[原创]k生素数群的数量公式

独舟星海 · 发表于 2021-9-3 14:41

10^n 二生L22差等于432的数量实际数量理论-实际误差/实际
2 2 0 2 #DIV/0!
3 9 7 2 2.857142857143E-01
4 31 31 0 0.000000000000E+00
5 106 114 -8 -7.017543859649E-02
6 453 449 4 8.908685968820E-03
7 2256 2281 -25 -1.096010521701E-02
8 12526 12430 96 7.723250201126E-03
9 75296 75044 252 3.358029955759E-03
10 480317
11 3209701
12 22268846
13 159366248
14 1170642501
15 8792737422
16 67325804352
17 5.2424668176800000E+11
18 4.1430203857140000E+12
19 3.3174461510200000E+13
20 2.6877575960106000E+14
21 2.2007049705918900E+15
22 1.8191957647261100E+16
23 1.5169241404875400E+17
24 1.2749287462926900E+18
25 1.0793389894823500E+19
26 9.1987064525684700E+19
27 7.8880381523067100E+20
28 6.8027729743033300E+21
29 5.8979414042336900E+22
30 5.1387041197055600E+23
31 4.4978252706314100E+24
32 3.9538333382021600E+25
33 3.4896677737390300E+26
34 3.0916729118911200E+27
35 2.7488428891922300E+28
36 2.4522498634430000E+29

独舟星海 · 发表于 2021-9-3 14:41

10^n 二生L22差等于438的数量实际数量理论-实际误差/实际
2 2 0 2 #DIV/0!
3 11 6 5 8.333333333333E-01
4 36 32 4 1.250000000000E-01
5 124 117 7 5.982905982906E-02
6 529 512 17 3.320312500000E-02
7 2632 2676 -44 -1.644245142003E-02
8 14613 14643 -30 -2.048760499898E-03
9 87840 87764 76 8.659587074427E-04
10 560333 二位数以内
11 3744404
12 25978605
13 185915014
14 1365659414
15 10257516386
16 78541585880
17 6.1158074789000000E+11
18 4.8332046613550000E+12
19 3.8700983118964000E+13
20 3.1355101670328500E+14
21 2.5673196199585400E+15
22 2.1222549327321500E+16
23 1.7696279873512400E+17
24 1.4873186674931900E+18
25 1.2591456834575100E+19
26 1.0731115651348100E+20
27 9.2021035904471400E+20
28 7.9360444768547800E+21
29 6.8804773410324400E+22
30 5.9947589904037100E+23
31 5.2471163644128300E+24
32 4.6125010116565000E+25
33 4.0710102727889300E+26
34 3.6067135900809300E+27
35 3.2067716372307100E+28
36 2.8607692860186600E+29

独舟星海 · 发表于 2021-9-3 14:42

10^n 二生L22差等于444的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 5 2 3 1.500000000000E+00
4 16 14 2 1.428571428571E-01
5 55 45 10 2.222222222222E-01
6 235 228 7 3.070175438596E-02
7 1170 1134 36 3.174603174603E-02
8 6498 6419 79 1.230721296152E-02
9 39062 39051 11 2.816829274538E-04
10 249179 一位数以内
11 1665133 二位数以内
12 11552663 各占一半
13 82676250
14 607307593
15 4561508917
16 34927377236
17 2.7196944463000000E+11
18 2.1493220512060000E+12
19 1.7210294669714000E+13
20 1.3943587362791600E+14
21 1.1416848774876200E+15
22 9.4376498509871000E+15
23 7.8695207882623700E+16
24 6.6140936153069500E+17
25 5.5994102728060900E+18
26 4.7721181120068900E+19
27 4.0921677334657900E+20
28 3.5291523096140800E+21
29 3.0597424913847700E+22
30 2.6658642851946000E+23
31 2.3333882377156700E+24
32 2.0511753236589900E+25
33 1.8103748471391800E+26
34 1.6039025025216600E+27
35 1.4260486521898800E+28
36 1.2721816973771600E+29

