[原创]k生素数群的数量公式

独舟星海 · 发表于 2021-8-18 22:09

10^n 二生L10差等于42的数量实际数量理论-实际误差/实际
2 5 4 1 2.500000000000E-01
3 20 20 0 0.000000000000E+00
4 65 62 3 4.838709677419E-02
5 224 203 21 1.034482758621E-01
6 949 953 -4 -4.197271773347E-03
7 4725 4693 32 6.818666098444E-03
8 26234 26312 -78 -2.964426877470E-03
9 157690 157486 204 1.295353237748E-03
10 1005903
11 6721909
12 46636474
13 333752365
14 2451615110
15 18414168208
16 1.4099689624800000E+11
17 1.0979022933080000E+12
18 8.6765100112000000E+12
19 6.9475532488798000E+13
20 5.6288295780243500E+14
21 4.6088208435758100E+15
22 3.8098461497814900E+16
23 3.1768145618001500E+17
24 2.6700163168202300E+18
25 2.2604029610895100E+19
26 1.9264367827156000E+20
27 1.6519504039423600E+21
28 1.4246690172945300E+22
29 1.2351748935574100E+23
30 1.0761718164110900E+24
31 9.4195592480861700E+24
32 8.2803055132964900E+25
33 7.3082279486275400E+26
34 6.4747282113013800E+27
35 5.7567572994652200E+28
36 5.1356181020722200E+29
37 4.5960510017574500E+30
38 4.1255300906239600E+31
39 3.7137174432527200E+32
40 3.3520369661831200E+33
41 3.0333394036528200E+34
42 2.7516373371382000E+35
43 2.5018942979230300E+36
44 2.2798559874749800E+37
45 2.0819144665784100E+38
46 1.9049983097090100E+39
47 1.7464833236160500E+40
48 1.6041196397109200E+41
49 1.4759719103739300E+42
50 1.3603700435305900E+43
51 1.2558684518040600E+44
52 1.1612122119714300E+45
53 1.0753088567972900E+46
54 9.9720477655693100E+46
55 9.2606540817998700E+47
56 8.6115854838292300E+48
57 8.0184025285887800E+49
58 7.4754288375927300E+50
59 6.9776494785934100E+51
60 6.5206243220804200E+52
61 6.1004139601982600E+53
62 5.7135161963796500E+54
63 5.3568114559195700E+55
64 5.0275157465901000E+56
65 4.7231400266238900E+57
66 4.4414550247901700E+58

独舟星海 · 发表于 2021-8-18 22:10

10^n 二生L10差等于48的数量实际数量理论-实际误差/实际
2 3 2 1 5.000000000000E-01
3 12 11 1 9.090909090909E-02
4 39 36 3 8.333333333333E-02
5 134 139 -5 -3.597122302158E-02
6 569 572 -3 -5.244755244755E-03
7 2830 2793 37 1.324740422485E-02
8 15715 15790 -75 -4.749841671944E-03
9 94462 94144 318 3.377804214820E-03
10 602576
11 4026692
12 27937113
13 199931016
14 1468615515
15 11030823323
16 84462780728
17 6.5768738978300000E+11
18 5.1975765571090000E+12
19 4.1618622982089000E+13
20 3.3718940704197100E+14
21 2.7608680381356500E+15
22 2.2822502375651000E+16
23 1.9030389951007600E+17
24 1.5994465744279900E+18
25 1.3540717898110600E+19
26 1.1540126903179600E+20
27 9.8958436997763100E+20
28 8.5343372812011400E+21
29 7.3991916823663000E+22
30 6.4466996490289800E+23
31 5.6426927719735400E+24
32 4.9602342146851300E+25
33 4.3779208703458400E+26
34 3.8786211876979800E+27
35 3.4485278926716500E+28
36 3.0764406678653400E+29
37 2.7532183920927800E+30
38 2.4713575454873800E+31
39 2.2246652972061100E+32
40 2.0080042242223400E+33
41 1.8170916363641800E+34
42 1.6483408304392700E+35
43 1.4987347602278100E+36
44 1.3657249307370100E+37
45 1.2471500420591300E+38
46 1.1411701874480800E+39
47 1.0462133701789600E+40
48 9.6093182897243000E+40
49 8.8416621319039700E+41
50 8.1491607087656500E+42
51 7.5231543736870300E+43
52 6.9561256345936500E+44
53 6.4415301757584600E+45
54 5.9736554934866400E+46
55 5.5475022211614000E+47
56 5.1586841682330600E+48
57 4.8033438507258300E+49
58 4.4780808908715500E+50
59 4.1798911436565900E+51
60 3.9061147938990500E+52
61 3.6543919787171600E+53
62 3.4226247422792700E+54
63 3.2089443345540600E+55
64 3.0116830328373300E+56
65 2.8293498015487800E+57
66 2.6606092180503000E+58

