = 7.33937748418577415352931281221 Theorem 4: I1(2309) = 0.572426592938624423292440582471 Theorem 4: I1prime(2309) = 0.575782125784965192511290937495 Theorem 4: I2(2309) = 0.573378028220903314696196544865 Theorem 4: I2prime(2309) = 0.576733561067244083915046899889 --------- EK(2311) = 9.89098670597040750083873846121 EK(2311)plus = 7.60609178061712429500303004521 gammaK3(2311) = 6.43570317222688774083099927428 gammaK3(2311)plus = 2.66108848275576778712825904348 gammaK5(2311) = -3.42927912970878835670593213870 gammaK5(2311)plus = 1.62082161142514351696590476596 Theorem 4: I1(2311) = 0.574910664963137825412886917928 Theorem 4: I1prime(2311) = 0.578263667391828033519712964852 Theorem 4: I3(2311) = 0.578657448283723330682444109745 Theorem 4: I3prime(2311) = 0.582010450712413538789270156669 Theorem 4: I5(2311) = 0.562769181449178389613558480304 Theorem 4: I5prime(2311) = 0.566122183877868597720384527228 --------- EK(2333) = 7.86211654026285479657270005128 EK(2333)plus = 8.60735724803048698761496421378 gammaK2(2333) = 8.60735724803048698761496421378 gammaK2(2333)plus = 7.03248181850938924383289420226 Theorem 4: I1(2333) = 0.573203690892519396770782359766 Theorem 4: I1prime(2333) = 0.576529124113797883035285081332 Theorem 4: I2(2333) = 0.572532189925366848611387452936 Theorem 4: I2prime(2333) = 0.575857623146645334875890174502 --------- EK(2339) = 5.00705192018156901159660692709 EK(2339)plus = 6.76994739312079600989524916636 Theorem 4: I1(2339) = 0.573564612350710958405991409820 Theorem 4: I1prime(2339) = 0.576882610112295295029450456575 --------- EK(2341) = 9.23082981613139720689285234183 EK(2341)plus = 10.1931423185690940850562779970 gammaK2(2341) = 10.1931423185690940850562779970 gammaK2(2341)plus = 10.1747474930712745250797301673 gammaK3(2341) = 9.78761388743633031187731102372 gammaK3(2341)plus = 9.80185592221347464692046976028 gammaK5(2341) = 3.50619637105765295009226206522 gammaK5(2341)plus = 5.07849663793210521426175855757 gammaK6(2341) = 9.80185592221347464692046976028 gammaK6(2341)plus = 9.00249250248589194556282254272 Theorem 4: I1(2341) = 0.572446959624554377560873281774 Theorem 4: I1prime(2341) = 0.575762486747413741135981072020 Theorem 4: I2(2341) = 0.568532187812048831265761414760 Theorem 4: I2prime(2341) = 0.571847714934908194840869205006 Theorem 4: I3(2341) = 0.564626673255233529394282940996 Theorem 4: I3prime(2341) = 0.567942200378092892969390731243 Theorem 4: I5(2341) = 0.562997475944418722055216442988 Theorem 4: I5prime(2341) = 0.566313003067278085630324233235 Theorem 4: I6(2341) = 0.556173499235170889817331876966 Theorem 4: I6prime(2341) = 0.559489026358030253392439667212 --------- EK(2347) = 9.47850627711330160561381447907 EK(2347)plus = 9.22535312989772717224695956838 gammaK3(2347) = 6.92962519139503518600890494791 gammaK3(2347)plus = 5.86119971871184614175798332892 Theorem 4: I1(2347) = 0.573389787611976462465887400599 Theorem 4: I1prime(2347) = 0.576697926229133761491304270259 Theorem 4: I3(2347) = 0.571082567222957650380767232564 Theorem 4: I3prime(2347) = 0.574390705840114949406184102223 --------- EK(2351) = 5.61132471481048112665422947280 EK(2351)plus = 5.91197548688115200583692580775 gammaK5(2351) = 6.51526508182676963798564538572 gammaK5(2351)plus = 7.39690714936355571522817253091 Theorem 4: I1(2351) = 0.574570588522250773897719571771 Theorem 4: I1prime(2351) = 0.577873820883331654540515460106 Theorem 4: I5(2351) = 0.559594702243529833642440822924 Theorem 4: I5prime(2351) = 0.562897934604610714285236711259 --------- EK(2357) = 8.47096840517481197266440905426 EK(2357)plus = 9.01251012261441302401732148197 gammaK2(2357) = 9.01251012261441302401732148197 gammaK2(2357)plus = 7.29914644898904072603854747719 Theorem 4: I1(2357) = 0.573159065690172386375223436318 Theorem 4: I1prime(2357) = 0.576454967601435599921057795118 Theorem 4: I2(2357) = 0.572471115939499811674758602959 Theorem 4: I2prime(2357) = 0.575767017850763025220592961759 --------- EK(2371) = 10.6546985258408313212789631929 EK(2371)plus = 9.93142309545603276581117992142 gammaK3(2371) = 8.85178007782712735453768702704 gammaK3(2371)plus = 7.27080057046901760128908103785 gammaK5(2371) = 6.27691405876567738776463854242 gammaK5(2371)plus = 7.19452949258053459836377259322 Theorem 4: I1(2371) = 0.573328987012785528362036670980 Theorem 4: I1prime(2371) = 0.576607918272728737425383293891 Theorem 4: I3(2371) = 0.570009209212455833951950290498 Theorem 4: I3prime(2371) = 0.573288140472399043015296913409 Theorem 4: I5(2371) = 0.560094517522513166475655015680 Theorem 4: I5prime(2371) = 0.563373448782456375539001638591 --------- EK(2377) = 11.0393363024030080134416023531 EK(2377)plus = 10.7799556924064732768953336901 gammaK2(2377) = 10.7799556924064732768953336901 gammaK2(2377)plus = 8.74448840139073915897034842000 gammaK3(2377) = 10.2880978641322879389252666028 gammaK3(2377)plus = 9.70593042755517127521344549278 gammaK4(2377) = 8.74448840139073915897034842000 gammaK4(2377)plus = 5.05608509281490927638370258970 gammaK6(2377) = 9.70593042755517127521344549278 gammaK6(2377)plus = 8.25765664252956995448728940173 Theorem 4: I1(2377) = 0.572786436451510510604352287271 Theorem 4: I1prime(2377) = 0.576058151294675575386978738912 Theorem 4: I2(2377) = 0.571565586765827330214400987724 Theorem 4: I2prime(2377) = 0.574837301608992394997027439364 Theorem 4: I3(2377) = 0.565691631182061623641506722867 Theorem 4: I3prime(2377) = 0.568963346025226688424133174507 Theorem 4: I4(2377) = 0.574907662377825378353010939895 Theorem 4: I4prime(2377) = 0.578179377220990443135637391536 Theorem 4: I6(2377) = 0.560011991739040098741502595733 Theorem 4: I6prime(2377) = 0.563283706582205163524129047373 --------- EK(2381) = 9.53624160883652592026864904965 EK(2381)plus = 9.65794092904659243720123442832 gammaK2(2381) = 9.65794092904659243720123442832 gammaK2(2381)plus = 8.14099862990122577968866283432 gammaK5(2381) = 9.58016364748382867329906396219 gammaK5(2381)plus = 8.66503740182266572407995738829 Theorem 4: I1(2381) = 0.573105199703263434864400076465 Theorem 4: I1prime(2381) = 0.576372122327837746957172679187 Theorem 4: I2(2381) = 0.571646485697011487972672708702 Theorem 4: I2prime(2381) = 0.574913408321585800065445311424 Theorem 4: I5(2381) = 0.560927475660385639835601116517 Theorem 4: I5prime(2381) = 0.564194398284959951928373719239 --------- EK(2383) = 6.46544333260068729475829298424 EK(2383)plus = 8.40276469513100858223187560414 gammaK3(2383) = -1.66950852777081457446546306539 