[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-8-23 20:41

10^n 二生L10差等于150的数量实际数量理论-实际误差/实际
2 4 2 2 1.000000000000E+00
3 19 14 5 3.571428571429E-01
4 62 55 7 1.272727272727E-01
5 215 215 0 0.000000000000E+00
6 911 921 -10 -1.085776330076E-02
7 4536 4562 -26 -5.699254712845E-03
8 25184 25166 18 7.152507351188E-04
9 151382 150935 447 2.961539735648E-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 7.0158988306824300E+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 5.8563974017903200E+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 2021-8-23 20:43

10^n 二生L10差等于156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 44 44 0 0.000000000000E+00
5 151 140 11 7.857142857143E-02
6 644 625 19 3.040000000000E-02
7 3204 3180 24 7.547169811321E-03
8 17787 17622 165 9.363295880150E-03
9 106920 107026 -106 -9.904135443724E-04
10 682043
11 4557728
12 31621429
13 226297696
14 1662294890
15 12485555989
16 95601637962
17 7.4442246855000000E+11
18 5.8830271512370000E+12
19 4.7107240520748000E+13
20 3.8165756962718800E+14
21 3.1249682329583900E+15
22 2.5832308511451800E+16
23 2.1540096533504600E+17
24 1.8103798031494300E+18
25 1.5326452658570600E+19
26 1.3062025956552700E+20
27 1.1200896519851300E+21
28 9.6598361546882700E+21
29 8.3749888214789600E+22
30 7.2968832020828900E+23
31 6.3868447956203400E+24
32 5.6143843656473700E+25
33 4.9552761875119000E+26
34 4.3901294201008800E+27
35 3.9033159014535800E+28
36 3.4821582288128700E+29
37 3.1163097601349400E+30
38 2.7972774197296200E+31
39 2.5180516731355800E+32
40 2.2728175797124900E+33
41 2.0567276528895300E+34
42 1.8657221790612400E+35
43 1.6963862273204000E+36
44 1.5458352099995400E+37
45 1.4116227973718200E+38
46 1.2916664378434200E+39
47 1.1841868215162200E+40
48 1.0876584458579300E+41
49 1.0007690663625100E+42
50 9.2238629258650900E+42
51 8.5152995741474900E+43
52 7.8734917179350600E+44
53 7.2910319844483000E+45
54 6.7614545113821600E+46
55 6.2791006212313900E+47
56 5.8390056775330800E+48
57 5.4368034756309200E+49
58 5.0686451997326600E+50
59 4.7311305215338900E+51
60 4.4212488523957500E+52
61 4.1363291133540200E+53
62 3.8739966725039800E+54
63 3.6321363311463500E+55
64 3.4088604291684100E+56
65 3.2024812948820200E+57
66 3.0114873916023600E+58

独舟星海 · 发表于 2021-8-23 20:43

10^n 二生L10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 11 8 3 3.750000000000E-01
4 38 30 8 2.666666666667E-01
5 132 113 19 1.681415929204E-01
6 561 505 56 1.108910891089E-01
7 2791 2723 68 2.497245684906E-02
8 15498 15465 33 2.133850630456E-03
9 93158 92836 322 3.468482054375E-03
10 594256
11 3971097
12 27551394
13 197170627
14 1448338773
15 10878523987
16 83296627937
17 6.4860689327700000E+11
18 5.1258151450780000E+12
19 4.1044006885690000E+13
20 3.3253393199405400E+14
21 2.7227495445124800E+15
22 2.2507398792555300E+16
23 1.8767642949711600E+17
24 1.5773634856291800E+18
25 1.3353765185513400E+19
26 1.1380795762504500E+20
27 9.7592146940594700E+20
28 8.4165061944784400E+21
29 7.2970332173237600E+22
30 6.3576919615670400E+23
31 5.5647857711770600E+24
32 4.8917497186243800E+25
33 4.3174762034968800E+26
34 3.8250702048303600E+27
35 3.4009150815302200E+28
36 3.0339651556857400E+29
37 2.7152055148844000E+30
38 2.4372362381532300E+31
39 2.1939499972446800E+32
40 1.9802803000220300E+33
41 1.7920035861579700E+34
42 1.6255826730170300E+35
43 1.4780421698499100E+36
44 1.3468687679852200E+37
45 1.2299310079478600E+38
46 1.1254143860434700E+39
47 1.0317686096439400E+40
48 9.4766452561383600E+40
49 8.7195879012859600E+41
50 8.0366476417807200E+42
51 7.4192843921962800E+43
52 6.8600844522619800E+44
53 6.3525938616947300E+45
54 5.8911789876594000E+46
55 5.4709094883248500E+47
56 5.0874597319852700E+48
57 4.7370254938124500E+49
58 4.4162533440547800E+50
59 4.1221806150459500E+51
60 3.8521842148905800E+52
61 3.6039368626402000E+53
62 3.3753695683227500E+54
63 3.1646393831894100E+55
64 2.9701016102932300E+56
65 2.7902858003439600E+57
66 2.6238749684914200E+58