独舟星海 · 发表于 2021-9-3 14:42

10^n 二生L22差等于450的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 14 11 3 2.727272727273E-01
4 46 41 5 1.219512195122E-01
5 159 155 4 2.580645161290E-02
6 678 677 1 1.477104874446E-03
7 3372 3309 63 1.903898458749E-02
8 18725 18572 153 8.238208055137E-03
9 112554 112631 -77 -6.836483738935E-04
10 717985 最后来了个七七事变
11 4797912
12 33287823
13 238223188
14 1749894921
15 13143522936
16 1.0063967694900000E+11
17 7.8365222966200000E+11
18 6.1930523849050000E+12
19 4.9589709643266000E+13
20 4.0177025552220700E+14
21 3.2896485891289800E+15
22 2.7193625955100500E+16
23 2.2675221918676300E+17
24 1.9057836500245200E+18
25 1.6134129887422200E+19
26 1.3750371861687900E+20
27 1.1791164161251600E+21
28 1.0168892612199100E+22
29 8.8163360734285100E+22
30 7.6814161749242100E+23
31 6.7234203373029800E+24
32 5.9102525947263200E+25
33 5.2164105692558500E+26
34 4.6214815563921200E+27
35 4.1090138173934000E+28
36 3.6656618725668300E+29

独舟星海 · 发表于 2021-9-3 15:34

三生素数中项差合成数的数量公式中的系数最小值：
\({105}\over{16}\)∏\({P(P-6)}\over(P-3)^2\) ，P≥11，是素数，趋于无穷大。前边的常数就是素数2,3,5,7共同作用的结果，只有这三类数有解：30n+6,30n+24,30n+30. 其余的正整数均无解。

独舟星海 · 发表于 2021-9-3 16:19

10^n 二生L22差等于456的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 7 4 3 7.500000000000E-01
4 23 22 1 4.545454545455E-02
5 81 78 3 3.846153846154E-02
6 345 313 32 1.022364217252E-01
7 1721 1706 15 8.792497069168E-03
8 9554 9585 -31 -3.234220135629E-03
9 57432 57544 -112 -1.946336716252E-03
10 366359
11 2448186
12 16985467
13 121555925
14 892902565
15 6706622897
16 51352469582
17 3.9986691638000000E+11
18 3.1600710958240000E+12
19 2.5303678760402000E+13
20 2.0500756214044800E+14
21 1.6785783125720200E+15
22 1.3875837960100600E+16
23 1.1570274062472300E+17
24 9.7244645338623500E+17
25 8.2326120214614300E+18
26 7.0162740400612800E+19
27 6.0165673946024300E+20
28 5.1887860174848400E+21
29 4.4986296038148700E+22
30 3.9195246093084000E+23
31 3.4306970056916200E+24
32 3.0157694837420000E+25
33 2.6617291828556000E+26
34 2.3581603026374900E+27
35 2.0966681677575700E+28
36 1.8704431047274900E+29

独舟星海 · 发表于 2021-9-3 16:20

10^n 二生L22差等于462的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 17 9 8 8.888888888889E-01
4 56 38 18 4.736842105263E-01
5 192 168 24 1.428571428571E-01
6 814 764 50 6.544502617801E-02
7 4050 3952 98 2.479757085020E-02
8 22486 22438 48 2.139228095196E-03
9 135162 135255 -93 -6.875901075746E-04
10 862202
11 5761636
12 39974121
13 286073455
14 2101384380
15 15783572750
16 1.2085448249800000E+11
17 9.4105910855000000E+11
18 7.4370085810280000E+12
19 5.9550456418970000E+13
20 4.8247110668780200E+14
21 3.9504178659221200E+15
22 3.2655824140984200E+16
23 2.7229839101144100E+17
24 2.2885854144173400E+18
25 1.9374882523624400E+19
26 1.6512315280419500E+20
27 1.4159574890934500E+21
28 1.2211448719667400E+22
29 1.0587213373349200E+23
30 9.2243298549521900E+23
31 8.0739079269310000E+24
32 7.0974047256827000E+25
33 6.2641953845378900E+26
34 5.5497670382583300E+27
35 4.9343633995416200E+28
36 4.4019583732047600E+29

