T3(x)的密度系数
T3(x)的密度系数表T3(x)为p1+2=p2,p2+4=p3,p3+6=p4的素数组的组数.
【】【】【】
1(227,229,233)239)
2(347,349,353)359)
3(641,643,647)653)
【】【】【】
4(1091,1093,1097,1103)
5(1277,1279,1283,1289)
6(1427,1429,1433,1439)
7(1487,1489,1493,1499)
8(1607,1609,1613,1619)
9(2687,2689,2693,2699)
10(3527,3529,3533,3539)
11(3917,3919,3923,3929)
12(4001,4003,4007,4013)
13(4127,4129,4133,4139)
14(4637,4639,4643,4649)
15(4787,4789,4793,4799)
16(4931,4933,4937,4943)
17(8231,8233,8237,8243)
18(9461,9463,9467,9473)
【】【】【】
19(10331,10333,10337,10343)
20(11777,11779,11783,11789)
21(12107,12109,12113,12119)
22(13901,13903,13907,13913)
23(14627,14629,14633,14639)
24(20747,20749,20753,20759)
25(21557,21559,21563,21569)
26(23741,23743,23747,23753)
27(25577,25579,25583,25589)
28(26681,26683,26687,26693)
29(26711,26713,26717,26723)
30(27737,27739,27743,27749)
31(27941,27943,27947,27953)
32(28277,28279,28283,28289)
33(29021,29023,29027,29033)
34(31247,31249,31253,31259)
35(32057,32059,32063,32069)
36(32297,32299,32303,32309)
37(33347,33349,33353,33359)
38(33617,33619,33623,33629)
39(35531,35533,35537,35543)
40(35591,35593,35597,35603)
41(36467,36469,36473,36479)
42(38447,38449,38453,38459)
43(39227,39229,39233,39239)
44(41177,41179,41183,41189)
45(42461,42463,42467,42473)
46(44267,44269,44273,44279)
47(44531,44533,44537,44543)
48(45821,45823,45827,45833)
49(49031,49033,49037,49043)
50(55661,55663,55667,55673)
51(55817,55819,55823,55829)
52(59441,59443,59447,59453)
53(68207,68209,68213,68219)
54(68897,68899,68903,68909)
55(69191,69193,69197,69203)
56(71327,71329,71333,71339)
57(77237,77239,77243,77249)
58(79811,79813,79817,79823)
59(80777,80779,80783,80789)
60(91571,91573,91577,91583)
61(93251,93253,93257,93263)
62(93491,93493,93497,93503)
63(97367,97369,97373,97379)
64(99707,99709,99713,99719)
【】【】【】
T3(x)的密度系数
表T(x)为孪生素数对数，T3(x)为p1+2=p2,p2+4=p3,p3+6=p4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,
T3(x)=C1*C2*C3*C4*x/ln^4(x)
π(10^3)=1.160502886868999024745067693161*10^3/ln10^3=168
T(10^3)=1.4391156831212785525112446591777*168/ln10^3=35
T2(10^3)=2.9604665481352015937374175845942*35/ln10^3=15
T3(10^3)=1.3815510557964274104107948728106*15/ln10^3=3
T3(10^3)=6.8307600284563409292555984167025*10^3/ln^4(10^3)=3
π(10^4)=1.1319508317158728582632445991228*10^4/ln10^4=1229
T(10^4)=1.5363057577340255987752261943378*1229/ln10^4=205
T2(10^4)=2.471066929066780734068088390393*205/ln10^4=55
T3(10^4)=3.0142932126467507136235524497686*55/ln10^4=18
T3(10^4)=12.953144942850542799180986627228*10^4/ln^4(10^4)=18
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
T3(10^5)=11.244049429557762846511273113914*10^5/ln^4(10^5)=64
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