gammaK3(2383)plus = 3.73672652524129502138740921157 Theorem 4: I1(2383) = 0.572873368264350835170189499524 Theorem 4: I1prime(2383) = 0.576137900370605554785141984475 Theorem 4: I3(2383) = 0.565696488440122710308205750065 Theorem 4: I3prime(2383) = 0.568961020546377429923158235016 --------- EK(2389) = 9.26744606424750873187297544686 EK(2389)plus = 10.1380315613882022668748742569 gammaK2(2389) = 10.1380315613882022668748742569 gammaK2(2389)plus = 9.38281611747808451311233647308 gammaK3(2389) = 4.70752462497647404157388647943 gammaK3(2389)plus = 6.15110873772409592648500775933 gammaK6(2389) = 6.15110873772409592648500775933 gammaK6(2389)plus = 3.68738329588704563981657490166 Theorem 4: I1(2389) = 0.572604327195780072204631215054 Theorem 4: I1prime(2389) = 0.575861710004542974019387715752 Theorem 4: I2(2389) = 0.569987140566208966417932060610 Theorem 4: I2prime(2389) = 0.573244523374971868232688561308 Theorem 4: I3(2389) = 0.567670501291884015489412987645 Theorem 4: I3prime(2389) = 0.570927884100646917304169488343 Theorem 4: I6(2389) = 0.574132963301385226800072646503 Theorem 4: I6prime(2389) = 0.577390346110148128614829147201 --------- EK(2393) = 6.63762451994699501337318473317 EK(2393)plus = 7.69474219682362622695935030669 gammaK2(2393) = 7.69474219682362622695935030669 gammaK2(2393)plus = 4.07645851479856861667192300956 gammaK4(2393) = 4.07645851479856861667192300956 gammaK4(2393)plus = 3.98167418853931579677377494112 Theorem 4: I1(2393) = 0.573555500809237520619559337452 Theorem 4: I1prime(2393) = 0.576808135879433328865027748596 Theorem 4: I2(2393) = 0.576829855981931099055818140146 Theorem 4: I2prime(2393) = 0.580082491052126907301286551290 Theorem 4: I4(2393) = 0.570710409889241457955807917367 Theorem 4: I4prime(2393) = 0.573963044959437266201276328511 --------- EK(2399) = 4.47168643204421426656209367801 EK(2399)plus = 8.02921765325407292542831166114 Theorem 4: I1(2399) = 0.572382472901766001159121662433 Theorem 4: I1prime(2399) = 0.575628013878763371706837522340 --------- EK(2411) = 7.92393913089774811745810918564 EK(2411)plus = 7.28256909034275960241482737848 gammaK5(2411) = 0.382027432323243405704765382038 gammaK5(2411)plus = -43.6112722627794949364325523571 Theorem 4: I1(2411) = 0.574458639797477023156809924224 Theorem 4: I1prime(2411) = 0.577690090784274189567484071527 Theorem 4: I5(2411) = 0.758961184625382313121365193711 Theorem 4: I5prime(2411) = 0.762192635612179479532039341014 --------- EK(2417) = 8.63716391352550343832807162229 EK(2417)plus = 8.75235856115073472399355194864 gammaK2(2417) = 8.75235856115073472399355194864 gammaK2(2417)plus = 8.23251669618878564604375875113 gammaK4(2417) = 8.23251669618878564604375875113 gammaK4(2417)plus = 7.28729915971807365239801307785 Theorem 4: I1(2417) = 0.573543985405090914981466192325 Theorem 4: I1prime(2417) = 0.576768440032865535433322899573 Theorem 4: I2(2417) = 0.570828331055626725516656276953 Theorem 4: I2prime(2417) = 0.574052785683401345968512984201 Theorem 4: I4(2417) = 0.566710191262666740938955593209 Theorem 4: I4prime(2417) = 0.569934645890441361390812300457 --------- EK(2423) = 9.56299353812187258965941221881 EK(2423)plus = 7.98990961203198001153134288770 Theorem 4: I1(2423) = 0.574564945175549981348486678930 Theorem 4: I1prime(2423) = 0.577782435563996110882758933813 --------- EK(2437) = 7.26932231091620803235239402084 EK(2437)plus = 7.48374271251061591792726295128 gammaK2(2437) = 7.48374271251061591792726295128 gammaK2(2437)plus = 5.88279099337208695678783603790 gammaK3(2437) = 5.85592718244967326307532563056 gammaK3(2437)plus = 6.46288305797031825320210289933 gammaK6(2437) = 6.46288305797031825320210289933 gammaK6(2437)plus = 6.89147859870317208933543543216 Theorem 4: I1(2437) = 0.574054185230659072384758328103 Theorem 4: I1prime(2437) = 0.577255549374183377074790629218 Theorem 4: I2(2437) = 0.573697569139318507322161973969 Theorem 4: I2prime(2437) = 0.576898933282842812012194275085 Theorem 4: I3(2437) = 0.568505024140899255251808995908 Theorem 4: I3prime(2437) = 0.571706388284423559941841297024 Theorem 4: I6(2437) = 0.559178040508479781221884503220 Theorem 4: I6prime(2437) = 0.562379404652004085911916804336 --------- EK(2441) = 10.0757991940810271099926256902 EK(2441)plus = 10.8531151181476127983050918683 gammaK2(2441) = 10.8531151181476127983050918683 gammaK2(2441)plus = 10.4738494179530002477441915450 gammaK4(2441) = 10.4738494179530002477441915450 gammaK4(2441)plus = 6.88408136607138456441445475705 gammaK5(2441) = 8.88370020606200373309517834357 gammaK5(2441)plus = 2.62350962059654263561644154536 Theorem 4: I1(2441) = 0.572447784643189499066029701112 Theorem 4: I1prime(2441) = 0.575644572786793171225500743320 Theorem 4: I2(2441) = 0.568938795634400080795575399702 Theorem 4: I2prime(2441) = 0.572135583778003752955046441911 Theorem 4: I4(2441) = 0.571809910635412577732341288425 Theorem 4: I4prime(2441) = 0.575006698779016249891812330633 Theorem 4: I5(2441) = 0.584661329198101128618198205268 Theorem 4: I5prime(2441) = 0.587858117341704800777669247477 --------- EK(2447) = 7.72868875560702377583252168993 EK(2447)plus = 7.24375258125770619437995169309 Theorem 4: I1(2447) = 0.574451148811157972973310667504 Theorem 4: I1prime(2447) = 0.577641098959744510856608599151 --------- EK(2459) = 6.18374450244979673074128501490 EK(2459)plus = 7.33783896107124484481273299467 Theorem 4: I1(2459) = 0.573759558397596782420488442253 Theorem 4: I1prime(2459) = 0.576935925379784004782433831378 --------- EK(2467) = 10.1351475001711169084870183526 EK(2467)plus = 7.42083972588038230397148276453 gammaK3(2467) = 7.76537781133244407773107780150 gammaK3(2467)plus = 6.22120336347890570085882734754 Theorem 4: I1(2467) = 0.575305811158143182626937668105 Theorem 4: I1prime(2467) = 0.578473190767441380801515089046 Theorem 4: I3(2467) = 0.571521995442609909849625041038 Theorem 4: I3prime(2467) = 0.574689375051908108024202461980 --------- EK(2473) = 10.2799316036438088646312966222 EK(2473)plus = 10.5120098453460988708770200933 gammaK2(2473) = 10.5120098453460988708770200933 gammaK2(2473)plus = 9.86686898003633553575543038414 gammaK3(2473) = 10.6777668454999546456210212996 gammaK3(2473)plus = 8.99337583523449157379300710690 gammaK4(2473) = 9.86686898003633553575543038414 gammaK4(2473)plus = 9.16016910532224500587927841438 gammaK6(2473) = 8.99337583523449157379300710690 gammaK6(2473)plus = 1.39652210402540479624486130212 Theorem 4: I1(2473) = 