[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-9-1 12:07

10^n 二生L22差等于138的数量实际数量理论-实际误差/实际
2 2 1 1 1.000000000000E+00
3 10 7 3 4.285714285714E-01
4 34 24 10 4.166666666667E-01
5 119 106 13 1.226415094340E-01
6 505 497 8 1.609657947686E-02
7 2514 2533 -19 -7.500986971970E-03
8 13957 14127 -170 -1.203369434416E-02
9 83897 84011 -114 -1.356965159324E-03
10 535182
11 3576339
12 24812568
13 177570310
14 1304362464
15 9797112820
16 75016285515
17 5.8413024750500000E+11
18 4.6162686526950000E+12
19 3.6963908569619000E+13
20 2.9947743388596100E+14
21 2.4520867443968000E+15
22 2.0269985662584800E+16
23 1.6901991074908100E+17
24 1.4205611022880200E+18
25 1.2026295501611400E+19
26 1.0249454815323900E+20
27 8.7890717070381700E+20
28 7.5798390326457500E+21
29 6.5716505073648000E+22
30 5.7256871882823200E+23
31 5.0116021330028100E+24
32 4.4054711775164000E+25
33 3.8882849835308400E+26
34 3.4448280285475500E+27
35 3.0628372730965300E+28
36 2.7323650668540900E+29

独木星空谁 · 发表于 2021-9-1 12:07

10^n 二生L22差等于144的数量实际数量理论-实际误差/实际
2 1 1 0 0.000000000000E+00
3 4 5 -1 -2.000000000000E-01
4 15 16 -1 -6.250000000000E-02
5 53 57 -4 -7.017543859649E-02
6 226 239 -13 -5.439330543933E-02
7 1126 1180 -54 -4.576271186441E-02
8 6256 6272 -16 -2.551020408163E-03
9 37604 37736 -132 -3.497986008056E-03
10 239877
11 1602971
12 11121381
13 79589790
14 584635654
15 4391219174
16 33623472279
17 2.6181631161200000E+11
18 2.0690837997580000E+12
19 1.6567801865797000E+13
20 1.3423046912246900E+14
21 1.0990636247895300E+15
22 9.0853245578114600E+15
23 7.5757367146154400E+16
24 6.3671770090651600E+17
25 5.3903737121022900E+18
26 4.5939659301153700E+19
27 3.9393993833805800E+20
28 3.3974023886296500E+21
29 2.9455165254567800E+22
30 2.5663425365942900E+23
31 2.2462784478923300E+24
32 1.9746010749134600E+25
33 1.7427901349653700E+26
34 1.5440257929225000E+27
35 1.3728115627239000E+28
36 1.2246887519322500E+29

独木星空谁 · 发表于 2021-9-1 14:28

10^n 二生L22差等于150的数量实际数量理论-实际误差/实际
2 3 1 2 2.000000000000E+00
3 14 9 5 5.555555555556E-01
4 46 45 1 2.222222222222E-02
5 159 153 6 3.921568627451E-02
6 676 642 34 5.295950155763E-02
7 3364 3322 42 1.264298615292E-02
8 18681 18808 -127 -6.752445767758E-03
9 112289 112499 -210 -1.866683259407E-03
10 716291
11 4786590
12 33209269
13 237661024
14 1745765485
15 13112506592
16 1.0040218546000000E+11
17 7.8180295171800000E+11
18 6.1784378980850000E+12
19 4.9472686871144000E+13
20 4.0082215017140400E+14
21 3.2818856116891500E+15
22 2.7129453901740700E+16
23 2.2621712484027400E+17
24 1.9012863442851700E+18
25 1.6096056250395600E+19
26 1.3717923463733100E+20
27 1.1763339140161000E+21
28 1.0144895859416000E+22
29 8.7955311101670400E+22
30 7.6632894179602800E+23
31 6.7075542777580600E+24
32 5.8963054644133200E+25
33 5.2041007810007100E+26
34 4.6105756933223000E+27
35 4.0993172857730400E+28
36 3.6570115715854900E+29

独木星空谁 · 发表于 2021-9-1 14:29

10^n 二生L22差等于156的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 5 6 -1 -1.666666666667E-01
4 19 14 5 3.571428571429E-01
5 65 63 2 3.174603174603E-02
6 276 299 -23 -7.692307692308E-02
7 1373 1455 -82 -5.635738831615E-02
8 7626 7686 -60 -7.806401249024E-03
9 45844 46038 -194 -4.213910248056E-03
10 292443
11 1954243
12 13558505
13 97030987
14 712751910
15 5353504922
16 40991673884
17 3.1919037909200000E+11
18 2.5224999861610000E+12
19 2.0198447246107000E+13
20 1.6364555004653400E+14
21 1.3399109203047000E+15
22 1.1076270122082600E+16
23 9.2358732691298000E+16
24 7.7624714470859000E+17
25 6.5716128151838300E+18
26 5.6006813240208200E+19
27 4.8026739618864900E+20
28 4.1419044889834300E+21
29 3.5909929774568900E+22
30 3.1287273206623300E+23
31 2.7385248264880100E+24
32 2.4073124465643300E+25
33 2.1247027751342400E+26
34 1.8823814877552500E+27
35 1.6736476059487300E+28
36 1.4930653655311400E+29