独舟星海 · 发表于 2021-8-18 22:10

10^n 二生L10差等于54的数量实际数量理论-实际误差/实际
2 3 3 0 0.000000000000E+00
3 12 12 0 0.000000000000E+00
4 40 40 0 0.000000000000E+00
5 138 137 1 7.299270072993E-03
6 586 590 -4 -6.779661016949E-03
7 2916 2972 -56 -1.884253028264E-02
8 16190 16305 -115 -7.053051211285E-03
9 97317 97682 -365 -3.736614729428E-03
10 620785
11 4148378
12 28781367
13 205972888
14 1512996754
15 11364172380
16 87015227399
17 6.7756255815600000E+11
18 5.3546461783400000E+12
19 4.2876328621658000E+13
20 3.4737919681521700E+14
21 2.8443008634639300E+15
22 2.3512193381508600E+16
23 1.9605484152823800E+17
24 1.6477814983804800E+18
25 1.3949915417009500E+19
26 1.1888867001902000E+20
27 1.0194893921472800E+21
28 8.7922430781605200E+21
29 7.6227936288114300E+22
30 6.6415174955655700E+23
31 5.8132137073903200E+24
32 5.1101314024915500E+25
33 4.5102206768672800E+26
34 3.9958322675460000E+27
35 3.5527416476699700E+28
36 3.1694100287074300E+29
37 2.8364200467988800E+30
38 2.5460414273565000E+31
39 2.2918941935502500E+32
40 2.0686856705587300E+33
41 1.8720037462543100E+34
42 1.6981533280624300E+35
43 1.5440261952896400E+36
44 1.4069968379845600E+37
45 1.2848386422312500E+38
46 1.1756560997061300E+39
47 1.0778297082887600E+40
48 9.8997097765016800E+40
49 9.1088552183076600E+41
50 8.3954265543602200E+42
51 7.7505024454193300E+43
52 7.1663382224522500E+44
53 6.6361918019489700E+45
54 6.1541780496084900E+46
55 5.7151465190536400E+47
56 5.3145784700203200E+48
57 4.9484998462147900E+49
58 4.6134075112000800E+50
59 4.3062065353605000E+51
60 4.0241567244839200E+52
61 3.7648269011509200E+53
62 3.5260557097657300E+54
63 3.3059179270817900E+55
64 3.1026954321813200E+56
65 2.9148521307164600E+57
66 2.7410122438705000E+58