0.572868072360469203517593157837 Theorem 4: I1prime(2473) = 0.576028746821440650202450105255 Theorem 4: I2(2473) = 0.569752162644908634354636121132 Theorem 4: I2prime(2473) = 0.572912837105880081039493068550 Theorem 4: I3(2473) = 0.568341701916787715037762272289 Theorem 4: I3prime(2473) = 0.571502376377759161722619219707 Theorem 4: I4(2473) = 0.563531797741226831605398848348 Theorem 4: I4prime(2473) = 0.566692472202198278290255795766 Theorem 4: I6(2473) = 0.592257341971248177438110215216 Theorem 4: I6prime(2473) = 0.595418016432219624122967162635 --------- EK(2477) = 9.16876809583885471093946373416 EK(2477)plus = 7.64840161777742250868257974211 gammaK2(2477) = 7.64840161777742250868257974211 gammaK2(2477)plus = 8.02200283034357387003155379680 Theorem 4: I1(2477) = 0.574739416371318688013550585198 Theorem 4: I1prime(2477) = 0.577895637465619721760540929241 Theorem 4: I2(2477) = 0.570431528985536070408509248244 Theorem 4: I2prime(2477) = 0.573587750079837104155499592287 --------- EK(2503) = 10.5766104739186224331776738733 EK(2503)plus = 9.31411305278740946505553920642 gammaK3(2503) = 7.61035354536010161026123589396 gammaK3(2503)plus = 5.91486499268373380113375158929 Theorem 4: I1(2503) = 0.573996343067921374829579394431 Theorem 4: I1prime(2503) = 0.577123939107662291781779374016 Theorem 4: I3(2503) = 0.572152710421860070547808891924 Theorem 4: I3prime(2503) = 0.575280306461600987500008871509 --------- EK(2521) = 10.3303629792118160912593673104 EK(2521)plus = 9.09927038757269172906759957987 gammaK2(2521) = 9.09927038757269172906759957987 gammaK2(2521)plus = -29.4867595329265880369493203834 gammaK3(2521) = 7.82117836457547973185219346390 gammaK3(2521)plus = 8.45949978678331601701300947264 gammaK4(2521) = -29.4867595329265880369493203834 gammaK4(2521)plus = -10.6361127842082645634464259544 gammaK5(2521) = 5.14238779291792659129389492341 gammaK5(2521)plus = 2.45810482977969564540118769244 gammaK6(2521) = 8.45949978678331601701300947264 gammaK6(2521)plus = -14.5235654684302199948572497462 Theorem 4: I1(2521) = 0.574092138752521809698797301726 Theorem 4: I1prime(2521) = 0.577200238326802730264232109815 Theorem 4: I2(2521) = 0.631239221531573802576671459557 Theorem 4: I2prime(2521) = 0.634347321105854723142106267646 Theorem 4: I3(2521) = 0.566381225248478773436584399262 Theorem 4: I3prime(2521) = 0.569489324822759694002019207350 Theorem 4: I4(2521) = 0.564171788609335495796001132491 Theorem 4: I4prime(2521) = 0.567279888183616416361435940579 Theorem 4: I5(2521) = 0.577658264174914317709540035976 Theorem 4: I5prime(2521) = 0.580766363749195238274974844065 Theorem 4: I6(2521) = 0.666509766387412563192612266646 Theorem 4: I6prime(2521) = 0.669617865961693483758047074735 --------- EK(2531) = 7.61230192325157740224535736018 EK(2531)plus = 8.14599368712095648389573848816 gammaK5(2531) = 1.54149624057671223693334752105 gammaK5(2531)plus = 5.20928782750300119967603759249 Theorem 4: I1(2531) = 0.573783734929065536620059444590 Theorem 4: I1prime(2531) = 0.576881114281059656799132923242 Theorem 4: I5(2531) = 0.559665908392083682182405763714 Theorem 4: I5prime(2531) = 0.562763287744077802361479242365 --------- EK(2539) = 9.14770388522593559868668643819 EK(2539)plus = 6.74089618613593811738185877372 gammaK3(2539) = 9.32639328402975587730067356411 gammaK3(2539)plus = 0.195394417449964195662905438319 Theorem 4: I1(2539) = 0.575506769177886997658266529536 Theorem 4: I1prime(2539) = 0.578595628745146524228468086253 Theorem 4: I3(2539) = 0.587774193967209654884768190710 Theorem 4: I3prime(2539) = 0.590863053534469181454969747427 --------- EK(2543) = 4.22947319138940926241909324704 EK(2543)plus = 7.33128608268095911985500837016 Theorem 4: I1(2543) = 0.573110163881748860457340822457 Theorem 4: I1prime(2543) = 0.576194782200168262359779632466 --------- EK(2549) = 5.64314001558865627944859336804 EK(2549)plus = 8.55814700418562844781826232826 gammaK2(2549) = 8.55814700418562844781826232826 gammaK2(2549)plus = 8.35291773233785991198536259664 Theorem 4: I1(2549) = 0.572711649096047713502265416205 Theorem 4: I1prime(2549) = 0.575789928689601918934859167040 Theorem 4: I2(2549) = 0.570817888810415399396476723822 Theorem 4: I2prime(2549) = 0.573896168403969604829070474657 --------- EK(2551) = 8.53028022849464210873609012508 EK(2551)plus = 6.92940311350156697129189853149 gammaK3(2551) = 7.43621898609611647890020559317 gammaK3(2551)plus = 6.14720677081567195612122432242 gammaK5(2551) = 8.14236367398068900447452543855 gammaK5(2551)plus = 7.00997220798959476852990918752 Theorem 4: I1(2551) = 0.575124840520615552496138136903 Theorem 4: I1prime(2551) = 0.578201013351259400102011806003 Theorem 4: I3(2551) = 0.571496522868161247334808423352 Theorem 4: I3prime(2551) = 0.574572695698805094940682092452 Theorem 4: I5(2551) = 0.565684965068534538292411763405 Theorem 4: I5prime(2551) = 0.568761137899178385898285432504 --------- EK(2557) = 10.1454954347002670797321055753 EK(2557)plus = 8.18429002341717454029661984928 gammaK2(2557) = 8.18429002341717454029661984928 gammaK2(2557)plus = 8.72020742919648885311255343334 gammaK3(2557) = 6.76550092451903305571291556701 gammaK3(2557)plus = 7.62153920033032034478683905575 gammaK6(2557) = 7.62153920033032034478683905575 gammaK6(2557)plus = 7.94080152386607517858464747773 Theorem 4: I1(2557) = 0.574779767216471658026186127751 Theorem 4: I1prime(2557) = 0.577849638098823452478211722397 Theorem 4: I2(2557) = 0.569970598621518654847215914330 Theorem 4: I2prime(2557) = 0.573040469503870449299241508976 Theorem 4: I3(2557) = 0.567261853461363894141356235459 Theorem 4: I3prime(2557) = 0.570331724343715688593381830105 Theorem 4: I6(2557) = 0.557818637393823513642111898781 Theorem 4: I6prime(2557) = 0.560888508276175308094137493427 --------- EK(2579) = 9.50347949551685931419232135617 EK(2579)plus = 8.67017731494207740418740927903 Theorem 4: I1(2579) = 0.574174577961704117977201330933 Theorem 4: I1prime(2579) = 0.577221574472907122157841216291 --------- EK(2591) = 9.42725856749313410615635070442 EK(2591)plus = 9.49169462356644839152908826970 gammaK5(2591) = 3.85143282374615307752125604470 gammaK5(2591)plus = 5.93982481864263279357444865753 Theorem 4: I1(2591) = 0.573524867468661026936300322338 Theorem 4: I1prime(2591) = 0.576559538966947555882952944917 Theorem 4: I5(2591) = 0.561711318405321665551349360559 Theorem 4: I5prime(2591) = 0.564745989903608194498001983139 --------- EK(2593) = 7.93961735234495134979519115793 