[原创]k生素数群的数量公式

独舟星海 · 发表于 2021-8-29 15:23

10^n 二生L14差等于156的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 16 14 2 1.428571428571E-01
4 52 44 8 1.818181818182E-01
5 179 175 4 2.285714285714E-02
6 761 786 -25 -3.180661577608E-02
7 3787 3812 -25 -6.558237145855E-03
8 21027 20983 44 2.096935614545E-03
9 126393 126764 -371 -2.926698431731E-03
10 806262
11 5387817
12 37380571
13 267512802
14 1965045039
15 14759523113
16 1.130133561050000000E+11
17 8.800025117120000000E+11
18 6.954490075567000000E+12
19 5.568677965730500000E+13
20 4.511680316959130000E+14
21 3.694111892378560000E+15
22 3.053709060888770000E+16
23 2.546314741000470000E+17
24 2.140100334461650000E+18
25 1.811782610679630000E+19
26 1.544098430049580000E+20
27 1.324089141223450000E+21
28 1.141916107853680000E+22
29 9.900307298379780000E+22
30 8.625848650177520000E+23
31 7.550066930421620000E+24
32 6.636919964427160000E+25
33 5.857769849064500000E+26
34 5.189694131553630000E+27
35 4.614218326827390000E+28
36 4.116356124370480000E+29
37 3.683876470754230000E+30
38 3.306739464907320000E+31
39 2.976658941120740000E+32
40 2.686760896277820000E+33
41 2.431314981634320000E+34
42 2.205522096786170000E+35
43 2.005345356896290000E+36
44 1.827374810626710000E+37
45 1.668718583544520000E+38
46 1.526914833469020000E+39
47 1.399860188664930000E+40
48 1.285751310145640000E+41
49 1.183036957170740000E+42
50 1.090378499491190000E+43
51 1.006617254289480000E+44
52 9.307473619414330000E+44
53 8.618931763016600000E+45
54 7.992903497974890000E+46
55 7.422699544172090000E+47
56 6.902451066717160000E+48
57 6.426996653607490000E+49
58 5.991786512611640000E+50
59 5.592801021035610000E+51
60 5.226481278287500000E+52
61 4.889669727607820000E+53
62 4.579559250553980000E+54
63 4.293649411893590000E+55
64 4.029708756088140000E+56
65 3.785742239479940000E+57
66 3.559963032499250000E+58

独舟星海 · 发表于 2021-8-29 15:23

10^n 二生L14差等于162的数量实际数量理论-实际误差/实际
2 1 1 0 0.000000000000E+00
3 7 7 0 0.000000000000E+00
4 23 21 2 9.523809523810E-02
5 79 93 -14 -1.505376344086E-01
6 335 331 4 1.208459214502E-02
7 1669 1700 -31 -1.823529411765E-02
8 9267 9271 -4 -4.314529177004E-04
9 55703 56156 -453 -8.066813875632E-03
10 355332
11 2374492
12 16474183
13 117896939
14 866025078
15 6504745133
16 49806695817
17 3.8783042049300000E+11
18 3.0649489909690000E+12
19 2.4542006281757000E+13
20 1.9883657730164000E+14
21 1.6280509992891200E+15
22 1.3458157827799600E+16
23 1.1221994296229100E+17
24 9.4317459503260000E+17
25 7.9848000703421700E+18
26 6.8050753882940900E+19
27 5.8354611671730100E+20
28 5.0325970481053500E+21
29 4.3632152084105900E+22
30 3.8015420008287800E+23
31 3.3274287214018700E+24
32 2.9249910384631800E+25
33 2.5816077948398600E+26
34 2.2871767187973700E+27
35 2.0335558252656400E+28
36 1.8141404204722700E+29
37 1.6235400941273100E+30
38 1.4573301099347000E+31
39 1.3118586293048600E+32
40 1.1840961750672800E+33
41 1.0715172958358000E+34
42 9.7200695545661300E+34
43 8.8378603770787700E+35
44 8.0535172544570700E+36
45 7.3542952585627100E+37
46 6.7293446784526000E+38
47 6.1693956366696700E+39
48 5.6665005454723500E+40
49 5.2138228522299800E+41
50 4.8054630109132600E+42
51 4.4363145310481000E+43
52 4.1019444370938800E+44
53 3.7984936240112000E+45
54 3.5225934964089000E+46
55 3.2712959873371000E+47
56 3.0420146124695500E+48
57 2.8324746594495500E+49
58 2.6406709660067800E+50
59 2.4648320236070200E+51
60 2.3033893709167200E+52
61 2.1549514249012000E+53
62 2.0182810459938500E+54
63 1.8922762545586000E+55
64 1.7759536143798800E+56
65 1.6684338795346800E+57
66 1.5689295671986000E+58

