T2(x)的密度系数

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T2(x)的密度系数

表T2(x)为p1+2=p2,p2+4=p3的素数组的组数.

1(5,7,11)
2(11,13,17)
3(17,19,23)
4(41,43,47)
【】【】【】
5(101,103,107)
6(107,109,113)
7(191,193,197)
8(227,229,233)
9(311,313,317)
10(347,349,353)
11(461,463,467)
12(641,643,647)
13(821,823,827)
14(857,859,863)
15(881,883,887)
【】【】【】
16(1091,1093,1097)
17(1277,1279,1283)
18(1301,1303,1307)
19(1427,1429,1433)
20(1481,1483,1487)
21(1487,1489,1493)
22(1607,1609,1613)
23(1871,1873,1877)
24(1997,1999,2003)
25(2081,2083,2087)
26(2237,2239,2243)
27(2267,2269,2273)
28(2657,2659,2663)
29(2687,2689,2693)
30(3251,3253,3257)
31(3461,3463,3467)
32(3527,3529,3533)
33(3671,3673,3677)
34(3917,3919,3923)
35(4001,4003,4007)
36(4127,4129,4133)
37(4517,4519,4523)
38(4637,4639,4643)
39(4787,4789,4793)
40(4931,4933,4937)
41(4967,4969,4973)
42(5231,5233,5237)
43(5477,5479,5483)
44(5501,5503,5507)
45(5651,5653,5657)
46(6197,6199,6203)
47(6827,6829,6833)
48(7877,7879,7883)
49(8087,8089,8093)
50(8231,8233,8237)
51(8291,8293,8297)
52(8537,8539,8543)
53(8861,8863,8867)
54(9431,9433,9437)
55(9461,9463,9467)
【】【】【】
56(10331,10333,10337)
57(10427,10429,10433)
58(10457,10459,10463)
59(11171,11173,11177)
60(11777,11779,11783)
61(12107,12109,12113)
62(12917,12919,12923)
63(13001,13003,13007)
64(13691,13693,13697)
65(13757,13759,13763)
66(13877,13879,13883)
67(13901,13903,13907)
68(14081,14083,14087)
69(14321,14323,14327)
70(14627,14629,14633)
71(15641,15643,15647)
72(15731,15733,15737)
73(16061,16063,16067)
74(16067,16069,16073)
75(16187,16189,16193)
76(17027,17029,17033)
77(17387,17389,17393)
78(18041,18043,18047)
79(18251,18253,18257)
80(18911,18913,18917)
81(19421,19423,19427)
82(19427,19429,19433)
83(19991,19993,19997)
84(20477,20479,20483)
85(20747,20749,20753)
86(20897,20899,20903)
87(21011,21013,21017)
88(21017,21019,21023)
89(21317,21319,21323)
90(21377,21379,21383)
91(21557,21559,21563)
92(21611,21613,21617)
93(22271,22273,22277)
94(22277,22279,22283)
95(22637,22639,22643)
96(23057,23059,23063)
97(23291,23293,23297)
98(23561,23563,23567)
99(23627,23629)23633)
100(23741,23743,23747)
101(24107,24109,24113)
102(24917,24919,24923)
103(25031,25033,25037)
104(25301,25303,25307)
105(25577,25579,25583)
106(25997,25999,26003)
107(26261,26263,26267)
108(26681,26683,26687)
109(26711,26713,26717)
110(27737,27739,27743)
111(27941,27943,27947)
112(28277,28279,28283)
113(29021,29023,29027)
114(29567,29569,29573)
115(30491,30493,30497)
116(31247,31249,31253)
117(31391,31393,31397)
118(31511,31513,31517)
119(31541,31543,31547)
120(31721,31723,31727)
121(32057,32059,32063)
122(32297,32299,32303)
123(32321,32323,32327)
124(32531,32533,32537)
125(33347,33349,33353)
126(33617,33619,33623)
127(33767,33769,33773)
128(34211,34213,34217)
129(34757,34759,34763)
130(34841,34843,34847)
131(35531,35533,35537)
132(35591,35593,35597)
133(36011,36013,36017)
134(36467,36469,36473)
135(37307,37309,37313)
136(37991,37993,37997)
137(38327,38329,38333)
138(38447,38449,38453)
139(39041,39043,39047)
140(39227,39229,39233)
141(40427,40429,40433)
142(40847,40849,40853)
143(41177,41179,41183)
144(42017,42019,42023)
145(42221,42223,42227)
146(42461,42463,42467)
147(43397,43399,43403)
148(43607,43609,43613)
149(43781,43783,43787)
