孪生素数对上下界估计之中值

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孪生素数对上下界估计之中值


中界估计是(上界估计+下界估计)/2

x=10^1
(6+1)/2=3.5
T(10^1)=2
3.5/2=1.75

x=10^2
(36+1)/2=18.5
T(10^2)=8
18.5/8=2.3

x=10^3
(117.567 +23)/2=70.28
T(10^3)=35
70.28/35=2.008

x=10^4
(463.92296+114)/2=288.96148
T(10^4)=205
288.96148/205=1.4095682

x=10^5
(5765.01+776)/2=3270.5
T(10^5)=1224
3270.5/1224=2.672

x=10^6
(14669.963+5073)/2=9871.48
T(10^6)=8169
9871.48/8169=1.20841

x=10^7
(95240+36660)/2=65950
T(10^7)=58980
65950/58980=1.118175653

x=10^8
(673773+283292)/2=478532.5
T(10^8)=440312
478532.5/440312=1.086803

x=10^9
(4 952145+2234758)/2=3593451.5
T(10^9)=3424506
3593451.5/3424506=1.0493343

x=10^10
(38042816+18224867)/2=28133841.5
T(10^10)=27412679
28133841.5/27412679=1.0263076

x=10^11
(301498069+151966069)/2=226732069
T(10^11)=224376048
226732069/224376048=1.010500323

x=10^12
(2447489389+1288712899)/2=1868101144
T(10^12)=1870585220
1868101144/1870585220=0.9986720327

x=10^13
(20263091907+11082616108)/2=15672854008
T(10^13)=15834664872
15672854008/15834664872=0.9897812259

x=10^14
(170516736319+96426004999)/2=133471370659
T(10^14)=135780321665
133471370659/135780321665=0.9829949511

x=10^15
(1454718011090+847304405671)/2=1151011208381
T(10^15)=1177209242304
1151011208381/1177209242304=0.9777456437

x=10^16
(12556411526098+7508915902180)/2=10032663714139
T(10^16)=10304195696798
10032663714139/10304195696798=0.9736484059

x=10^17
(109478637320735+67038992572178)/2=88258814946457
T(10^17)=90948889353159
88258814946457/90948889353159=0.9704221302

x=10^18
(962963235686210+602425198868208)/2=782694217277209
T(10^18)=808675888577435
782694217277209/808675888577435=0.9678713417