EK(2593)plus = 8.95317020738754451615088237991 gammaK2(2593) = 8.95317020738754451615088237991 gammaK2(2593)plus = 7.49914182997718842560326352190 gammaK3(2593) = 7.15953495457111193282449210803 gammaK3(2593)plus = 7.45943189442474453493279501891 gammaK4(2593) = 7.49914182997718842560326352190 gammaK4(2593)plus = 6.31056397262035060045892974948 gammaK6(2593) = 7.45943189442474453493279501891 gammaK6(2593)plus = 6.42613299924481947294818863276 Theorem 4: I1(2593) = 0.573369308539631620153717811602 Theorem 4: I1prime(2593) = 0.576401936157509191289914031547 Theorem 4: I2(2593) = 0.572548885518674288148030731376 Theorem 4: I2prime(2593) = 0.575581513136551859284226951321 Theorem 4: I3(2593) = 0.568231450246560343583158740372 Theorem 4: I3prime(2593) = 0.571264077864437914719354960318 Theorem 4: I4(2593) = 0.569306685360049233528655929285 Theorem 4: I4prime(2593) = 0.572339312977926804664852149230 Theorem 4: I6(2593) = 0.564725232652267184722021862151 Theorem 4: I6prime(2593) = 0.567757860270144755858218082096 --------- EK(2609) = 8.62281695397288333260369517910 EK(2609)plus = 9.21191651744754871123456474831 gammaK2(2609) = 9.21191651744754871123456474831 gammaK2(2609)plus = -0.735794686750062402929266181877 gammaK4(2609) = -0.735794686750062402929266181877 gammaK4(2609)plus = -3.84390843716851150849644416570 Theorem 4: I1(2609) = 0.573456450000395393205181927656 Theorem 4: I1prime(2609) = 0.576472831244696286008811218961 Theorem 4: I2(2609) = 0.585406224341489434704893583810 Theorem 4: I2prime(2609) = 0.588422605585790327508522875116 Theorem 4: I4(2609) = 0.587873649267089087172861772380 Theorem 4: I4prime(2609) = 0.590890030511389979976491063686 --------- EK(2617) = 9.42531718471053396513776697054 EK(2617)plus = 7.32679091832368796717441573590 gammaK2(2617) = 7.32679091832368796717441573590 gammaK2(2617)plus = 6.80455568969294434379000866268 gammaK3(2617) = 8.25722265000019649002228793849 gammaK3(2617)plus = 5.57173895869356798508640789555 gammaK4(2617) = 6.80455568969294434379000866268 gammaK4(2617)plus = 6.84038600824974291188471993881 gammaK6(2617) = 5.57173895869356798508640789555 gammaK6(2617)plus = 6.41848289844694712878284456619 Theorem 4: I1(2617) = 0.575215942814714547061818659795 Theorem 4: I1prime(2617) = 0.578224269994580810768767789199 Theorem 4: I2(2617) = 0.572410367662815684013153870878 Theorem 4: I2prime(2617) = 0.575418694842681947720103000282 Theorem 4: I3(2617) = 0.573902289219690193469060855011 Theorem 4: I3prime(2617) = 0.576910616399556457176009984415 Theorem 4: I4(2617) = 0.566696972770055172925034444296 Theorem 4: I4prime(2617) = 0.569705299949921436631983573699 Theorem 4: I6(2617) = 0.560545400760752602495993213096 Theorem 4: I6prime(2617) = 0.563553727940618866202942342499 --------- EK(2621) = 9.13823904298540307860847996841 EK(2621)plus = 9.17638957585831385875683421772 gammaK2(2621) = 9.17638957585831385875683421772 gammaK2(2621)plus = 8.82964593328288571587071678973 gammaK5(2621) = 7.63857636345273053115108933938 gammaK5(2621)plus = 4.13682744227599484470270340018 Theorem 4: I1(2621) = 0.573697518174057898197521803360 Theorem 4: I1prime(2621) = 0.576701835427234770846884547928 Theorem 4: I2(2621) = 0.570737873597746116754883111375 Theorem 4: I2prime(2621) = 0.573742190850922989404245855943 Theorem 4: I5(2621) = 0.575997949561165616272726440835 Theorem 4: I5prime(2621) = 0.579002266814342488922089185403 --------- EK(2633) = 10.8950692386241222634516622727 EK(2633)plus = 9.02891292459552409744007983538 gammaK2(2633) = 9.02891292459552409744007983538 gammaK2(2633)plus = 4.70193774383625356391164171763 gammaK4(2633) = 4.70193774383625356391164171763 gammaK4(2633)plus = 6.28464084379397393402508444038 Theorem 4: I1(2633) = 0.574493115902341870512514377799 Theorem 4: I1prime(2633) = 0.577485471206101866485995710484 Theorem 4: I2(2633) = 0.576928465115529256483140748948 Theorem 4: I2prime(2633) = 0.579920820419289252456622081633 Theorem 4: I4(2633) = 0.565254667486554966533393536137 Theorem 4: I4prime(2633) = 0.568247022790314962506874868822 --------- EK(2647) = 8.27913980521259482266856820475 EK(2647)plus = 8.48193650679779277162772721444 gammaK3(2647) = 7.34711511203870779624353288633 gammaK3(2647)plus = 6.95897436513756057850886625518 Theorem 4: I1(2647) = 0.573932327133092810114870006284 Theorem 4: I1prime(2647) = 0.576910854042475690412937511851 Theorem 4: I3(2647) = 0.569762363149666878473777093337 Theorem 4: I3prime(2647) = 0.572740890059049758771844598904 --------- EK(2657) = 10.8769269486633040741431787599 EK(2657)plus = 8.68544279579284235826987726701 gammaK2(2657) = 8.68544279579284235826987726701 gammaK2(2657)plus = -12.8917896821549080292156499113 gammaK4(2657) = -12.8917896821549080292156499113 gammaK4(2657)plus = -7.85957930884815233493733163053 Theorem 4: I1(2657) = 0.574769532606651017326051667017 Theorem 4: I1prime(2657) = 0.577738264890446127832359555295 Theorem 4: I2(2657) = 0.603169018386336221529851600023 Theorem 4: I2prime(2657) = 0.606137750670131332036159488302 Theorem 4: I4(2657) = 0.581469279665475031585657730838 Theorem 4: I4prime(2657) = 0.584438011949270142091965619116 --------- EK(2659) = 9.85681014147991094742740016147 EK(2659)plus = 9.56080710639702648483843673986 gammaK3(2659) = 7.64604495828903997548964620960 gammaK3(2659)plus = 8.54564864386697655195284654321 Theorem 4: I1(2659) = 0.573728918907222877920832184885 Theorem 4: I1prime(2659) = 0.576695700469014834208546881562 Theorem 4: I3(2659) = 0.566551760713037708140706490112 Theorem 4: I3prime(2659) = 0.569518542274829664428421186789 --------- EK(2663) = 9.42134113846961976072856801718 EK(2663)plus = 8.90505779627693514231563918202 Theorem 4: I1(2663) = 0.574063246666236688356888768556 Theorem 4: I1prime(2663) = 0.577026134940396692951460325197 --------- EK(2671) = 9.02064185448065717032904805586 EK(2671)plus = 9.48440667719482307763379215421 gammaK3(2671) = 8.49481933617998782992163890763 gammaK3(2671)plus = 8.96311759967411199483675476548 gammaK5(2671) = 8.37518876027628907647633642989 gammaK5(2671)plus = 7.44076574617975995009499298976 Theorem 4: I1(2671) = 0.573488651180906942084628700033 Theorem 4: I1prime(2671) = 0.576443785343120410574743879314 Theorem 4: I3(2671) = 0.566615248050599771136577274574 Theorem 4: I3prime(2671) = 0.569570382212813239626692453855 Theorem 4: I5(2671) = 0.565025968522796073542460096208 Theorem 4: I5prime(2671) = 0.567981102685009542032575275489 --------- EK(2677) = 6.29891534700144517781789930657 EK(2677)plus = 7.79783905973850835417000194322 gammaK2(2677) = 7.79783905973850835417000194322 gammaK2(2677)plus = 7.09492818522192625227641922277 gammaK3(2677) = 1.17039032573931975934073349650 gammaK3(2677)plus = 4.97051511881588110030371162186 gammaK6(2677) = 4.97051511881588110030371162186 gammaK6(2677)plus = 6.29189831584044583598962219591 Theorem 4: I1(2677) = 0.573740436157408016483562191574 Theorem 4: I1prime(2677) = 0.576689782959919358975386020454 Theorem 4: I2(2677) = 0.572436168147042684602868846188 Theorem 4: I2prime(2677) = 0.575385514949554027094692675068 Theorem 4: I3(2677) = 0.567379802503892777889294025535 Theorem 4: I3prime(2677) = 0.570329149306404120381117854416 Theorem 4: I6(2677) = 0.560138914095103439274298286049 Theorem 4: I6prime(2677) = 0.563088260897614781766122114930 --------- EK(2683) = 7.26069805160953604569945056248 EK(2683)plus = 7.82396192073960811116442340958 gammaK3(2683) = 3.92021921208192680894731191155 gammaK3(2683)plus = 6.42138121205376912554973567810 Theorem 4: I1(2683) = 0.574087339258977427409773255988 Theorem 4: I1prime(2683) = 0.577030922722969084433930039438 Theorem 4: I3(2683) = 0.567231898911052320227120237478 Theorem 4: I3prime(2683) = 0.570175482375043977251277020928 --------- EK(2687) = 10.1603189383622898065056082499 EK(2687)plus = 10.5403603632749305836730747944 Theorem 4: I1(2687) = 0.573148895898295474595369811953 Theorem 4: I1prime(2687) = 0.576088650406342939682987529898 --------- EK(2689) = 9.66931012198892316453394888505 EK(2689)plus = 10.1722337618851030619238197705 gammaK2(2689) = 10.1722337618851030619238197705 gammaK2(2689)plus = 8.74798903922334126717669095241 gammaK3(2689) = 6.79948085227981679700878298501 gammaK3(2689)plus = 7.77423604840754029432975950174 gammaK4(2689) = 8.74798903922334126717669095241 gammaK4(2689)plus = 5.40562343663914187418826892183 gammaK6(2689) = 7.77423604840754029432975950174 gammaK6(2689)plus = 6.15102673489302825700591814833 Theorem 4: I1(2689) = 0.573243159229741405769302321827 Theorem 4: I1prime(2689) = 0.576181003223889048875468737281 Theorem 4: I2(2689) = 0.571764264484452706502690863483 Theorem 4: I2prime(2689) = 0.574702108478600349608857278937 Theorem 4: I3(2689) = 0.567447886900941999630220904330 Theorem 4: I3prime(2689) = 0.570385730895089642736387319784 Theorem 4: I4(2689) = 0.574140968952055047921532903614 Theorem 4: I4prime(2689) = 0.577078812946202691027699319068 Theorem 4: I6(2689) = 0.567102371898468878769931190059 Theorem 4: I6prime(2689) = 0.570040215892616521876097605513 --------- EK(2693) = 5.88076602492378658844893458497 EK(2693)plus = 6.67936278468973714135997278981 gammaK2(2693) = 6.67936278468973714135997278981 gammaK2(2693)plus = 2.62640203796750156720850532186 Theorem 4: I1(2693) = 0.574436729695246731479225269281 Theorem 4: I1prime(2693) = 0.577370760561818647864335872822 Theorem 4: I2(2693) = 0.578273335538894050866956259133 Theorem 4: I2prime(2693) = 0.581207366405465967252066862675 --------- EK(2699) = 5.25772356304603762548475008748 EK(2699)plus = 7.06804738845172131478837493595 Theorem 4: I1(2699) = 0.573923856323067372250134863898 Theorem 4: I1prime(2699) = 0.576852187165549953663891325783 --------- EK(2707) = 9.53034382192916875079776349045 EK(2707)plus = 7.43364089108842981362512819815 gammaK3(2707) = 3.22043657375449816185497194465 gammaK3(2707)plus = 6.00628280436671843299132781961 Theorem 4: I1(2707) = 0.575242324647453498791282362440 Theorem 4: I1prime(2707) = 0.578163091938515694350432455840 Theorem 4: I3(2707) = 0.567465055364648158943888105839 Theorem 4: I3prime(2707) = 0.570385822655710354503038199238 --------- EK(2711) = 7.59236734867860134821621498393 EK(2711)plus = 8.09597152972288379566005543449 gammaK5(2711) = 4.65111843857979344950631913820 gammaK5(2711)plus = 5.19400265775996231168086504450 Theorem 4: I1(2711) = 0.574041313347356240028859649425 Theorem 4: I1prime(2711) = 0.576958314398831762363077946483 Theorem 4: I5(2711) = 0.566625620846197792901365172651 Theorem 4: I5prime(2711) = 0.569542621897673315235583469709 --------- EK(2713) = 8.45020230527433114799995750172 EK(2713)plus = 9.48592974804885673690631170834 gammaK2(2713) = 9.48592974804885673690631170834 gammaK2(2713)plus = 4.51349122001368716005451122498 gammaK3(2713) = 7.62425039838296911418436472462 gammaK3(2713)plus = 8.68508756472671585335869632944 gammaK4(2713) = 4.51349122001368716005451122498 gammaK4(2713)plus = 6.90939022591916509421304875702 gammaK6(2713) = 8.68508756472671585335869632944 gammaK6(2713)plus = 0.274196107423972253520584949769 Theorem 4: I1(2713) = 0.573334922898354363013689057656 Theorem 4: I1prime(2713) = 0.576250044695057508937087083262 Theorem 4: I2(2713) = 0.577551971823527535585032658838 Theorem 4: I2prime(2713) = 0.580467093620230681508430684444 Theorem 4: I3(2713) = 0.566431550020042633019724008268 Theorem 4: I3prime(2713) = 0.569346671816745778943122033874 Theorem 4: I4(2713) = 0.563486749925690167134100608792 Theorem 4: I4prime(2713) = 0.566401871722393313057498634398 Theorem 4: I6(2713) = 0.595210753901714427421543347614 Theorem 4: I6prime(2713) = 0.598125875698417573344941373220 --------- EK(2719) = 9.50938675075540032067905152073 EK(2719)plus = 7.28466207849985074038051143961 gammaK3(2719) = 2.31459690362911603991554146018 gammaK3(2719)plus = 5.57273281583306252684071940884 Theorem 4: I1(2719) = 0.575352954487378315318562291850 Theorem 4: I1prime(2719) = 0.578262453915131247884142530224 Theorem 4: I3(2719) = 0.567465357807200893778331651235 Theorem 4: I3prime(2719) = 0.570374857234953826343911889610 --------- EK(2729) = 8.64844402289784501077941545393 EK(2729)plus = 9.31996928174803329315798076561 gammaK2(2729) = 9.31996928174803329315798076561 gammaK2(2729)plus = 5.75247035032504087317091379820 gammaK4(2729) = 5.75247035032504087317091379820 gammaK4(2729)plus = 5.65627999821757791448322892867 Theorem 4: I1(2729) = 0.573552030473230857162734857529 Theorem 4: I1prime(2729) = 0.576452210282874676250479185147 Theorem 4: I2(2729) = 0.575611653465527221110711803309 Theorem 4: I2prime(2729) = 0.578511833275171040198456130927 Theorem 4: I4(2729) = 0.569058788323937906391140699486 Theorem 4: I4prime(2729) = 0.571958968133581725478885027104 --------- EK(2731) = 10.2602882608763497079822678066 EK(2731)plus = 9.32943849126943002705770253499 gammaK3(2731) = 9.51259022507113799206324865841 gammaK3(2731)plus = 