独舟星海 · 发表于 2021-8-29 15:23

10^n 二生L14差等于168的数量实际数量理论-实际误差/实际
2 2 0 2 #DIV/0!
3 9 8 1 1.250000000000E-01
4 29 30 -1 -3.333333333333E-02
5 102 99 3 3.030303030303E-02
6 434 443 -9 -2.031602708804E-02
7 2160 2170 -10 -4.608294930876E-03
8 11992 12051 -59 -4.895859264791E-03
9 72086 71907 179 2.489326491162E-03
10 459841
11 3072873
12 21319531
13 152572509
14 1120738336
15 8417905466
16 64455723999
17 5.0189819122600000E+11
18 3.9664045765480000E+12
19 3.1760243423450000E+13
20 2.5731792356682800E+14
21 2.1068895284918000E+15
22 1.7416439541858300E+16
23 1.4522580853943500E+17
24 1.2205788876892500E+18
25 1.0333270679266300E+19
26 8.8065681495570600E+19
27 7.5517732751650800E+20
28 6.5127726504892800E+21
29 5.6465137991195900E+22
30 4.9196425893078400E+23
31 4.3060842276965400E+24
32 3.7852825203641100E+25
33 3.3409042050868800E+26
34 2.9598757537377800E+27
35 2.6316604797555300E+28
36 2.3477111323758800E+29
37 2.1010518865176900E+30
38 1.8859566128566700E+31
39 1.6976994026298200E+32
40 1.5323597559694300E+33
41 1.3866694416698600E+34
42 1.2578913541203200E+35
43 1.1437231076219600E+36
44 1.0422198799885600E+37
45 9.5173232757870500E+37
46 8.7085637015268900E+38
47 7.9839237651019300E+39
48 7.3331183529642200E+40
49 6.7473001617093900E+41
50 6.2188344847112800E+42
51 5.7411129225328400E+43
52 5.3083986832979700E+44
53 4.9156976310733100E+45
54 4.5586504071174000E+46
55 4.2334418659656600E+47
56 3.9367247926076500E+48
57 3.6655554416405900E+49
58 3.4173388971852500E+50
59 3.1897826187855600E+51
60 2.9808568329510500E+52
61 2.7887606675192100E+53
62 2.6118931183449900E+54
63 2.4488280941346600E+55
64 2.2982929127269000E+56
65 2.1591497264566400E+57
66 2.0303794399040800E+58

独舟星海 · 发表于 2021-8-29 15:24

10^n 二生L14差等于174的数量实际数量理论-实际误差/实际
2 3 1 2 2.000000000000E+00
3 13 12 1 8.333333333333E-02
4 43 39 4 1.025641025641E-01
5 148 152 -4 -2.631578947368E-02
6 629 628 1 1.592356687898E-03
7 3133 3105 28 9.017713365539E-03
8 17395 17486 -91 -5.204163330665E-03
9 104559 104368 191 1.830062854515E-03
10 666984
11 4457095
12 30923236
13 221301103
14 1625591861
15 12209878231
16 93490779205
17 7.2798581829800000E+11
18 5.7531314753330000E+12
19 4.6067125170247000E+13
20 3.7323067192704800E+14
21 3.0559697649310100E+15
22 2.5261938005248800E+16
23 2.1064496926987400E+17
24 1.7704070982599600E+18
25 1.4988048657345100E+19
26 1.2773619895066800E+20
27 1.0953583701675500E+21
28 9.4465495397910800E+21
29 8.1900712942113600E+22
30 7.1357699603518500E+23
31 6.2458249600333300E+24
32 5.4904202510490600E+25
33 4.8458650063085700E+26
34 4.2931965293168700E+27
35 3.8171317237756400E+28
36 3.4052731006112400E+29
37 3.0475024688862500E+30
38 2.7355142777644300E+31
39 2.4624537614423600E+32
40 2.2226343716235600E+33
41 2.0113156529523100E+34
42 1.8245275292205700E+35
43 1.6589304702879400E+36
44 1.5117035794159700E+37
45 1.3804545411880000E+38
46 1.2631467861958900E+39
47 1.1580402912311800E+40
48 1.0636432364520400E+41
49 9.7867235136235900E+41
50 9.0202024839870300E+42
51 8.3272840227528700E+43
52 7.6996471134254500E+44
53 7.1300479360475000E+45
54 6.6121633928351700E+46
55 6.1404597483785600E+47
56 5.7100819840683500E+48
57 5.3167602998866000E+49
58 4.9567308608707900E+50
59 4.6266684170617500E+51
60 4.3236288528176100E+52
61 4.0450000658877400E+53
62 3.7884598556087600E+54
63 3.5519397263064900E+55
64 3.3335936969017900E+56
65 3.1317713590488500E+57
66 2.9449945503911000E+58