独舟星海 · 发表于 2021-8-23 20:44

10^n 二生L10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 18 15 3 2.000000000000E-01
4 60 50 10 2.000000000000E-01
5 206 205 1 4.878048780488E-03
6 876 881 -5 -5.675368898978E-03
7 4360 4320 40 9.259259259259E-03
8 24206 24193 13 5.373455131650E-04
9 145505 145435 70 4.813146766597E-04
10 928176
11 6202503
12 43032846
13 307963123
14 2262177368
15 16991294599
16 1.3010198313500000E+11
17 1.0130667372790000E+12
18 8.0060709788050000E+12
19 6.4107117225428000E+13
20 5.1938866054541900E+14
21 4.2526945459216200E+15
22 3.5154570967019000E+16
23 2.9313402318954000E+17
24 2.4637025854216900E+18
25 2.0857402946373200E+19
26 1.7775798793170600E+20
27 1.5243032244942000E+21
28 1.3145840042875800E+22
29 1.1397322029587600E+23
30 9.9301538711475800E+23
31 8.6917043640693500E+24
32 7.6404814355161200E+25
33 6.7435168760794700E+26
34 5.9744221537504700E+27
35 5.3119292766077200E+28
36 4.7387858703732800E+29
37 4.2409114372922400E+30
38 3.8067479537390400E+31
39 3.4267563118729100E+32
40 3.0930230980197000E+33
41 2.7989514836152700E+34
42 2.5390167014873400E+35
43 2.3085714538199900E+36
44 2.1036901742310300E+37
45 1.9210437110903300E+38
46 1.7577979697305500E+39
47 1.6115315298571000E+40
48 1.4801683715506700E+41
49 1.3619226926405600E+42
50 1.2552534500493100E+43
51 1.1588267577870100E+44
52 1.0714846612863900E+45
53 9.9221910889793800E+45
54 9.2015017688133200E+46
55 8.5450778934556200E+47
56 7.9461632078552200E+48
57 7.3988158484973600E+49
58 6.8977980540008600E+50
59 6.4384823988828000E+51
60 6.0167718450519000E+52
61 5.6290313850149400E+53
62 5.2720294389935200E+54
63 4.9428874836551000E+55
64 4.6390366474888800E+56
65 4.3581802184490000E+57
66 4.0982611824040300E+58