独舟星海 · 发表于 2021-8-18 22:11

10^n 二生L10差等于60的数量实际数量理论-实际误差/实际
2 4 4 0 0.000000000000E+00
3 19 20 -1 -5.000000000000E-02
4 62 60 2 3.333333333333E-02
5 215 206 9 4.368932038835E-02
6 911 938 -27 -2.878464818763E-02
7 4536 4487 49 1.092043681747E-02
8 25184 25241 -57 -2.258230656472E-03
9 151382 151108 274 1.813272626201E-03
10 965667
11 6453033
12 44771015
13 320402270
14 2353550506
15 17677601480
16 1.3535702039800000E+11
17 1.0539862015760000E+12
18 8.3294496107520000E+12
19 6.6696511189246000E+13
20 5.4036763949033800E+14
21 4.4244680098327800E+15
22 3.6574523037902300E+16
23 3.0497419793281400E+17
24 2.5632156641474200E+18
25 2.1699868426459300E+19
26 1.8493793114069800E+20
27 1.5858723877846600E+21
28 1.3676822566027500E+22
29 1.1857678978151100E+23
30 1.0331249437546400E+24
31 9.0427768781627200E+24
32 7.9490932927646300E+25
33 7.0158988306824400E+26
34 6.2157390828493300E+27
35 5.5264870074866100E+28
36 4.9301933779893300E+29
37 4.4122089616871500E+30
38 3.9605088869990100E+31
39 3.5651687455226100E+32
40 3.2179554875357900E+33
41 2.9120058275067000E+34
42 2.6415718436526800E+35
43 2.4018185260061100E+36
44 2.1886617479759800E+37
45 1.9986378879152800E+38
46 1.8287983773206500E+39
47 1.6766239906714000E+40
48 1.5399548541224800E+41
49 1.4169330339589700E+42
50 1.3059552417893700E+43
51 1.2056337137319000E+44
52 1.1147637234925700E+45
53 1.0322965025253900E+46
54 9.5731658549465300E+46
55 8.8902279185278800E+47
56 8.2671220644760600E+48
57 7.6976664274452300E+49
58 7.1764116840890200E+50
59 6.6985434994496700E+51
60 6.2597993491972000E+52
61 5.8563974017903300E+53
62 5.4849755485244700E+54
63 5.1425389976827900E+55
64 4.8264151167264900E+56
65 4.5342144255589400E+57
66 4.2637968237985600E+58

独舟星海 · 发表于 2021-8-18 22:11

10^n 二生L10差等于66的数量实际数量理论-实际误差/实际
2 5 5 0 0.000000000000E+00
3 19 21 -2 -9.523809523810E-02
4 64 55 9 1.636363636364E-01
5 221 188 33 1.755319148936E-01
6 937 909 28 3.080308030803E-02
7 4666 4570 96 2.100656455142E-02
8 25904 25822 82 3.175586709008E-03
9 155707 155629 78 5.011919372353E-04
10 993257
11 6637405
12 46050187
13 329556621
14 2420794806
15 18182675808
16 1.3922436383800000E+11
17 1.0841000930490000E+12
18 8.5674338853450000E+12
19 6.8602125794653000E+13
20 5.5580671490434700E+14
21 4.5508813815422800E+15
22 3.7619509410413800E+16
23 3.1368774644518000E+17
24 2.6364503974087700E+18
25 2.2319864667215300E+19
26 1.9022187203043200E+20
27 1.6311830274356600E+21
28 1.4067588925056800E+22
29 1.2196469806098300E+23
30 1.0626427992904900E+24
31 9.3011419318245100E+24
32 8.1762102439864800E+25
33 7.2163530829876500E+26
34 6.3933316280736000E+27
35 5.6843866362719400E+28
36 5.0710560459318800E+29
37 4.5382720748782100E+30
38 4.0736662837704100E+31
39 3.6670307096804000E+32
40 3.3098970728939600E+33
41 2.9952059940069000E+34
42 2.7170453248998900E+35
43 2.4704419124634300E+36
44 2.2511949407752900E+37
45 2.0557418275700000E+38
46 1.8810497595298100E+39
47 1.7245275332620200E+40
48 1.5839535642402700E+41
49 1.4574168349292300E+42
50 1.3432682486976300E+43
51 1.2400803912670900E+44
52 1.1466141155923600E+45
53 1.0617906883118300E+46
54 9.8466848793735800E+46
55 9.1442344304858200E+47
56 8.5033255520325200E+48
57 7.9175997539436700E+49
58 7.3814520179201300E+50
59 6.8899304565768000E+51
60 6.4386507591742600E+52
61 6.0237230418414800E+53
62 5.6416891356251700E+54
63 5.2894686833308700E+55
64 4.9643126914901100E+56
65 4.6637634091463400E+57
66 4.3856195901928000E+58