独舟星海 · 发表于 2021-8-29 15:24

10^n 二生L14差等于180的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 18 18 0 0.000000000000E+00
4 60 50 10 2.000000000000E-01
5 206 215 -9 -4.186046511628E-02
6 875 889 -14 -1.574803149606E-02
7 4353 4335 18 4.152249134948E-03
8 24166 24077 89 3.696473813183E-03
9 145262 145578 -316 -2.170657654316E-03
10 926630
11 6192171
12 42961162
13 307450116
14 2258409019
15 16962990395
16 1.2988525844600000E+11
17 1.0113791644360000E+12
18 7.9927344161970000E+12
19 6.4000327192621000E+13
20 5.1852345969877300E+14
21 4.2456103810155300E+15
22 3.5096010265034900E+16
23 2.9264571871870700E+17
24 2.4595985344003400E+18
25 2.0822658555401900E+19
26 1.7746187757478200E+20
27 1.5217640307447800E+21
28 1.3123941621137000E+22
29 1.1378336299981700E+23
30 9.9136121593443000E+23
31 8.6772256691230800E+24
32 7.6277538742331100E+25
33 6.7322834839133300E+26
34 5.9644699243348100E+27
35 5.3030806319287700E+28
36 4.7308919715291700E+29
37 4.2338469007614600E+30
38 3.8004066494273900E+31
39 3.4210479999910800E+32
40 3.0878707209918800E+33
41 2.7942889729035400E+34
42 2.5347871917451200E+35
43 2.3047258211981900E+36
44 2.1001858341133300E+37
45 1.9178436245818300E+38
46 1.7548698189887800E+39
47 1.6088470306565100E+40
48 1.4777026979125500E+41
49 1.3596539933865200E+42
50 1.2531624410800400E+43
51 1.1568963769987600E+44
52 1.0696997755032900E+45
53 9.9056626416279300E+45
54 9.1861738501937100E+46
55 8.5308434497919700E+47
56 7.9329264399831600E+48
57 7.3864908552455400E+49
58 6.8863076592932700E+50
59 6.4277571350374600E+51
60 6.0067490692582400E+52
61 5.6196545096803900E+53
62 5.2632472597111100E+54
63 4.9346535910798500E+55
64 4.6313089115178700E+56
65 4.3509203348564800E+57
66 4.0914342735510900E+58