白新岭 · 发表于 2021-8-23 20:44

10^n 二生L10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 12 10 2 2.000000000000E-01
4 41 38 3 7.894736842105E-02
5 141 141 0 0.000000000000E+00
6 598 590 8 1.355932203390E-02
7 2979 2955 24 8.121827411168E-03
8 16540 16460 80 4.860267314702E-03
9 99421 99340 81 8.153815180189E-04
10 634208
11 4238073
12 29403667
13 210426356
14 1545710197
15 11609884215
16 88896637721
17 6.9221255941300000E+11
18 5.4704223119260000E+12
19 4.3803384375640000E+13
20 3.5489009836797900E+14
21 2.9057992605118000E+15
22 2.4020565130298000E+16
23 2.0029386512884800E+17
24 1.6834092064535700E+18
25 1.4251535209809700E+19
26 1.2145923585726900E+20
27 1.0415324060315500E+21
28 8.9823456312018300E+21
29 7.7876107883533000E+22
30 6.7851178738480700E+23
31 5.9389048145771400E+24
32 5.2206207301129900E+25
33 4.6077389617725200E+26
34 4.0822286408983400E+27
35 3.6295576832952600E+28
36 3.2379378131119100E+29
37 2.8977480478107500E+30
38 2.6010909717317800E+31
39 2.3414486625999900E+32
40 2.1134140093816200E+33
41 1.9124795029300800E+34
42 1.7348701567773000E+35
43 1.5774105454580700E+36
44 1.4374183912382800E+37
45 1.3126189371984100E+38
46 1.2010756910511300E+39
47 1.1011341344139200E+40
48 1.0113757555453100E+41
49 9.3058034392440400E+41
50 8.5769492906707100E+42
51 7.9180808766716400E+43
52 7.3212860759106800E+44
53 6.7796770300992100E+45
54 6.2872413587892100E+46
55 5.8387172546007400E+47
56 5.4294882747775200E+48
57 5.0554944374843000E+49
58 4.7131568627936000E+50
59 4.3993137036926200E+51
60 4.1111655185268100E+52
61 3.8462285638785100E+53
62 3.6022947521390400E+54
63 3.3773972336132900E+55
64 3.1697807388230700E+56
65 2.9778759605697900E+57
66 2.8002773734677000E+58

白新岭 · 发表于 2021-8-23 20:45

10^n 二生L10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 16 12 4 3.333333333333E-01
4 54 45 9 2.000000000000E-01
5 185 164 21 1.280487804878E-01
6 785 745 40 5.369127516779E-02
7 3908 3815 93 2.437745740498E-02
8 21697 21390 307 1.435250116877E-02
9 130421 130629 -208 -1.592295738312E-03
10 831959
11 5559536
12 38571952
13 276038879
14 2027674282
15 15229933582
16 1.1661527911200000E+11
17 9.0804965058800000E+11
18 7.1761412031090000E+12
19 5.7461609639966000E+13
20 4.6554750479167600E+14
21 3.8118493623174700E+15
22 3.1510358309577400E+16
23 2.6274700129596300E+17
24 2.2083088798808500E+18
25 1.8695271259718800E+19
26 1.5933114067506300E+20
27 1.3662900571683300E+21
28 1.1783108672269800E+22
29 1.0215846504253300E+23
30 8.9007687461938600E+23
31 7.7907000796478800E+24
32 6.8484496060741400E+25
33 6.0444666848956400E+26
34 5.3550982867625000E+27
35 4.7612811141423100E+28
36 4.2475512179600400E+29
37 3.8012877208381600E+30
38 3.4121307334145300E+31
39 3.0715299961425600E+32
40 2.7723924200308400E+33
41 2.5088050206211600E+34
42 2.2758157422238400E+35
43 2.0692590377898800E+36
44 1.8856162751793100E+37
45 1.7219034111270100E+38
46 1.5755801404608600E+39
47 1.4444760535015200E+40
48 1.3267303358593700E+41
49 1.2207423061800400E+42
50 1.1251306698493000E+43
51 1.0386998149074800E+44
52 9.6041182331667800E+44
53 8.8936314063726300E+45
54 8.2476505827231700E+46
55 7.6592732836547900E+47
56 7.1224436247793700E+48
57 6.6318356913374300E+49
58 6.1827546816766900E+50
59 5.7710528610643300E+51
60 5.3930579008468200E+52
61 5.0455116076962800E+53
62 4.7255173956518500E+54
63 4.4304951364651700E+55
64 4.1581422544105200E+56
65 3.9064001204815500E+57
66 3.6734249558879900E+58

