[原创]k生素数群的数量公式

白新岭 · 发表于 2021-8-19 09:17

10^n 二生L22差等于12的数量实际数量理论-实际误差/实际
2 2 3 -1 -3.333333333333E-01
3 10 11 -1 -9.090909090909E-02
4 32 36 -4 -1.111111111111E-01
5 111 98 13 1.326530612245E-01
6 473 444 29 6.531531531532E-02
7 2355 2363 -8 -3.385526872620E-03
8 13076 13140 -64 -4.870624048706E-03
9 78602 78791 -189 -2.398751126398E-03
10 501404
11 3350613
12 23246488
13 166362717
14 1222035839
15 9178754614
16 70281529822
17 5.4726206620300000E+11
18 4.3249065286590000E+12
19 3.4630880809801000E+13
20 2.8057550511998300E+14
21 2.2973199281824000E+15
22 1.8990617731218500E+16
23 1.5835198738819200E+17
24 1.3309004409996200E+18
25 1.1267239375276900E+19
26 9.6025464246131600E+19
27 8.2343373981126800E+20
28 7.1014271015911900E+21
29 6.1568717771169300E+22
30 5.3643025925721900E+23
31 4.6952879944306400E+24
32 4.1274138250893300E+25
33 3.6428705467005000E+26
34 3.2274029853256100E+27
35 2.8695221000411300E+28
36 2.5599081001098500E+29
37 2.2909546531837100E+30
38 2.0564180759417900E+31
39 1.8511453101752000E+32
40 1.6708615031435900E+33
41 1.5120030258207900E+34
42 1.3715853803581200E+35
43 1.2470980808108700E+36
44 1.1364205229875300E+37
45 1.0377542879560100E+38
46 9.4956838822418100E+38
47 8.7055476438707500E+39
48 7.9959194348667400E+40
49 7.3571522917100300E+41
50 6.7809214477524800E+42
51 6.2600212059156100E+43
52 5.7881962565960500E+44
53 5.3600010708049300E+45
54 4.9706822708376200E+46
55 4.6160798807740900E+47
56 4.2925441488625700E+48
57 3.9968652604042600E+49
58 3.7262137590462200E+50
59 3.4780898939450200E+51
60 3.2502804313139300E+52
61 3.0408217278526700E+53
62 2.8479680732723200E+54
63 2.6701644795660600E+55
64 2.5060232336849100E+56
65 2.3543036440402200E+57
66 2.2138945046646400E+58
67 2.0837988778067800E+59
68 1.9631208593114800E+60
69 1.8510540438267300E+61
70 1.7468714506716900E+62
71 1.6499167077019200E+63
72 1.5595963210159600E+64
73 1.4753728839123200E+65
74 1.3967590999853600E+66

白新岭 · 发表于 2021-8-19 09:17

10^n 二生L22差等于18的数量实际数量理论-实际误差/实际
2 2 2 0 0.000000000000E+00
3 9 7 2 2.857142857143E-01
4 30 27 3 1.111111111111E-01
5 103 93 10 1.075268817204E-01
6 439 453 -14 -3.090507726269E-02
7 2187 2160 27 1.250000000000E-02
8 12142 12029 113 9.393964585585E-03
9 72988 72752 236 3.243897074995E-03
10 465589
11 3111283
12 21586025
13 154479666
14 1134747565
15 8523129285
16 65261420549
17 5.0817191861700000E+11
18 4.0159846337550000E+12
19 3.2157246466243000E+13
20 2.6053439761141300E+14
21 2.1332256475979500E+15
22 1.7634145036131500E+16
23 1.4704113114617800E+17
24 1.2358361237853600E+18
25 1.0462436562757200E+19
26 8.9166502514265100E+19
27 7.6461704411046300E+20
28 6.5941823086203900E+21
29 5.7170952216085700E+22
30 4.9811381216741800E+23
31 4.3599102805427400E+24
32 3.8325985518686600E+25
33 3.3826655076504600E+26
34 2.9968742006595000E+27
35 2.6645562357524700E+28
36 2.3770575215305700E+29
37 2.1273150350991600E+30
38 1.9095310705173800E+31
39 1.7189206451626900E+32
40 1.5515142529190400E+33
41 1.4040028096907300E+34
42 1.2736149960468300E+35
43 1.1580196464672300E+36
44 1.0552476284884200E+37
45 9.6362898167343700E+37
46 8.8174207477959700E+38
47 8.0837228121657000E+39
48 7.4247823323762600E+40
49 6.8316414137307400E+41
50 6.2965699157701600E+42
51 5.8128768340644900E+43
52 5.3747536668391900E+44
53 4.9771438514617200E+45
54 4.6156335372063600E+46
55 4.2863598892902300E+47
56 3.9859338525152400E+48
57 3.7113748846610900E+49
58 3.4600556334000600E+50
59 3.2296549015203800E+51
60 3.0181175433629400E+52
61 2.8236201758631900E+53
62 2.6445417823243000E+54
63 2.4794384453113400E+55
64 2.3270215741359900E+56
65 2.1861390980373500E+57
66 2.0557591829028800E+58