9.38167295763311209205317173954 gammaK5(2731) = 9.45999536176322311434461897286 gammaK5(2731)plus = 8.27876838872384944612297770940 Theorem 4: I1(2731) = 0.574138197119426549378674353748 Theorem 4: I1prime(2731) = 0.577036520607145855242557282465 Theorem 4: I3(2731) = 0.567046814337046261158262663984 Theorem 4: I3prime(2731) = 0.569945137824765567022145592701 Theorem 4: I5(2731) = 0.564211196514770598548334032620 Theorem 4: I5prime(2731) = 0.567109520002489904412216961337 --------- EK(2741) = 3.19237355092709587224386626164 EK(2741)plus = 6.91277302280537896555360888961 gammaK2(2741) = 6.91277302280537896555360888961 gammaK2(2741)plus = 7.63372247692905464655150699145 gammaK5(2741) = 6.90904353829567638759263401725 gammaK5(2741)plus = 8.40025594394952916229251002673 Theorem 4: I1(2741) = 0.573333890604350067593155353982 Theorem 4: I1prime(2741) = 0.576222970201540865327260752666 Theorem 4: I2(2741) = 0.571115255404708100661049673665 Theorem 4: I2prime(2741) = 0.574004335001898898395155072350 Theorem 4: I5(2741) = 0.559160268132918676784018492573 Theorem 4: I5prime(2741) = 0.562049347730109474518123891258 --------- EK(2749) = 11.2149182849203528115132931403 EK(2749)plus = 8.54142434151228041258388502951 gammaK2(2749) = 8.54142434151228041258388502951 gammaK2(2749)plus = 6.07907653283876774168655722479 gammaK3(2749) = 6.74428221169034734472647716049 gammaK3(2749)plus = 6.55206875847824538760484794575 gammaK6(2749) = 6.55206875847824538760484794575 gammaK6(2749)plus = 7.10004656380674002965333124938 Theorem 4: I1(2749) = 0.575079270386416596499754659407 Theorem 4: I1prime(2749) = 0.577960999821702348214697235859 Theorem 4: I2(2749) = 0.574581305037194766849231033316 Theorem 4: I2prime(2749) = 0.577463034472480518564173609768 Theorem 4: I3(2749) = 0.570269445431334793813719337563 Theorem 4: I3prime(2749) = 0.573151174866620545528661914015 Theorem 4: I6(2749) = 0.560510629751815567105602140018 Theorem 4: I6prime(2749) = 0.563392359187101318820544716469 --------- EK(2753) = 2.81032236249502362672911356033 EK(2753)plus = 6.09611189595894030325955977427 gammaK2(2753) = 6.09611189595894030325955977427 gammaK2(2753)plus = 6.32914203418146919339747102694 gammaK4(2753) = 6.32914203418146919339747102694 gammaK4(2753)plus = 6.29530511290543514356396466389 Theorem 4: I1(2753) = 0.573805497932547719116430865986 Theorem 4: I1prime(2753) = 0.576683567156800120029953590826 Theorem 4: I2(2753) = 0.572444552807326283219557944004 Theorem 4: I2prime(2753) = 0.575322622031578684133080668844 Theorem 4: I4(2753) = 0.568110510452617666573599326964 Theorem 4: I4prime(2753) = 0.570988579676870067487122051804 --------- EK(2767) = 5.65676482756813840649081302706 EK(2767)plus = 6.93101363745499466068811850621 gammaK3(2767) = 5.88428590524849927030945975613 gammaK3(2767)plus = 7.02999603255895149580041492162 Theorem 4: I1(2767) = 0.574248156664657008526472012194 Theorem 4: I1prime(2767) = 0.577113492521412947031903465421 Theorem 4: I3(2767) = 0.568345196901829867483088227240 Theorem 4: I3prime(2767) = 0.571210532758585805988519680467 --------- EK(2777) = 10.5606994462187797094250845188 EK(2777)plus = 10.3716519229881479774084707368 gammaK2(2777) = 10.3716519229881479774084707368 gammaK2(2777)plus = 9.42021853136557336264805692039 gammaK4(2777) = 9.42021853136557336264805692039 gammaK4(2777)plus = 8.16350224195943284722790499807 Theorem 4: I1(2777) = 0.573546550811715268600210139246 Theorem 4: I1prime(2777) = 0.576402864387834432702568706079 Theorem 4: I2(2777) = 0.571112176822772689200179235853 Theorem 4: I2prime(2777) = 0.573968490398891853302537802686 Theorem 4: I4(2777) = 0.567259408033911230208947087716 Theorem 4: I4prime(2777) = 0.570115721610030394311305654549 --------- EK(2789) = 9.16248651339446236825197434776 EK(2789)plus = 9.43619276876775540439853351651 gammaK2(2789) = 9.43619276876775540439853351651 gammaK2(2789)plus = -12.5382761391786559869858562159 Theorem 4: I1(2789) = 0.573731897114489383831020988579 Theorem 4: I1prime(2789) = 0.576577463250654193355119294621 Theorem 4: I2(2789) = 0.601971690354179132176703013786 Theorem 4: I2prime(2789) = 0.604817256490343941700801319827 --------- EK(2791) = 7.46753016693358660496613333430 EK(2791)plus = 7.08203948976109593140278516844 gammaK3(2791) = 6.27358503313075851751974545382 gammaK3(2791)plus = 7.74692761795104258255480626179 gammaK5(2791) = 7.55114081101848726204436918426 gammaK5(2791)plus = 4.57434873365034367641761939515 Theorem 4: I1(2791) = 0.574814448917365680715253984829 Theorem 4: I1prime(2791) = 0.577658232155192319485930638684 Theorem 4: I3(2791) = 0.567298338034856351696446989304 Theorem 4: I3prime(2791) = 0.570142121272682990467123643160 Theorem 4: I5(2791) = 0.574347563755439622739914336928 Theorem 4: I5prime(2791) = 0.577191346993266261510590990784 --------- EK(2797) = 9.25311489611460835765590231359 EK(2797)plus = 9.77093025680536368241514799664 gammaK2(2797) = 9.77093025680536368241514799664 gammaK2(2797)plus = 7.88781042208527688778167405076 gammaK3(2797) = 7.65806944375691836123401673973 gammaK3(2797)plus = 6.41379203645504095019166406064 gammaK6(2797) = 6.41379203645504095019166406064 gammaK6(2797)plus = 6.44183145688247932395608435639 Theorem 4: I1(2797) = 0.573534840843506430208320945287 Theorem 4: I1prime(2797) = 0.576373289589286816376368113449 Theorem 4: I2(2797) = 0.572918433831353339519733658557 Theorem 4: I2prime(2797) = 0.575756882577133725687780826719 Theorem 4: I3(2797) = 0.571665929839409530214540675329 Theorem 4: I3prime(2797) = 0.574504378585189916382587843492 Theorem 4: I6(2797) = 0.563325730725447671585292021798 Theorem 4: I6prime(2797) = 0.566164179471228057753339189961 --------- EK(2801) = 9.31248937537808182350032325004 EK(2801)plus = 9.70562667076273122308264760143 gammaK2(2801) = 9.70562667076273122308264760143 gammaK2(2801)plus = 5.66365658290871650950987381845 gammaK4(2801) = 5.66365658290871650950987381845 gammaK4(2801)plus = 6.49410770327223021232945427391 gammaK5(2801) = -173.017095628638776769736757675 gammaK5(2801)plus = -82.3213926227745971680978177756 Theorem 4: I1(2801) = 0.573607951019263992513146517223 Theorem 4: I1prime(2801) = 0.576442855224714031271778571917 Theorem 4: I2(2801) = 0.576055292473489895010300852875 Theorem 4: I2prime(2801) = 0.578890196678939933768932907569 Theorem 4: I4(2801) = 0.566747959576045440672358280391 Theorem 4: I4prime(2801) = 0.569582863781495479430990335085 Theorem 4: I5(2801) = 0.562256476888506016905976814763 