孪生素数对数T(10^n)的密度系数
孪生素数对数T(10^n)的密度系数因为π(10^n)=C1*10^n/ln10^n,T(10^n)=C2*π(10^n)/ln10^n,C2=C1*l+r.
T(10^n)=C1*C2*10^n/ln^2(10^n)=(l+r)*C1^2*10^n/ln^2(10^n).
C1^2=0.84830369767654368168986662217507
1.25*C1^2=1.0603796220956796021123332777188
1.0603796220956796021123332777188*10^1/ln^2(10^1)=2
C1^2=1.3254745276195995026404165971485
1.28*C1^2=1.6966073953530873633797332443501
1.6966073953530873633797332443501*10^2/ln^2(10^2)=8
C1^2=1.3467669504312807490508322493653
1.2400793650793650793650793650793*C1^2=1.6700979048006953733269249124071
1.6700979048006953733269249124071*10^3/ln^2(10^3)=35
C1^2=1.2813126854222563151153238306646
1.3572195140359669791802526546883*C1^2=
1.7390225802369145474642265754589
1.7390225802369145474642265754589*10^4/ln^2(10^4)=205
C1^2=1.2195222440834968733410339459054
1.3303413116713190934063067568818*C1^2=
1.6223808218063897912318699149098
1.6223808218063897912318699149098*10^5/ln^2(10^5)=1224
C1^2=1.1761184468338707731587885577562
1.3257197080101320701739634620197*C1^2=
1.5592034039219292005380170982232
1.5592034039219292005380170982232*10^6/ln^2(10^6)=8169
C1^2=1.1474154285074058711609172482498
1.3354005181172166691524877499231*C1^2=
1.5322591577244779818483427096365
1.5322591577244779818483427096365*10^7/ln^2(10^7)=58980
C1^2=1.1263560593268962552757447776696
1.3264661547772615901933110839224*C1^2=1.4940731909254172062889142085725
1.4940731909254172062889142085725*10^8/ln^2(10^8)=440312
C1^2=1.1103405151562695491092487243469
1.3245188418090777523919018347479*C1^2=
1.4706669331484768854620756833369
1.4706669331484768854620756833369*10^9/ln^2(10^9)=3424506
C1^2=1.0978788221954995403436060876317
1.3238185130723859615297763362481*C1^2=
1.4533923099325086109776557041562
1.4533923099325086109776557041562*10^10/ln^2(10^10)=27412679
C1^2=1.0879301024799203355793647994772
1.3230987175384439586001991366546*C1^2=
1.4394389233626505053268756471263
1.4394389233626505053268756471263*10^11/ln^2(10^11)=224376048
C1^2=1.0798223540843364102926714863263
1.3225711781653308419702255509434*C1^2=
1.4281419230505818564881042144907
1.4281419230505818564881042144907*10^12/ln^2(10^12)=1870585220
C1^2=1.0730866350706316348055032733927
1.3221848373255373426497525118227*C1^2=1.4188188780270713431662160134299
1.4188188780270713431662160134299*10^13/ln^2(10^13)=15834664872
C1^2=1.0674013068121938508362834216478
1.3218937577756333499702153937901*C1^2=
1.410991124516592674259599893941
1.410991124516592674259599893941*10^14/ln^2(10^14)=135780321665
C1^2=1.0625382174639510684399076546863
1.3216698983956628683158246185987*C1^2=
1.4043247779170889461189340627264
1.4043247779170889461189340627264*10^15/ln^2(10^15)=1177209242304
C1^2=1.0583308139810535879776471682091
1.3214903613429828509111783267473*C1^2=
1.3985739697882356729232959220829
1.3985739697882356729232959220829*10^16/ln^2(10^16)=10304195696798
C1^2=1.0546546717974093682830193279385
1.3213453457259055125334283859212*C1^2=
1.3935630419275892919170313785548
1.3935630419275892919170313785548*10^17/ln^2(10^17)=90948889353159
C1^2=1.0514150114002172740641568048453
1.3212247748077672055079023120445*C1^2=
1.3891555616667580570641243950543
1.3891555616667580570641243950543*10^18/ln^2(10^18)=808675888577435
当x=10^18时1+r=1.3212247748077672055079023120445,而哈代系数是1.32032236316937
，所以1+r很可能要小于1.32032236316937...
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