白新岭 · 发表于 2021-8-19 09:18

10^n 二生L22差等于24的数量实际数量理论-实际误差/实际
2 1 2 -1 -5.000000000000E-01
3 4 5 -1 -2.000000000000E-01
4 15 14 1 7.142857142857E-02
5 54 49 5 1.020408163265E-01
6 231 221 10 4.524886877828E-02
7 1151 1174 -23 -1.959114139693E-02
8 6390 6393 -3 -4.692632566870E-04
9 38414 38578 -164 -4.251127585671E-03
10 245047
11 1637517
12 11361066
13 81305087
14 597235560
15 4485857518
16 34348116078
17 2.6745890453500000E+11
18 2.1136761230290000E+12
19 1.6924866561181000E+13
20 1.3712336716390100E+14
21 1.1227503408410200E+15
22 9.2811289663849800E+15
23 7.7390069024304300E+16
24 6.5044006515019000E+17
25 5.5065455593458700E+18
26 4.6929738165402700E+19
27 4.0243002321603300E+20
28 3.4706222676949400E+21
29 3.0089974850571400E+22
30 2.6216516429864100E+23
31 2.2946896213382800E+24
32 2.0171571325624500E+25
33 1.7803502671844500E+26
34 1.5773022108734200E+27
35 1.4023980188170900E+28
36 1.2510829060687200E+29
37 1.1196394921574500E+30
38 1.0050163529038800E+31
39 9.0469507640141400E+31
40 8.1658644890476000E+32
41 7.3894884720564900E+33
42 6.7032368212990800E+34
43 6.0948402445643800E+35
44 5.5539348867811500E+36
45 5.0717314824917800E+37
46 4.6407477619978800E+38
47 4.2545909537714200E+39
48 3.9077801749348700E+40
49 3.5956007440688100E+41
50 3.3139841661948200E+42
51 3.0594088600339400E+43
52 2.8288177193890500E+44
53 2.6195493955061700E+45
54 2.4292808090559800E+46
55 2.2559788891001200E+47
56 2.0978599223764400E+48
57 1.9533552024532100E+49
58 1.8210819123158200E+50
59 1.6998183692212500E+51
60 1.5884829175594400E+52
61 1.4861158820332600E+53
62 1.3918640959601600E+54
63 1.3049676027954400E+55
64 1.2247481969136800E+56
65 1.1505995252828100E+57
66 1.0819785173173000E+58