独舟星海 · 发表于 2021-8-18 22:11

10^n 二生L10差等于72的数量实际数量理论-实际误差/实际
2 2 2 0 0.000000000000E+00
3 11 7 4 5.714285714286E-01
4 37 31 6 1.935483870968E-01
5 128 123 5 4.065040650407E-02
6 546 535 11 2.056074766355E-02
7 2717 2696 21 7.789317507418E-03
8 15088 15109 -21 -1.389900059567E-03
9 90693 90985 -292 -3.209320217618E-03
10 578530
11 3866006
12 26822275
13 191952711
14 1410009987
15 10590635120
16 81092268977
17 6.3144218382700000E+11
18 4.9901657577930000E+12
19 3.9957819766530000E+13
20 3.2373376600096800E+14
21 2.6506947986836000E+15
22 2.1911763801986500E+16
23 1.8270976723001900E+17
24 1.5356201951874200E+18
25 1.3000371624860700E+19
26 1.1079614793564300E+20
27 9.5009471880793000E+20
28 8.1937720778452900E+21
29 7.1039247932166600E+22
30 6.1894422306021500E+23
31 5.4175194810614500E+24
32 4.7622946303499800E+25
33 4.2032186688322700E+26
34 3.7238436847700900E+27
35 3.3109133873681100E+28
36 2.9536744111377500E+29
37 2.6433504139837400E+30
38 2.3727373061750800E+31
39 2.1358893835788600E+32
40 1.9278742335237000E+33
41 1.7445800678305900E+34
42 1.5825633117378600E+35
43 1.4389273151297900E+36
44 1.3112252814450700E+37
45 1.1973821580753700E+38
46 1.0956314602866900E+39
47 1.0044639223391700E+40
48 9.2258556575806500E+40
49 8.4888330412857200E+41
50 7.8239660881975600E+42
51 7.2229407174027900E+43
52 6.6785394245275700E+44
53 6.1844790466611500E+45
54 5.7352750392247300E+46
55 5.3261275367757100E+47
56 4.9528253809698900E+48
57 4.6116650218478200E+49
58 4.2993817747019800E+50
59 4.0130913757964200E+51
60 3.7502401506451700E+52
61 3.5085624073788900E+53
62 3.2860439097016000E+54
63 3.0808904805937400E+55
64 2.8915009483091200E+56
65 2.7164437774745000E+57
66 2.5544368358793200E+58

独舟星海 · 发表于 2021-8-18 22:12

10^n 二生L10差等于78的数量实际数量理论-实际误差/实际
2 4 1 3 3.000000000000E+00
3 16 15 1 6.666666666667E-02
4 53 49 4 8.163265306122E-02
5 181 164 17 1.036585365854E-01
6 771 743 28 3.768506056528E-02
7 3838 3727 111 2.978266702442E-02
8 21310 21115 195 9.235140895098E-03
9 128092 127785 307 2.402472903705E-03
10 817102
11 5460259
12 37883167
13 271109613
14 1991465812
15 14957970483
16 1.1453286341400000E+11
17 8.9183447825600000E+11
18 7.0479958244820000E+12
19 5.6435509467824000E+13
20 4.5723415649182400E+14
21 3.7437806237046600E+15
22 3.0947673339763500E+16
23 2.5805509055853500E+17
24 2.1688747927401200E+18
25 1.8361427130080900E+19
26 1.5648594173443700E+20
27 1.3418920204331800E+21
28 1.1572696017407900E+22
29 1.0033420673820200E+23
30 8.7418264471546800E+23
31 7.6515804353684600E+24
32 6.7261558631085300E+25
33 5.9365297798082100E+26
34 5.2594715316417400E+27
35 4.6762582371040600E+28
36 4.1717020890679000E+29
37 3.7334075829660500E+30
38 3.3511998274607000E+31
39 3.0166812462114400E+32
40 2.7228854125302900E+33
41 2.4640049309672100E+34
42 2.2351761753984200E+35
43 2.0323079835436300E+36
44 1.8519445559796700E+37
45 1.6911551359283100E+38
46 1.5474447808097800E+39
47 1.4186818382604200E+40
48 1.3030387227190200E+41
49 1.1989433364268200E+42
50 1.1050390507448500E+43
51 1.0201516039269900E+44
52 9.4326161218602200E+44
53 8.7348165598302600E+45
54 8.1003711080316800E+46
55 7.5225005464466700E+47
56 6.9952571314797400E+48
57 6.5134100539921200E+49
58 6.0723483480753200E+50
59 5.6679983456881800E+51
60 5.2967532954745500E+52
61 4.9554131861302800E+53
62 4.6411331564437800E+54
63 4.3513791518854300E+55
64 4.0838897141531900E+56
65 3.8366429754729500E+57
66 3.6078280816757000E+58