独木星空谁 · 发表于 2021-9-1 14:45

10^n 二生L22差等于162的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 13 10 3 3.000000000000E-01
4 42 34 8 2.352941176471E-01
5 145 126 19 1.507936507937E-01
6 617 617 0 0.000000000000E+00
7 3069 3111 -42 -1.350048216008E-02
8 17042 17091 -49 -2.867006026564E-03
9 102439 102383 56 5.469658048699E-04
10 653458
11 4366714
12 30296176
13 216813566
14 1592628162
15 11962286715
16 91594976209
17 7.1322374542700000E+11
18 5.6364696614110000E+12
19 4.5132977496482000E+13
20 3.6566231243707100E+14
21 2.9940009089094000E+15
22 2.4749677243693300E+16
23 2.0637351739814500E+17
24 1.7345068404005100E+18
25 1.4684121491589000E+19
26 1.2514596844107400E+20
27 1.0731467285760900E+21
28 9.2549927138531800E+21
29 8.0239932934857200E+22
30 6.9910710479637600E+23
31 6.1191723235687600E+24
32 5.3790856868332100E+25
33 4.7476007124918700E+26
34 4.2061392289957900E+27
35 3.7397280501789100E+28
36 3.3362210828499200E+29

独木星空谁 · 发表于 2021-9-1 14:45

10^n 二生L22差等于168的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 16 12 4 3.333333333333E-01
4 54 54 0 0.000000000000E+00
5 187 176 11 6.250000000000E-02
6 792 782 10 1.278772378517E-02
7 3944 3952 -8 -2.024291497976E-03
8 21899 22201 -302 -1.360299085627E-02
9 131636 132614 -978 -7.374786975734E-03
10 839710
11 5611333
12 38931318
13 278610669
14 2046565657
15 15371827373
16 1.1770175686800000E+11
17 9.1650974050100000E+11
18 7.2429996615230000E+12
19 5.7996966251518000E+13
20 4.6988490390464200E+14
21 3.8473634868111100E+15
22 3.1803933076436800E+16
23 2.6519495472418600E+17
24 2.2288831862151500E+18
25 1.8869450805616800E+19
26 1.6081559229625900E+20
27 1.3790194676388400E+21
28 1.1892889187850000E+22
29 1.0311025198392300E+23
30 8.9836951630838700E+23
31 7.8632842418806300E+24
32 6.9122550371866300E+25
33 6.1007815918977700E+26
34 5.4049905068255000E+27
35 4.8056408760753200E+28
36 4.2871246765124600E+29

独木星空谁 · 发表于 2021-9-1 14:46

10^n 二生L22差等于174的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 7 8 -1 -1.250000000000E-01
4 23 18 5 2.777777777778E-01
5 79 70 9 1.285714285714E-01
6 337 353 -16 -4.532577903683E-02
7 1679 1718 -39 -2.270081490105E-02
8 9325 9469 -144 -1.520751927342E-02
9 56054 55945 109 1.948342121727E-03
10 357572
11 2389466
12 16578067
13 118640383
14 871486130
15 6545763290
16 50120770981
17 3.9027603349700000E+11
18 3.0842761987240000E+12
19 2.4696765286075000E+13
20 2.0009041736556500E+14
21 1.6383172973552200E+15
22 1.3543023387749000E+16
23 1.1292758872026500E+17
24 9.4912214306715800E+17
25 8.0351512801974900E+18
26 6.8479873930955600E+19
27 5.8722588987683600E+20
28 5.0643320130204600E+21
29 4.3907291301953800E+22
30 3.8255140774457700E+23
31 3.3484110954568200E+24
32 2.9434356878351300E+25
33 2.5978871098755500E+26
34 2.3015993861064900E+27
35 2.0463791890579000E+28
36 1.8255801765354800E+29

ysr · 发表于 2021-9-1 15:11

文章很有价值，可惜朋友们的数据我不懂，欢迎沟通指导！

ysr · 发表于 2021-9-1 16:16

"最近在分析2对2生素数的数量，拿最熟悉的说吧，比如2对孪生素数对，其间距为6的有多少（100内，1000内，......），距离12的，距离18，......。"

我也研究这个问题，很好，谢谢！

独木星空谁 · 发表于 2021-9-1 16:22

截止2021年8月31日周二21：06分浏览量54688，回复3940，热度127度。
截止2021年9月01日周三16：18分浏览量54944，回复3958，热度128度。
浏览量↑\({16}^2\)，回复↑18，热度↑°
ysr先生的到来使温度飙升1度，停滞在127°已经很长时间了。

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[原创]k生素数群的数量公式

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