白新岭 · 发表于 2021-8-19 09:18

10^n 二生L22差等于30的数量实际数量理论-实际误差/实际
2 3 3 0 0.000000000000E+00
3 15 15 0 0.000000000000E+00
4 50 48 2 4.166666666667E-02
5 172 167 5 2.994011976048E-02
6 732 714 18 2.521008403361E-02
7 3645 3599 46 1.278132814671E-02
8 20237 20100 137 6.815920398010E-03
9 121646 121135 511 4.218433978619E-03
10 775982
11 5185473
12 35976709
13 257466110
14 1891245942
15 14205215475
16 1.0876903424800000E+11
17 8.4695319769500000E+11
18 6.6933077229260000E+12
19 5.3595410777073000E+13
20 4.3422399601902100E+14
21 3.5553760793299100E+15
22 2.9390241726885800E+16
23 2.4506855191029700E+17
24 2.0597268729756000E+18
25 1.7437394271261900E+19
26 1.4861083752377500E+20
27 1.2743617401841100E+21
28 1.0990303847700700E+22
29 9.5284920360142900E+22
30 8.3018968694569700E+23
31 7.2665171342379000E+24
32 6.3876642531144300E+25
33 5.6377758460841000E+26
34 4.9947903344325000E+27
35 4.4409270595874600E+28
36 3.9617625358842900E+29
37 3.5455250584986000E+30
38 3.1825517841956300E+31
39 2.8648677419378100E+32
40 2.5858570881984100E+33
41 2.3400046828178900E+34
42 2.1226916600780400E+35
43 1.9300327441120500E+36
44 1.7587460474807000E+37
45 1.6060483027890600E+38
46 1.4695701246326600E+39
47 1.3472871353609500E+40
48 1.2374637220627100E+41
49 1.1386069022884600E+42
50 1.0494283192950300E+43
51 9.6881280567741600E+43
52 8.9579227780653100E+44
53 8.2952397524362100E+45
54 7.6927225620106100E+46
55 7.1439331488170400E+47
56 6.6432230875254000E+48
57 6.1856248077684900E+49
58 5.7667593890001100E+50
59 5.3827581692006300E+51
60 5.0301959056048900E+52
61 4.7060336264386500E+53
62 4.4075696372071600E+54
63 4.1323974088522400E+55
64 3.8783692902266500E+56
65 3.6435651633955800E+57
66 3.4262653048381300E+58

白新岭 · 发表于 2021-8-19 09:19

10^n 二生L22差等于30的数量实际数量理论-实际误差/实际
2 3 3 0 0.000000000000E+00
3 15 15 0 0.000000000000E+00
4 50 48 2 4.166666666667E-02
5 172 167 5 2.994011976048E-02
6 732 714 18 2.521008403361E-02
7 3645 3599 46 1.278132814671E-02
8 20237 20100 137 6.815920398010E-03
9 121646 121135 511 4.218433978619E-03
10 775982
11 5185473
12 35976709
13 257466110
14 1891245942
15 14205215475
16 1.0876903424800000E+11
17 8.4695319769500000E+11
18 6.6933077229260000E+12
19 5.3595410777073000E+13
20 4.3422399601902100E+14
21 3.5553760793299100E+15
22 2.9390241726885800E+16
23 2.4506855191029700E+17
24 2.0597268729756000E+18
25 1.7437394271261900E+19
26 1.4861083752377500E+20
27 1.2743617401841100E+21
28 1.0990303847700700E+22
29 9.5284920360142900E+22
30 8.3018968694569700E+23
31 7.2665171342379000E+24
32 6.3876642531144300E+25
33 5.6377758460841000E+26
34 4.9947903344325000E+27
35 4.4409270595874600E+28
36 3.9617625358842900E+29
37 3.5455250584986000E+30
38 3.1825517841956300E+31
39 2.8648677419378100E+32
40 2.5858570881984100E+33
41 2.3400046828178900E+34
42 2.1226916600780400E+35
43 1.9300327441120500E+36
44 1.7587460474807000E+37
45 1.6060483027890600E+38
46 1.4695701246326600E+39
47 1.3472871353609500E+40
48 1.2374637220627100E+41
49 1.1386069022884600E+42
50 1.0494283192950300E+43
51 9.6881280567741600E+43
52 8.9579227780653100E+44
53 8.2952397524362100E+45
54 7.6927225620106100E+46
55 7.1439331488170400E+47
56 6.6432230875254000E+48
57 6.1856248077684900E+49
58 5.7667593890001100E+50
59 5.3827581692006300E+51
60 5.0301959056048900E+52
61 4.7060336264386500E+53
62 4.4075696372071600E+54
63 4.1323974088522400E+55
64 3.8783692902266500E+56
65 3.6435651633955800E+57
66 3.4262653048381300E+58