独舟星海 · 发表于 2021-8-18 22:12

10^n 二生L10差等于84的数量实际数量理论-实际误差/实际
2 4 3 1 3.333333333333E-01
3 19 16 3 1.875000000000E-01
4 62 56 6 1.071428571429E-01
5 212 200 12 6.000000000000E-02
6 901 894 7 7.829977628635E-03
7 4483 4439 44 9.912142374409E-03
8 24891 24676 215 8.712919435889E-03
9 149622 149708 -86 -5.744515991129E-04
10 954438
11 6377998
12 44250422
13 316676662
14 2326183639
15 17472047974
16 1.3378310155600000E+11
17 1.0417305480690000E+12
18 8.2325955455110000E+12
19 6.5920970361464000E+13
20 5.3408429484510100E+14
21 4.3730207073928600E+15
22 3.6149237886298800E+16
23 3.0142798632894400E+17
24 2.5334108308433800E+18
25 2.1447544374988800E+19
26 1.8278749008092200E+20
27 1.5674320111825200E+21
28 1.3517789745492300E+22
29 1.1719798990033100E+23
30 1.0211118630133100E+24
31 8.9376283098119900E+24
32 7.8566619754069000E+25
33 6.9343186117210100E+26
34 6.1434630470022400E+27
35 5.4622255306553700E+28
36 4.8728655480127100E+29
37 4.3609042063187000E+30
38 3.9144564580804100E+31
39 3.5237132949932800E+32
40 3.1805374004714200E+33
41 2.8781452946287200E+34
42 2.6108558919823000E+35
43 2.3738904036106900E+36
44 2.1632121927669600E+37
45 1.9753979124744000E+38
46 1.8075332799099400E+39
47 1.6571283628729000E+40
48 1.5220484023303600E+41
49 1.4004570684478200E+42
50 1.2907697157220500E+43
51 1.1916147170605900E+44
52 1.1018013546147500E+45
53 1.0202930548216100E+46
54 9.4618499729122700E+46
55 8.7868531752891800E+47
56 8.1709927381449400E+48
57 7.6081586782888900E+49
58 7.0929650365996100E+50
59 6.6206534587583900E+51
60 6.1870109846716500E+52
61 5.7882997575834600E+53
62 5.4211967630765100E+54
63 5.0827420325934500E+55
64 4.7702940107180500E+56
65 4.4814910020059300E+57
66 4.2142177909636900E+58