白新岭 · 发表于 2021-8-23 20:45

10^n 二生L10差等于186的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 17 14 3 2.142857142857E-01
4 57 48 9 1.875000000000E-01
5 197 182 15 8.241758241758E-02
6 839 803 36 4.483188044832E-02
7 4176 4119 57 1.383831026948E-02
8 23185 23084 101 4.375324900364E-03
9 139368 139396 -28 -2.008665958851E-04
10 889026
11 5940887
12 41217760
13 294973518
14 2166760783
15 16274617235
16 1.2461439973100000E+11
17 9.7033650303800000E+11
18 7.6683821813270000E+12
19 6.1403137285338000E+13
20 4.9748131889586600E+14
21 4.0733197550841400E+15
22 3.3671783114259300E+16
23 2.8076989650957500E+17
24 2.3597858495325400E+18
25 1.9977656646581600E+19
26 1.7026031755810300E+20
27 1.4600094998652500E+21
28 1.2591360457612600E+22
29 1.0916593344964500E+23
30 9.5113090059951400E+23
31 8.3250961735466300E+24
32 7.3182128727039400E+25
33 6.4590814631679600E+26
34 5.7224264572263700E+27
35 5.0878769275273600E+28
36 4.5389081892600200E+29
37 4.0620336472675400E+30
38 3.6461827848562300E+31
39 3.2822188450843100E+32
40 2.9625621948742200E+33
41 2.6808942538950600E+34
42 2.4319232846326200E+35
43 2.2111980080691200E+36
44 2.0149584346445500E+37
45 1.8400158333188300E+38
46 1.6836556489618600E+39
47 1.5435585945863700E+40
48 1.4177362149064100E+41
49 1.3044780312638100E+42
50 1.2023080003775100E+43
51 1.1099484983563500E+44
52 1.0262904121042700E+45
53 9.5036820867417300E+45
54 8.8133907870936400E+46
55 8.1846542742002700E+47
56 7.6110012657081200E+48
57 7.0867405205051300E+49
58 6.6068552012248100E+50
59 6.1669130629854100E+51
60 5.7629898770386900E+52
61 5.3916039572037900E+53
62 5.0496600288003000E+54
63 4.7344009819936800E+55
64 4.4433662979386800E+56
65 4.1743561378161600E+57
66 3.9254002504812100E+58

白新岭 · 发表于 2021-8-23 20:46

10^n 二生L10差等于192的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 16 11 5 4.545454545455E-01
4 52 37 15 4.054054054054E-01
5 181 171 10 5.847953216374E-02
6 767 754 13 1.724137931034E-02
7 3819 3740 79 2.112299465241E-02
8 21203 21084 119 5.644090305445E-03
9 127452 126981 471 3.709216339452E-03
10 813018
11 5432966
12 37693810
13 269754488
14 1981511594
15 14883203995
16 1.1396037799800000E+11
17 8.8737669892100000E+11
18 7.0127668544130000E+12
19 5.6153420073420000E+13
20 4.5494869991454600E+14
21 3.7250675684159100E+15
22 3.0792983313697800E+16
23 2.5676521819085700E+17
24 2.1580338065846000E+18
25 1.8269648675197700E+19
26 1.5570375645866300E+20
27 1.3351846563822800E+21
28 1.1514850614009400E+22
29 9.9832692427732800E+22
30 8.6981309697556000E+23
31 7.6133344850510900E+24
32 6.6925355901283000E+25
33 5.9068564038391600E+26
34 5.2331823893405000E+27
35 4.6528842502894200E+28
36 4.1508500948707400E+29
37 3.7147463766781900E+30
38 3.3344490629373100E+31
39 3.0016025520723000E+32
40 2.7092752386469700E+33
41 2.4516887551173300E+34
42 2.2240037858931500E+35
43 2.0221496181151100E+36
44 1.8426877259591600E+37
45 1.6827020018530700E+38
46 1.5397099740328500E+39
47 1.4115906450669900E+40
48 1.2965255644673800E+41
49 1.1929504925084100E+42
50 1.0995155815752400E+43
51 1.0150524393962700E+44
52 9.3854677751092900E+44
53 8.6911561209182700E+45
54 8.0598819053673600E+46
55 7.4848997939495900E+47
56 6.9602917724970200E+48
57 6.4808531777459900E+49
58 6.0419960914151600E+50
59 5.6396672074404400E+51
60 5.2702778025887100E+52
61 4.9306438606138500E+53
62 4.6179347401666500E+54
63 4.3296290530319000E+55
64 4.0634766446666400E+56
65 3.8174657534774600E+57
66 3.5897945767376200E+58