Theorem 4: I5prime(2801) = 0.565091381093956055664608869458 --------- EK(2803) = 5.62516564854424307308438671165 EK(2803)plus = 7.79861590967521589544130833450 gammaK3(2803) = 4.88717058637092925257718230587 gammaK3(2803)plus = 5.65550558339883574642070722330 Theorem 4: I1(2803) = 0.573655743664465258545025773498 Theorem 4: I1prime(2803) = 0.576488879121697517031454886685 Theorem 4: I3(2803) = 0.570334857925211688766307955978 Theorem 4: I3prime(2803) = 0.573167993382443947252737069165 --------- EK(2819) = 6.42431503911234724094358458920 EK(2819)plus = 7.74693850734008992942209119214 Theorem 4: I1(2819) = 0.573996225212058012155613567483 Theorem 4: I1prime(2819) = 0.576815294584348328887052458118 --------- EK(2833) = 8.26835348968198018482372208867 EK(2833)plus = 9.24831361936286721580292966297 gammaK2(2833) = 9.24831361936286721580292966297 gammaK2(2833)plus = 9.24961084246887261829413018444 gammaK3(2833) = 7.08022185133933605165007578065 gammaK3(2833)plus = 5.27016477880611908901398073655 gammaK4(2833) = 9.24961084246887261829413018444 gammaK4(2833)plus = 7.19522136933756404283833497075 gammaK6(2833) = 5.27016477880611908901398073655 gammaK6(2833)plus = 4.97648096932214581151731360794 Theorem 4: I1(2833) = 0.573602995186972301881040255745 Theorem 4: I1prime(2833) = 0.576409877778720365635137861037 Theorem 4: I2(2833) = 0.570680555474861514501611363874 Theorem 4: I2prime(2833) = 0.573487438066609578255708969166 Theorem 4: I3(2833) = 0.573547323176040646422050243369 Theorem 4: I3prime(2833) = 0.576354205767788710176147848661 Theorem 4: I4(2833) = 0.569950638377806866918465992113 Theorem 4: I4prime(2833) = 0.572757520969554930672563597405 Theorem 4: I6(2833) = 0.567288537692994893238345259395 Theorem 4: I6prime(2833) = 0.570095420284742956992442864687 --------- EK(2837) = 9.96001831153605177839294257912 EK(2837)plus = 9.40611409648932268684097118812 gammaK2(2837) = 9.40611409648932268684097118812 gammaK2(2837)plus = 7.66072704949123438199048135988 Theorem 4: I1(2837) = 0.574093304780724882449441796284 Theorem 4: I1prime(2837) = 0.576896725949557340611795211390 Theorem 4: I2(2837) = 0.573042079976524413120403243152 Theorem 4: I2prime(2837) = 0.575845501145356871282756658259 --------- EK(2843) = 10.7521305855514809721607186247 EK(2843)plus = 10.3088801813182911013181657712 Theorem 4: I1(2843) = 0.573743311621069123403177456787 Theorem 4: I1prime(2843) = 0.576541557613909024804592363624 --------- EK(2851) = 7.81867792052599551072442135584 EK(2851)plus = 6.83481027123649699522776186034 gammaK3(2851) = 8.54384768901149921585911638941 gammaK3(2851)plus = 7.94205457237823567197893339894 gammaK5(2851) = 4.23065494954486296319770558625 gammaK5(2851)plus = -7.02561893987252198590893216512 Theorem 4: I1(2851) = 0.575161723147437710303129353677 Theorem 4: I1prime(2851) = 0.577953100371617595212825744558 Theorem 4: I3(2851) = 0.569486135603670595329661093452 Theorem 4: I3prime(2851) = 0.572277512827850480239357484333 Theorem 4: I5(2851) = 0.609284263940244662448803096268 Theorem 4: I5prime(2851) = 0.612075641164424547358499487149 --------- EK(2857) = 9.27645146570564720560460010200 EK(2857)plus = 9.12190826958438278690056714285 gammaK2(2857) = 9.12190826958438278690056714285 gammaK2(2857)plus = 8.84996638175049726436276293967 gammaK3(2857) = 9.66895112557626489612739871813 gammaK3(2857)plus = 8.87967697488403488829180056700 gammaK4(2857) = 8.84996638175049726436276293967 gammaK4(2857)plus = 9.34133215429441135906123522266 gammaK6(2857) = 8.87967697488403488829180056700 gammaK6(2857)plus = 7.36602000685111361448238850328 Theorem 4: I1(2857) = 0.574074855614924479897287045132 Theorem 4: I1prime(2857) = 0.576861104705341417247481238419 Theorem 4: I2(2857) = 0.571206693792984521195325008199 Theorem 4: I2prime(2857) = 0.573992942883401458545519201486 Theorem 4: I3(2857) = 0.568714415874975904915538984401 Theorem 4: I3prime(2857) = 0.571500664965392842265733177687 Theorem 4: I4(2857) = 0.563440476980064033728206905630 Theorem 4: I4prime(2857) = 0.566226726070480971078401098917 Theorem 4: I6(2857) = 0.564914931103405530190497025728 Theorem 4: I6prime(2857) = 0.567701180193822467540691219015 --------- EK(2861) = 8.81306715140776852822365454990 EK(2861)plus = 8.69622870942925177135509294653 gammaK2(2861) = 8.69622870942925177135509294653 gammaK2(2861)plus = 8.50782193764674748986914574222 gammaK5(2861) = -10.5751892049787683797478754936 gammaK5(2861)plus = -2.03554029963479489861318200667 Theorem 4: I1(2861) = 0.574214905073252485985296981772 Theorem 4: I1prime(2861) = 0.576997746504388888173975405285 Theorem 4: I2(2861) = 0.571395946015312315424293994305 Theorem 4: I2prime(2861) = 0.574178787446448717612972417818 Theorem 4: I5(2861) = 0.565839980553385456787088681160 Theorem 4: I5prime(2861) = 0.568622821984521858975767104672 --------- EK(2879) = 10.4554853047276458869773384405 EK(2879)plus = 9.69198326890663288847524374532 Theorem 4: I1(2879) = 0.574112381771271586125399632241 Theorem 4: I1prime(2879) = 0.576879997577599652793904248213 --------- EK(2887) = 8.33862822582008791270413400083 EK(2887)plus = 8.96464253483457444826812478900 gammaK3(2887) = 9.16550380573962538892388276141 gammaK3(2887)plus = 7.95666246959747570590989413681 Theorem 4: I1(2887) = 0.573891542327272042984023915660 Theorem 4: I1prime(2887) = 0.576652447794930717652779721162 Theorem 4: I3(2887) = 0.570198427854835371315904334035 Theorem 4: I3prime(2887) = 0.572959333322494045984660139537 --------- EK(2897) = 9.16392814122355396018742476339 EK(2897)plus = 8.51676950773036295339167992580 gammaK2(2897) = 8.51676950773036295339167992580 gammaK2(2897)plus = 5.20410950211298601041848892429 gammaK4(2897) = 5.20410950211298601041848892429 gammaK4(2897)plus = -0.276170403330927615996201030670 Theorem 4: I1(2897) = 0.574497307360030982026161592068 Theorem 4: I1prime(2897) = 0.577249873312299404125268754872 Theorem 4: I2(2897) = 0.575907514305919685544672031322 Theorem 4: I2prime(2897) = 0.578660080258188107643779194126 Theorem 4: I4(2897) = 0.585162761231398292678765935142 Theorem 4: I4prime(2897) = 0.587915327183666714777873097946 --------- EK(2903) = 4.26237123055535396604266993026 EK(2903)plus = 6.42659255557816340143863748521 Theorem 4: I1(2903) = 0.574254410088142436667986108912 Theorem 4: I1prime(2903) = 0.577001997946179869435778425196 --------- EK(2909) = 10.2565785510234031821255015973 EK(2909)plus = 10.2797452289694569653932996083 