独舟星海 · 发表于 2021-8-29 18:00

10^n 二生L14差等于186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 43 37 6 1.621621621622E-01
5 148 150 -2 -1.333333333333E-02
6 627 604 23 3.807947019868E-02
7 3123 3093 30 9.699321047527E-03
8 17339 17263 76 4.402479290969E-03
9 104228 104024 204 1.961085903253E-03
10 664870
11 4442971
12 30825248
13 220599853
14 1620440756
15 12171188103
16 93194529714
17 7.2567900868200000E+11
18 5.7349012039840000E+12
19 4.5921149679205000E+13
20 3.7204799490075500E+14
21 3.0462861416227600E+15
22 2.5181889081176800E+16
23 2.0997748670587900E+17
24 1.7647971096931400E+18
25 1.4940555184409300E+19
26 1.2733143407123100E+20
27 1.0918874464804200E+21
28 9.4166157268470300E+21
29 8.1641189545674900E+22
30 7.1131584446544900E+23
31 6.2260334631224800E+24
32 5.4730224475350000E+25
33 4.8305096412580900E+26
34 4.2795924359598900E+27
35 3.8050361637491000E+28
36 3.3944826201730900E+29
37 3.0378456763753000E+30
38 2.7268460997856400E+31
39 2.4546508456827100E+32
40 2.2155913850555100E+33
41 2.0049422838958800E+34
42 1.8187460461996100E+35
43 1.6536737239833200E+36
44 1.5069133592427200E+37
45 1.3760802172256200E+38
46 1.2591441819159200E+39
47 1.1543707438145900E+40
48 1.0602728102932600E+41
49 9.7557117722721100E+41
50 8.9916196609429400E+42
51 8.3008968894171400E+43
52 7.6752488084721300E+44
53 7.1074545520504400E+45
54 6.5912110587238800E+46
55 6.1210021281412300E+47
56 5.6919881260637700E+48
57 5.2999127824290600E+49
58 4.9410241889501800E+50
59 4.6120076325745600E+51
60 4.3099283268451800E+52
61 4.0321824466267700E+53
62 3.7764551497438200E+54
63 3.5406844950807400E+55
64 3.3230303510225200E+56
65 3.1218475389650800E+57
66 2.9356625804880900E+58

独舟星海 · 发表于 2021-8-29 18:00

10^n 二生L14差等于192的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 6 7 -1 -1.428571428571E-01
4 20 20 0 0.000000000000E+00
5 68 70 -2 -2.857142857143E-02
6 291 302 -11 -3.642384105960E-02
7 1448 1407 41 2.914001421464E-02
8 8043 7964 79 9.919638372677E-03
9 48347 48243 104 2.155753166262E-03
10 308405
11 2060906
12 14298527
13 102326928
14 751653830
15 5645698630
16 43228994928
17 3.3661175481100000E+11
18 2.6601777574440000E+12
19 2.1300876271075000E+13
20 1.7257730613550600E+14
21 1.4130431106863500E+15
22 1.1680811724820300E+16
23 9.7399662144318300E+16
24 8.1861462832991000E+17
25 6.9302907184919100E+18
26 5.9063658935309100E+19
27 5.0648033775059900E+20
28 4.3679691795839400E+21
29 3.7869889784647800E+22
30 3.2994929130607400E+23
31 2.8879932097519100E+24
32 2.5387032946292300E+25
33 2.2406688184740400E+26
34 1.9851216619319800E+27
35 1.7649951078574300E+28
36 1.5745567086567300E+29
37 1.4091279363677000E+30
38 1.2648684056815000E+31
39 1.1386085565765900E+32
40 1.0277189985445600E+33
41 9.3000780290246900E+33
42 8.4363925488016300E+34
43 7.6706919651116200E+35
44 6.9899327958234700E+36
45 6.3830532665149300E+37
46 5.8406365288761000E+38
47 5.3546369280206800E+39
48 4.9181564711279600E+40
49 4.5252614720911900E+41
50 4.1708315060118000E+42
51 3.8504344689892700E+43
52 3.5602228245826400E+44
53 3.2968471188793800E+45
54 3.0573836286594000E+46
55 2.8392736222274100E+47
56 2.6402721982506700E+48
57 2.4584050533284700E+49
58 2.2919318361246900E+50
59 2.1393149916543100E+51
60 1.9991931967875800E+52
61 1.8703586473335100E+53
62 1.7517375860558000E+54
63 1.6423735658077800E+55
64 1.5414130274750400E+56
65 1.4480928423873600E+57
66 1.3617295263171300E+58

独舟星海 · 发表于 2021-8-29 19:08

n值常数
2 0.8198024467614170
3 0.6708911371764450
4 0.8402588276900470
6 0.9136964989279490
7 0.8821704211013320
8 0.8218582224408050
9 0.6728058758352150
10 0.8430124893896950
11 0.7021951679445290
12 0.9177718695843230
13 0.8868498480188450
14 0.8271250132350180