独舟星海 · 发表于 2021-8-18 22:12

10^n 二生L10差等于90的数量实际数量理论-实际误差/实际
2 3 3 0 0.000000000000E+00
3 14 15 -1 -6.666666666667E-02
4 47 40 7 1.750000000000E-01
5 161 146 15 1.027397260274E-01
6 683 682 1 1.466275659824E-03
7 3402 3454 -52 -1.505500868558E-02
8 18888 18866 22 1.166118944132E-03
9 113536 113595 -59 -5.193890576170E-04
10 724250
11 4839775
12 33578261
13 240301702
14 1765162879
15 13258201110
16 1.0151776529800000E+11
17 7.9048965118200000E+11
18 6.2470872080640000E+12
19 5.0022383391934000E+13
20 4.0527572961775300E+14
21 3.3183510073745800E+15
22 2.7430892278426700E+16
23 2.2873064844961100E+17
24 1.9224117481105600E+18
25 1.6274901319844500E+19
26 1.3870344835552300E+20
27 1.1894042908385000E+21
28 1.0257616924520600E+22
29 8.8932592336133400E+22
30 7.7484370781598400E+23
31 6.7820826586220400E+24
32 5.9618199695734700E+25
33 5.2619241230118300E+26
34 4.6618043121370000E+27
35 4.1448652556149600E+28
36 3.6976450334920000E+29
37 3.3091567212653600E+30
38 2.9703816652492500E+31
39 2.6738765591419600E+32
40 2.4134666156518500E+33
41 2.1840043706300300E+34
42 1.9811788827395100E+35
43 1.8013638945045800E+36
44 1.6414963109819800E+37
45 1.4989784159364600E+38
46 1.3715987829904800E+39
47 1.2574679930035500E+40
48 1.1549661405918600E+41
49 1.0626997754692300E+42
50 9.7946643134202500E+42
51 9.0422528529892100E+43
52 8.3607279261942900E+44
53 7.7422237689404600E+45
54 7.1798743912099000E+46
55 6.6676709388959100E+47
56 6.2003415483570400E+48
57 5.7732498205839200E+49
58 5.3823087630667600E+50
59 5.0239076245872500E+51
60 4.6948495118979000E+52
61 4.3922980513427400E+53
62 4.1137316613933500E+54
63 3.8569042482620900E+55
64 3.6198113375448700E+56
65 3.4006608191692000E+57
66 3.1978476178489200E+58

独舟星海 · 发表于 2021-8-18 22:13

10^n 二生L10差等于96的数量实际数量理论-实际误差/实际
2 2 3 -1 -3.333333333333E-01
3 11 12 -1 -8.333333333333E-02
4 36 33 3 9.090909090909E-02
5 126 121 5 4.132231404959E-02
6 536 558 -22 -3.942652329749E-02
7 2670 2648 22 8.308157099698E-03
8 14826 14985 -159 -1.061061061061E-02
9 89118 89265 -147 -1.646782053436E-03
10 568485
11 3798881
12 26356563
13 188619860
14 1385528163
15 10406751263
16 79684274174
17 6.2047853311000000E+11
18 4.9035221413370000E+12
19 3.9264037199321000E+13
20 3.1811281759635300E+14
21 2.6046711203882100E+15
22 2.1531312620429100E+16
23 1.7953740066688400E+17
24 1.5089574160993400E+18
25 1.2774647817774300E+19
26 1.0887240844232600E+20
27 9.3359834445722000E+20
28 8.0515046503301500E+21
29 6.9805802461643200E+22
30 6.0819757285399000E+23
31 5.3234557759984600E+24
32 4.6796075114391400E+25
33 4.1302387150799300E+26
34 3.6591870581923000E+27
35 3.2534264172801900E+28
36 2.9023901361789600E+29
37 2.5974542553103300E+30
38 2.3315397686414900E+31
39 2.0988042065478500E+32
40 1.8944007972149500E+33
41 1.7142891449215300E+34
42 1.5550854652586400E+35
43 1.4139434022798900E+36
44 1.2884586428430000E+37
45 1.1765921632154300E+38
46 1.0766081499140400E+39
47 9.8702354238897400E+39
48 9.0656682934997100E+40
49 8.3414425076077500E+41
50 7.6881195552749200E+42
51 7.0975297119224600E+43
52 6.5625807897914400E+44
53 6.0770987197334900E+45
54 5.6356941846231600E+46
55 5.2336506584740200E+47
56 4.8668301007512100E+48
57 4.5315932657644600E+49
58 4.2247321531136300E+50
59 3.9434125781689600E+51
60 3.6851252055713500E+52
61 3.4476436823726400E+53
62 3.2289887452067100E+54
63 3.0273973691225200E+55
64 2.8412961833162200E+56
65 2.6692785079821100E+57
66 2.5100844724088800E+58

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