gammaK2(2909) = 10.2797452289694569653932996083 gammaK2(2909)plus = 9.43504304331624666765820696077 Theorem 4: I1(2909) = 0.573671767193227261427146011589 Theorem 4: I1prime(2909) = 0.576414396030398926362604651612 Theorem 4: I2(2909) = 0.571305703769139320004821187088 Theorem 4: I2prime(2909) = 0.574048332606310984940279827111 --------- EK(2917) = 10.6018603457504494103853695416 EK(2917)plus = 11.0748619383786439551905061511 gammaK2(2917) = 11.0748619383786439551905061511 gammaK2(2917)plus = 8.25132227056947665902372992968 gammaK3(2917) = 9.82890997383045019444879535190 gammaK3(2917)plus = 9.36903945741509833057189747722 gammaK6(2917) = 9.36903945741509833057189747722 gammaK6(2917)plus = 7.14650593008411728853940899988 Theorem 4: I1(2917) = 0.573254553935383065898890968432 Theorem 4: I1prime(2917) = 0.575990600221345933326438941291 Theorem 4: I2(2917) = 0.573491029339772728761323817324 Theorem 4: I2prime(2917) = 0.576227075625735596188871790183 Theorem 4: I3(2917) = 0.568047038371403530015851032906 Theorem 4: I3prime(2917) = 0.570783084657366397443399005765 Theorem 4: I6(2917) = 0.567078404718324837738334171368 Theorem 4: I6prime(2917) = 0.569814451004287705165882144226 --------- EK(2927) = 8.50755086575846295856985055846 EK(2927)plus = 9.46810929975731542601255019559 Theorem 4: I1(2927) = 0.573650594635347772995205445149 Theorem 4: I1prime(2927) = 0.576378459736746230223198686465 --------- EK(2939) = 6.76816345424289559107858819441 EK(2939)plus = 7.79306707429359061241550324343 Theorem 4: I1(2939) = 0.574213388247245557672247115652 Theorem 4: I1prime(2939) = 0.576931504199055944790323700495 --------- EK(2953) = 6.50505069229510511459812560274 EK(2953)plus = 7.56139158381263101862615967425 gammaK2(2953) = 7.56139158381263101862615967425 gammaK2(2953)plus = 8.41522013054301195493813856293 gammaK3(2953) = 8.75540487619329212504889709170 gammaK3(2953)plus = 6.73949312047872640069303284359 gammaK4(2953) = 8.41522013054301195493813856293 gammaK4(2953)plus = 8.50214646484214153237277094560 gammaK6(2953) = 6.73949312047872640069303284359 gammaK6(2953)plus = 6.49130557776428032878687079299 Theorem 4: I1(2953) = 0.574295461883132725936165034182 Theorem 4: I1prime(2953) = 0.577002296870173350146480307498 Theorem 4: I2(2953) = 0.570933987725204653617717758968 Theorem 4: I2prime(2953) = 0.573640822712245277828033032284 Theorem 4: I3(2953) = 0.572412526487151558471809362573 Theorem 4: I3prime(2953) = 0.575119361474192182682124635890 Theorem 4: I4(2953) = 0.565573687077510757985891875175 Theorem 4: I4prime(2953) = 0.568280522064551382196207148492 Theorem 4: I6(2953) = 0.564520898905522952311611634766 Theorem 4: I6prime(2953) = 0.567227733892563576521926908082 --------- EK(2957) = 8.75341312138980903957767514787 EK(2957)plus = 8.00125293687187522862250757673 gammaK2(2957) = 8.00125293687187522862250757673 gammaK2(2957)plus = 6.44002205560153938525242684199 Theorem 4: I1(2957) = 0.574762418493401912599128874353 Theorem 4: I1prime(2957) = 0.577466048574542804756574565210 Theorem 4: I2(2957) = 0.573912894397870922559123868297 Theorem 4: I2prime(2957) = 0.576616524479011814716569559154 --------- EK(2963) = 6.68200118814790378130667270611 EK(2963)plus = 7.79922744016718621568261948097 Theorem 4: I1(2963) = 0.574204472285063901129855642883 Theorem 4: I1prime(2963) = 0.576903310079653220927685990515 --------- EK(2969) = 5.12162402773672368199135678101 EK(2969)plus = 8.08944627627529788326175539356 gammaK2(2969) = 8.08944627627529788326175539356 gammaK2(2969)plus = 7.40948920468814454704525230338 gammaK4(2969) = 7.40948920468814454704525230338 gammaK4(2969)plus = 5.19131811418629489369174522287 Theorem 4: I1(2969) = 0.573489262412208011893795003395 Theorem 4: I1prime(2969) = 0.576183325914486906705954285199 Theorem 4: I2(2969) = 0.572679124337784026303519564142 Theorem 4: I2prime(2969) = 0.575373187840062921115678845947 Theorem 4: I4(2969) = 0.573205097398585793038923953392 Theorem 4: I4prime(2969) = 0.575899160900864687851083235196 --------- EK(2971) = 8.51703692096464741825640430105 EK(2971)plus = 8.51329463428762150650468775422 gammaK3(2971) = 9.20233501914651144867198632551 gammaK3(2971)plus = 7.17454412257708166364860574175 gammaK5(2971) = 8.60693525527982747655212379599 gammaK5(2971)plus = 7.54246981080227332597094138193 Theorem 4: I1(2971) = 0.574349589203329850536784715901 Theorem 4: I1prime(2971) = 0.577042065255674162874114826338 Theorem 4: I3(2971) = 0.572014204596421753342913549407 Theorem 4: I3prime(2971) = 0.574706680648766065680243659843 Theorem 4: I5(2971) = 0.566305400857127029819092748200 Theorem 4: I5prime(2971) = 0.568997876909471342156422858636 --------- EK(2999) = 9.12697206030639229706615035690 EK(2999)plus = 9.90304767988557981114461937517 Theorem 4: I1(2999) = 0.573652691666766373914905463743 Theorem 4: I1prime(2999) = 0.576323150031926150128482834654 --------- Precomputation time: 19 min, 25 sec, 720 millisec Final step gammaK computation time (output time included): 7 min, 55 sec, 358 millisec Total elapsed time: 27 min, 21 sec, 78 millisec ****** END PROGRAM ******** ---------------- q = 3617 ? init_gammaK();gamma_K(3617,3617,30) ************ A. LANGUASCO ************* ********* COMPUTATION of LvR; ********** ********* Theorem 4 CLM ********** ******* GAMMAK_r CONSTANTS IN ONE INTERVAL ******** ********* with the S-FUNCTION (decimated in frequency) ********** Interval=[3617,3617] Performing precomputations of S(a/q) (decimated in frequency) and log(Gamma(a/q)) for this interval Precomputation for q = 3617 --------- Starting computations --------- EK(3617) = 11.0388903151868383487914900778 EK(3617)plus = 10.3056034609169000981721360051 gammaK2(3617) = 10.3056034609169000981721360051 gammaK2(3617)plus = 6.67482867151273988888276828999 gammaK4(3617) = 6.67482867151273988888276828999 gammaK4(3617)plus = 8.01005531872747188383221778422 Theorem 4: I1(3617) = 0.574567826826144333725407677384 Theorem 4: I1prime(3617) = 0.576833700784095688246182060786 Theorem 4: I2(3617) = 0.575530753532027035919502037561 Theorem 4: I2prime(3617) = 0.577796627489978390440276420963 Theorem 4: I4(3617) = 0.566875457114032688888257176740 Theorem 4: I4prime(3617) = 0.569141331071984043409031560141 --------- Precomputation time: 0 min, 7 sec, 96 millisec Final step gammaK computation time (output time included): 0 min, 4 sec, 997 millisec Total elapsed time: 0 min, 12 sec, 93 millisec ****** END PROGRAM ******** *******/