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孪生素数对下界估计

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发表于 2024-10-15 18:10 | 显示全部楼层 |阅读模式
孪生素数对下界估计

T(10^1)=2
h1^1=1^1=2
h0^1=1^1=1
b1^1=1^1=1
T(10^1)>1

T(10^2)=8
h2^2=2.828427125^2=8
h1^2=1^2=1
b2^2=2.645751311^2=7
T(10^2)>1

T(10^3)=35
h3^3=3.271066310^3=35
h2^3=2.828427125^3=22.6274170
b3^3=2.351334688^3=13
T(10^3)>22.6274170

T(10^4)=205
h4^4=3.783889674^4=205
h3^4=3.271066310^4=114
b4^4=3.088590619^4=91
T(10^4)>114

T(10^5)=1224
h5^5=4.145303027^5=1224
h4^5=3.783889674^5=776
b5^5=3.390436406^5=448
T(10^5)>776

T(10^6)=8169
h6^6=4.487744769^6=8169
h5^6=4.145303027^6=5073
b6^6=3.817685590^6=3096
T(10^6)>5073

T(10^7)=58980
h7^7=4.803184318^7=58980
h6^7=4.487744769^7=36660
b7^7=4.180632835^7=22320
T(10^7)>36660

T(10^8)=440312
h8^8=5.075397544^8=440312
h7^8=4.803184318^8=283292
b8^8=4.461638423^8=157020
T(10^8)>283292

T(10^9)=3424506
h9^9=5.321896655^9=3424506
h8^9=5.075397544^9=2234758
b9^9=4.732063390^9=1189748
T(10^9)>2234758

T(10^10)=27412679
h10^10=5.543641638^10=27412679
h9^10=5.321896655^10=18224867
b10^10=4.969597436^10=9187812
T(10^10)>18224867

T(10^11)=224376048
h11^11=5.743540414^11=224376048
h10^11=5.543641638^11=151966069
b11^11=5.182354 638^11=72409979
T(10^11)>151966069

T(10^12)=1870585220
h12^12=5.924678541^12=1870585220
h11^12=5.743540414^12=1288712899
b12^12=5.375295057^12=581872321
T(10^12)>1288712899

T(10^13)=15834664872
h13^13=6.089551366^13=15834664872
h12^13=5.924678541^13=11082616108
b13^13=5.551054011^13=4752048764
T(10^13)>11082616108

T(10^14)=135780321665
h14^14=6.240259225^14=135780321665
h13^14=6.089551366^14=96426004999
b14^14=5.711960161^14=39354316666
T(10^14)>96426004999

T(10^15)=1177209242304
h15^15=6.378573695^15=1177209242304
h14^15=6.240259225^15=847304405671
b15^15=5.859932033^15=329904836633
T(10^15)>847304405671

T(10^16)=10304195696798
h16^16=6.505989846^16=10304195696798
h15^16=6.378573695^16=7508915902180
b16^16=5.996551672^16=2795279794618
T(10^16)>7508915902180

T(10^17)=90948889353159
h17^17=6.623777406^17=90948889353159
h16^17=6.505989846^17=67038992572178
b17^17=6.123153670^17=23909896780981
T(10^17)>67038992572178

T(10^18)=808675888577435
h18^18=6.733016738^18=808675888577435
h17^18=6.623777406^18=602425198868208
b18^18=6.240 856396^18=206250689709227
T(10^18)>602425198868208


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