T5(x)的密度系数

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T5(x)的密度系数

表T(x)为孪生素数对数，T5(x)为p1+2=p2,p2+4=p3,p3+6=p4,p4+8=p5,p5+10的素数组的组数.


1(13901,13903,13907,13913,13921,13931)
2(21557,21559,21563,21569,21577,21587)
3(28277,28279,28283,28289,28297,28307)
4(55661,55663,55667,55673,55681,55691)
5(68897,68899,68903,68909,68917,68927)
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T5(x)的密度系数

表T(x)为孪生素数对数，T5(x)为p1+2=p2,p2+4=p3,p3+6=p4,p4+8=p5,p5+10的素数组的组数.

π(x)=C1*x/lnx,T(x)=C2*π(x)/lnx,T2(x)=C3*T(x)/lnx,T3(x)=C4*T2(x)/lnx,
C4*T3(x)/lnx,C5*T4(x)/lnx.
T5(x)=C1*C2*C3*C4*C5*x/ln^6(x).


π(10^5)=1.1043198105999443100550287016666*10^5/ln10^5=9592
T(10^5)=1.4691222653381525840481763659996*9592/ln10^5=1224
T2(10^5)=2.4361500779634715366040023969088*1224/ln10^5=259
T3(10^5)=2.8448927789887823123002211023127*259/ln10^5=64
T4(10^5)=3.2380102870228767431503004831499*64/ln10^5=18
T5(10^5)=3.1980348513806190055805436870616*18/ln10^5=5
T5(10^5)=116.43516489198830439356213394227*10^5/ln^6(10^5)=5