150(43787,43789,43793)
151(44201,44203,44207)
152(44267,44269,44273)
153(44531,44533,44537)
154(44771,44773,44777)
155(45821,45823,45827)
156(46181,46183,46187)
157(47711,47713,47717)
158(48407,48409,48413)
159(49031,49033,49037)
160(49937,49939,49943)
161(51131,51133,51137)
162(51197,51199,51203)
163(51341,51343,51347)
164(51971,51973,51977)
165(53087,53089,53093)
166(53591,53593,53597)
167(54497,54499,54503)
168(55331,55333,55337)
169(55337,55339,55343)
170(55661,55663,55667)
171(55817,55819,55823)
172(56807,56809,56813)
173(56891,56893,56897)
174(58907,58909,58913)
175(59441,59443,59447)
176(60101,60103,60107)
177(60917,60919,60923)
178(62297,62299,62303)
179(62981,62983,62987)
180(63311,63313,63317)
181(64151,64153,64157)
182(64661,64663,64667)
183(65027,65029,65033)
184(65537,65539,65543)
185(65837,65839,65843)
186(67211,67213,67217)
187(67427,67429,67433)
188(67757,67759,67763)
189(68207,68209,68213)
190(68897,68899,68903)
191(69191,69193,69197)
192(69257,69259,69263)
193(69491,69493,69497)
194(69761,69763,69767)
195(69827,69829,69833)
196(71327,71329,71333)
197(72167,72169,72173)
198(72221,72223,72227)
199(73037,73039,73043)
200(73607,73609,73613)
201(75011,75013,75017)
202(75401,75403,75407)
203(76157,76159,76163)
204(77237,77239,77243)
205(77261,77263,77267)
206(78887,78889,78893)
207(79691,79693,79697)
208(79811,79813,79817)
209(79841,79843,79847)
210(79901,79903,79907)
211(80147,80149,80153)
212(80681,80683,80687)
213(80777,80779,80783)
214(81017,81019,81023)
215(81041,81043,81047)
216(81197,81199,81203)
217(81701,81703,81707)
218(82007,82009,82013)
219(82217,82219,82223)
220(82721,82723,82727)
221(82757,82759,82763)
222(83267,83269,83273)
223(86111,86113,86117)
224(86291,86293,86297)
225(86351,86353,86357)
226(87251,87253,87257)
227(88001,88003,88007)
228(88661,88663,88667)
229(88811,88813,88817)
230(89561,89563,89567)
231(89597,89599,89603)
232(90017,90019,90023)
233(90197,90199,90203)
234(90401,90403,90407)
235(90527,90529,90533)
236(91367,91369,91373)
237(91457,91459,91463)
238(91571,91573,91577)
239(92381,92383,92387)
240(92861,92863,92867)
241(93251,93253,93257)
242(93281,93283,93287)
243(93491,93493,93497)
244(93557,93559,93563)
245(93887,93889,93893)
246(94541,94543,94547)
247(95087,95089,95093)
248(96821,96823,96827)
249(97001,97003,97007)
250(97367,97369,97373)
251(97547,97549,97553)
252(97577,97579,97583)
253(97607,97609,97613)
254(97841,97843,97847)
255(98321,98323,98327)
256(98711,98713,98717)
257(98867,98869,98873)
258(99131,99133,99137)
259(99707,99709,99713)
【】【】【】
T2(x)的密度系数

表T(x)为孪生素数对数，T2(x)为p1+2=p2,p2+4=p3的素数组的组数.
π(x)=C1*x/lnx,T(x)=C2*π(x)/lnx,T2(x)=C3*T(x)/lnx,
T2(x)=C1*C2*C3*x/ln^3(x)

π(10^2)=1.1512925464970228420089957273422*10^2/ln10^2=25
T(10^2)=1.473654459516189237771514530998*25/ln10^2=8
T2(10^2)=2.3025850929940456840179914546844*8/ln10^2=4
T2(10^2)=2.9299371729026057234366273160678*10^2/ln^3(10^2)=4

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
T2(10^3)=4.9442689792731471582993085958646*10^3/ln^3(10^3)=15

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
T2(10^4)=4.2972411869238217277070533968995*10^4/ln^3(10^4)=55

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
T2(10^5)=3.9523631655300775123442003899042*10^5/ln^3(10^5)=259