独木星空谁 · 发表于 2021-8-23 20:57

10^n 二生L10差等于198的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 15 14 1 7.142857142857E-02
4 51 45 6 1.333333333333E-01
5 176 153 23 1.503267973856E-01
6 749 718 31 4.317548746518E-02
7 3730 3629 101 2.783135850096E-02
8 20708 20711 -3 -1.448505625030E-04
9 124475 124653 -178 -1.427964028142E-03
10 794028
11 5306065
12 36813376
13 263453694
14 1935228406
15 14535569323
16 1.1129854667300000E+11
17 8.6664978368800000E+11
18 6.8489660420630000E+12
19 5.4841815678865000E+13
20 4.4432222848458000E+14
21 3.6380592439654900E+15
22 3.0073735720534300E+16
23 2.5076782055937400E+17
24 2.1076274979285200E+18
25 1.7842915068268000E+19
26 1.5206690351270000E+20
27 1.3039980597232700E+21
28 1.1245892309275100E+22
29 9.7500848740611300E+22
30 8.4949642385141000E+23
31 7.4355059048015700E+24
32 6.5362145845822100E+25
33 5.7688869122721000E+26
34 5.1109482491867400E+27
35 4.5442044330662300E+28
36 4.0538965483467100E+29
37 3.6279791296264800E+30
38 3.2565646163862300E+31
39 2.9314925731456700E+32
40 2.6459932995518600E+33
41 2.3944233963717900E+34
42 2.1720565824054400E+35
43 1.9749172265332600E+36
44 1.7996471183523400E+37
45 1.6433982633190400E+38
46 1.5037461740427200E+39
47 1.3786193943228300E+40
48 1.2662419481571900E+41
49 1.1650861325742400E+42
50 1.0738336290460700E+43
51 9.9134333604200700E+43
52 9.1662465636017100E+44
53 8.4881523048184400E+45
54 7.8716230867085300E+46
55 7.3100711290220900E+47
56 6.7977166477004100E+48
57 6.3294765474840400E+49
58 5.9008700724652200E+50
59 5.5079385917401800E+51
60 5.1471772057352400E+52
61 4.8154762689139700E+53
62 4.5100712566771000E+54
63 4.2284996741743800E+55
64 3.9685639248830800E+56
65 3.7282992369629100E+57
66 3.5059458933227300E+58

独木星空谁 · 发表于 2021-8-23 20:58

10^n 二生L10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 12 11 1 9.090909090909E-02
4 41 37 4 1.081081081081E-01
5 142 136 6 4.411764705882E-02
6 604 594 10 1.683501683502E-02
7 3004 2997 7 2.335669002336E-03
8 16682 16683 -1 -5.994125756758E-05
9 100273 100523 -250 -2.486993026472E-03
10 639644
11 4274402
12 29655715
13 212230129
14 1558960012
15 11709404049
16 89658658986
17 6.9814619991600000E+11
18 5.5173147280740000E+12
19 4.4178866634906000E+13
20 3.5793221344255100E+14
21 2.9307077484485800E+15
22 2.4226469221786200E+16
23 2.0201078253301000E+17
24 1.6978393766588700E+18
25 1.4373699255233800E+19
26 1.2250038345210700E+20
27 1.0504604134558600E+21
28 9.0593422258528400E+21
29 7.8543661255213300E+22
30 6.8432798497997900E+23
31 5.9898130589771900E+24
32 5.2653718491065400E+25
33 4.6472364631673500E+26
34 4.1172214720408200E+27
35 3.6606702226226700E+28
36 3.2656933900555700E+29
37 2.9225875208168900E+30
38 2.6233875026629800E+31
39 2.3615195417414100E+32
40 2.1315301773060500E+33
41 1.9288732618780700E+34
42 1.7497414498357100E+35
43 1.5909320959921500E+36
44 1.4497399301500800E+37
45 1.3238706961919200E+38
46 1.2113713022340000E+39
47 1.1105730473755100E+40
48 1.0200452604037100E+41
49 9.3855727116292500E+41
50 8.6504708311447300E+42
51 7.9859546023894700E+43
52 7.3840440813867500E+44
53 6.8377923671819900E+45
54 6.3411355412502100E+46
55 5.8887666920408600E+47
56 5.4760298046874000E+48
57 5.0988300952228800E+49
58 4.7535580055898100E+50
59 4.4370245854481800E+51
60 4.1464063963520500E+52
61 3.8791984042551000E+53
62 3.6331735938394100E+54
63 3.4063482555900700E+55
64 3.1969520738730100E+56
65 3.0034022894009300E+57
66 2.8242813286357500E+58

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