孪生素数对上界估计

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孪生素数对上界估计

g(10^1)=8
g1^1=8^1=8
g0^1=4^1=4
b1^1=4^1=4
T(10^1)<10^1-4=6

g(10^2)=92
g2^2=9.591663&#8239;047^2=92
g1^2=8^2=64
b2^2=5.291502622^2=28
T(10^2)<10^2-64=36

g(10^3)=965
g3^3=9.881945122^3=965
g2^3=9.591663047^3=882.43300
b3^3=4.362070671^3=83
T(10^3)<10^3-882.43300=117.56700

g(10^4)=9795
g4^4=9.948351237^4=9795
g3^4=9.881945122^4=9536.07704
b4^4=4.011667601^4=259
T(10^4)<10^4-9536.07704=463.92296

g(10^5)=98776
g5^5=9.975399258^5=98776
g4^5=9.881945122^5=94234.9900
b5^5=5.388270948^5=4542
T(10^5)<10^5-94234.9900=5765.0100

g(10^6)=991831
g6^6=9.986338425^6=991831
g5^6=9.975399258^6=985330.037
b6^6=4.320128793^6=6501.0000
T(10^6)<10^6-985330.037=14669.963

g(10^7)=9&#8239;941020
g7^7=9.991552910^7=9941020
g6^7=9.986338425^7=9904760.0
b7^7=4.480709918^7=36260
T(10^7)<10^7-9904760.0=95240.0
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g(10^8)=99559688
g8^8=9.994485468^8=99559688
g7^8=9.991552910^8=99326227
b8^8=4.688423053^8=233461
T(10^8)<10^8-99326227=673773

g(10^9)=996575494
g9^9=9.996189190^9=996575494
g8^9=9.994485468^9=995047855
b9^9=4.865342467^9=1527639
T(10^9)<10^9-995047855=4952145

g(10^10)=9972587321
g10^10=9.997255345^10=9972587321
g9^10=9.996189190^10=9961957184
b10^10=5.042592647^10=10630137
T(10^10)<10^10-9961957184=38042816

g(10^11)=99775623952
g11^11=9.997958134^11=99775623952
g10^11=9.997255345^11=99698501931
b11^11=5.212141750^11=77122021
T(10^11)<10^11-99698501931=301498069

g(10^12)=998129414780
g12^12=9.998439841^12=998129414780
g11^12=9.997958134^12=997552510611
b12^12=5.371455388^12=576904169
T(10^12)<10^12-997552510611=2447489389

g(10^13)=9984165335128
g13^13=9.998781058^13=9984165335128
g12^13=9.998439841^13=9979736908093
b13^13=5.521018365^13=4428427035
T(10^13)<10^13-9979736908093=20263091907

g(10^14)=99864219678335
g14^14=9.999029529^14=99864219678335
g13^14=9.998781058^14=99829483263681
b14^14=5.661261470^14=34736414654
T(10^14)<10^14-99829483263681=170516736319

g(10^15)=998822790757696
g15^15=9.999214762^15=998822790757696
g14^15=9.999029529^15=998545281988910
b15^15=5.792754377^15=277508768786
T(10^15)<10^15-998545281988910=1454718011090

g(10^16)=9989695804303202
g16^16=9.999355676^16=9989695804303202
g15^16=9.999214762^16=9987443588473902
b16^16=5.916135679^16=2252215829300
T(10^16)<10^16-9987443588473902=12556411526098

g(10^17)=99909051110646841
g17^17=9.999464777^17=99909051110646841
g16^17=9.999355676^17=99890521362679265
b17^17=6.032021940^17=18529747967576
T(10^17)<10^17-99890521362679265=109478637320735

g(10^18)=999191324111422565
g18^18=9.999550564^18=999191324111422565
g17^18=9.999464777^18=999037036764313790
b18^18=6.141020864^18=154287347108775
T(10^18)<10^18-999037036764313790=962963235686210