独舟星海 · 发表于 2021-9-3 16:20

10^n 二生L22差等于468的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 15 11 4 3.636363636364E-01
4 49 41 8 1.951219512195E-01
5 169 160 9 5.625000000000E-02
6 719 712 7 9.831460674157E-03
7 3580 3591 -11 -3.063213589529E-03
8 19878 19614 264 1.345977363108E-02
9 119486 118617 869 7.326099968807E-03
10 762202
11 5093392
12 35337853
13 252894159
14 1857662173
15 13952966595
16 1.0683756991600000E+11
17 8.3191344025200000E+11
18 6.5744514214020000E+12
19 5.2643691153938000E+13
20 4.2651327056967300E+14
21 3.4922415472261300E+15
22 2.8868344994039000E+16
23 2.4071675114070800E+17
24 2.0231513069917600E+18
25 1.7127750030016800E+19
26 1.4597188302690400E+20
27 1.2517322825958500E+21
28 1.0795143708345200E+22
29 9.3592899958009400E+22
30 8.1544760726883200E+23
31 7.1374820760449400E+24
32 6.2742354104665300E+25
33 5.5376631344590600E+26
34 4.9060954274283700E+27
35 4.3620673705536900E+28
36 3.8914116029791900E+29

独舟星海 · 发表于 2021-9-3 16:20

10^n 二生L22差等于474的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 5 2 3 1.500000000000E+00
4 16 12 4 3.333333333333E-01
5 55 64 -9 -1.406250000000E-01
6 236 233 3 1.287553648069E-02
7 1175 1185 -10 -8.438818565401E-03
8 6523 6508 15 2.304855562385E-03
9 39211 39086 125 3.198076037456E-03
10 250128
11 1671473
12 11596651
13 82991046
14 609619962
15 4578877202
16 35060365834
17 2.7300498860400000E+11
18 2.1575057554450000E+12
19 1.7275824152077000E+13
20 1.3996678613098300E+14
21 1.1460319279291600E+15
22 9.4735844076768400E+15
23 7.8994845764248800E+16
24 6.6392772707427000E+17
25 5.6207304456302800E+18
26 4.7902883081397900E+19
27 4.1077489677480500E+20
28 3.5425898206193500E+21
29 3.0713926894477000E+22
30 2.6760147625693700E+23
31 2.3422727877075900E+24
32 2.0589853269026400E+25
33 1.8172679845834900E+26
34 1.6100094810927800E+27
35 1.4314784389422500E+28
36 1.2770256242070200E+29

独舟星海 · 发表于 2021-9-3 16:21

10^n 二生L22差等于480的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 14 8 6 7.500000000000E-01
4 45 39 6 1.538461538462E-01
5 156 140 16 1.142857142857E-01
6 665 647 18 2.782071097372E-02
7 3308 3272 36 1.100244498778E-02
8 18368 18449 -81 -4.390481868936E-03
9 110413 110020 393 3.572077804036E-03
10 704328 九九八十一变，
11 4706646 九九大成
12 32654616
13 233691668
14 1716608139
15 12893504727
16 98725292819
17 7.6874547084000000E+11
18 6.0752471458220000E+12
19 4.8646406206208000E+13
20 3.9412771706678700E+14
21 3.2270723642798800E+15
22 2.6676344426048500E+16
23 2.2243890198329300E+17
24 1.8695315267455300E+18
25 1.5827223872318800E+19
26 1.3488810075356400E+20
27 1.1566870739083200E+21
28 9.9754583005008200E+21
29 8.6486303098709100E+22
30 7.5352990403129400E+23
31 6.5955263536804200E+24
32 5.7978268187620700E+25
33 5.1171831679566200E+26
34 4.5335709905145400E+27
35 4.0308514953159200E+28
36 3.5959330625302400E+29

		自动登录	找回密码
密码			注册