独木星空谁 · 发表于 2021-8-29 19:20

10^n 二生L14差等于198的数量实际数量理论-实际误差/实际
2 2 0 2 #DIV/0!
3 8 6 2 3.333333333333E-01
4 27 27 0 0.000000000000E+00
5 92 94 -2 -2.127659574468E-02
6 393 387 6 1.550387596899E-02
7 1957 2020 -63 -3.118811881188E-02
8 10868 10973 -105 -9.568941948419E-03
9 65331 65516 -185 -2.823737712925E-03
10 416746
11 2784894
12 19321540
13 138273958
14 1015706736
15 7629009385
16 58415163398
17 4.5486208254300000E+11
18 3.5946872840630000E+12
19 2.8783786668675000E+13
20 2.3320300538078500E+14
21 1.9094393551718100E+15
22 1.5784232936028900E+16
23 1.3161576364677600E+17
24 1.1061905869901200E+18
25 9.3648734002480900E+18
26 7.9812479873133900E+19
27 6.8440480138781200E+20
28 5.9024188226104500E+21
29 5.1173426616618100E+22
30 4.4585912295687300E+23
31 3.9025333696229400E+24
32 3.4305393410926100E+25
33 3.0278065768443100E+26
34 2.6824867531860900E+27
35 2.3850306442467600E+28
36 2.1276920171236800E+29
37 1.9041487961861500E+30
38 1.7092114845304200E+31
39 1.5385970687098900E+32
40 1.3887524641237400E+33
41 1.2567157265402200E+34
42 1.1400062621257000E+35
43 1.0365374565585700E+36
44 9.4454674945257700E+36
45 8.6253936777071100E+37
46 7.8924281666630700E+38
47 7.2356989009718100E+39
48 6.6458846512497900E+40
49 6.1149672518177200E+41
50 5.6360274935286100E+42
51 5.2030762925747400E+43
52 4.8109144887568900E+44
53 4.4550159787520000E+45
54 4.1314299473741200E+46
55 3.8366987909866000E+47
56 3.5677889836334100E+48
57 3.3220326572333500E+49
58 3.0970780821697700E+50
59 2.8908475667028100E+51
60 2.7015015604752400E+52
61 2.5274079626416000E+53
62 2.3671158094560500E+54
63 2.2193326578153800E+55
64 2.0829050967919700E+56
65 1.9568019137462800E+57
66 1.8400995192471200E+58

独木星空谁 · 发表于 2021-8-29 19:20

10^n 二生L14差等于204的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 15 14 1 7.142857142857E-02
4 48 38 10 2.631578947368E-01
5 166 163 3 1.840490797546E-02
6 708 724 -16 -2.209944751381E-02
7 3522 3600 -78 -2.166666666667E-02
8 19557 19609 -52 -2.651843541231E-03
9 117557 117437 120 1.021824467587E-03
10 749895
11 5011146
12 34767235
13 248810554
14 1827665594
15 13727661222
16 1.0511241144400000E+11
17 8.1848012723100000E+11
18 6.4682905402180000E+12
19 5.1793627736704000E+13
20 4.1962615227821100E+14
21 3.4358506156943200E+15
22 2.8402193714415000E+16
23 2.3682978007969500E+17
24 1.9904824937701600E+18
25 1.6851179876957400E+19
26 1.4361480366970000E+20
27 1.2315199494884600E+21
28 1.0620829245413300E+22
29 9.2081609647180900E+22
30 8.0228017610250900E+23
31 7.0222296636282000E+24
32 6.1729222639784000E+25
33 5.4482437806032100E+26
34 4.8268743060954500E+27
35 4.2916309362167100E+28
36 3.8285750774129600E+29
37 3.4263307687827000E+30
38 3.0755600148124200E+31
39 2.7685559489040100E+32
40 2.4989251405039900E+33
41 2.2613378587231600E+34
42 2.0513305159500600E+35
43 1.8651484524296600E+36
44 1.6996201119813500E+37
45 1.5520557957437300E+38
46 1.4201657728643900E+39
47 1.3019937216935500E+40
48 1.1958623775603200E+41
49 1.1003289494479900E+42
50 1.0141483928913800E+43
51 9.3624303044381700E+43
52 8.6567732373782200E+44
53 8.0163684445195600E+45
54 7.4341068177606900E+46
55 6.9037667352670800E+47
56 6.4198896617909400E+48
57 5.9776750279061900E+49
58 5.5728911246405600E+50
59 5.2017993475579900E+51
60 4.8610896045047900E+52
61 4.5478250885697800E+53
62 4.2593949314549000E+54
63 3.9934735073580700E+55
64 3.7479853653700300E+56
65 3.5210749385292900E+57
66 3.3110803173820300E+58

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