白新岭 · 发表于 2021-8-19 09:19

10^n 二生L22差等于36的数量实际数量理论-实际误差/实际
2 1 1 0 0.000000000000E+00
3 6 5 1 2.000000000000E-01
4 20 19 1 5.263157894737E-02
5 71 68 3 4.411764705882E-02
6 304 300 4 1.333333333333E-02
7 1516 1584 -68 -4.292929292929E-02
8 8418 8327 91 1.092830551219E-02
9 50605 50278 327 6.503838657067E-03
10 322808
11 2157156
12 14966311
13 107105901
14 786758312
15 5909369637
16 45247918247
17 3.5233253024100000E+11
18 2.7844160127370000E+12
19 2.2295690883262000E+13
20 1.8063718234391300E+14
21 1.4790364490012400E+15
22 1.2226340558384500E+16
23 1.0194851759468400E+17
24 8.5684637915785100E+17
25 7.2539560168449600E+18
26 6.1822108409890500E+19
27 5.3013448391658800E+20
28 4.5719664006434700E+21
29 3.9638526869819400E+22
30 3.4535890976941000E+23
31 3.0228711278429700E+24
32 2.6572683292956000E+25
33 2.3453147519709900E+26
34 2.0778327791239200E+27
35 1.8474256567883800E+28
36 1.6480932149278600E+29
37 1.4749384243354200E+30
38 1.3239415422253800E+31
39 1.1917849806461300E+32
40 1.0757165486905400E+33
41 9.7344194805224100E+33
42 8.8303973059246600E+34
43 8.0289362155061400E+35
44 7.3163835575197000E+36
45 6.6811609396025000E+37
46 6.1134117184718700E+38
47 5.6047144831015500E+39
48 5.1478490837808700E+40
49 4.7366047135199800E+41
50 4.3656218082673100E+42
51 4.0302612716180500E+43
52 3.7264958756751700E+44
53 3.4508197370134600E+45
54 3.2001725857964100E+46
55 2.9718761899078900E+47
56 2.7635808044105700E+48
57 2.5732199200316900E+49
58 2.3989719058240400E+50
59 2.2392273983874600E+51
60 2.0925614967316400E+52
61 1.9577099885984800E+53
62 1.8335489690781800E+54
63 1.7190773220825300E+55
64 1.6134016247342800E+56
65 1.5157231079725600E+57
66 1.4253263668126600E+58

白新岭 · 发表于 2021-8-19 09:19

10^n 二生L22差等于42的数量实际数量理论-实际误差/实际
2 3 3 0 0.000000000000E+00
3 15 13 2 1.538461538462E-01
4 50 44 6 1.363636363636E-01
5 172 173 -1 -5.780346820809E-03
6 732 757 -25 -3.302509907530E-02
7 3645 3711 -66 -1.778496362167E-02
8 20237 20308 -71 -3.496159149104E-03
9 121646 121777 -131 -1.075736797589E-03
10 775982
11 5185473
12 35976709
13 257466110
14 1891245942
15 14205215475
16 1.0876903424800000E+11
17 8.4695319769500000E+11
18 6.6933077229260000E+12
19 5.3595410777073000E+13
20 4.3422399601902100E+14
21 3.5553760793299100E+15
22 2.9390241726885800E+16
23 2.4506855191029700E+17
24 2.0597268729756000E+18
25 1.7437394271261900E+19
26 1.4861083752377500E+20
27 1.2743617401841100E+21
28 1.0990303847700600E+22
29 9.5284920360142900E+22
30 8.3018968694569600E+23
31 7.2665171342379000E+24
32 6.3876642531144300E+25
33 5.6377758460841000E+26
34 4.9947903344325000E+27
35 4.4409270595874600E+28
36 3.9617625358842900E+29
37 3.5455250584986000E+30
38 3.1825517841956300E+31
39 2.8648677419378100E+32
40 2.5858570881984100E+33
41 2.3400046828178900E+34
42 2.1226916600780400E+35
43 1.9300327441120500E+36
44 1.7587460474807000E+37
45 1.6060483027890600E+38
46 1.4695701246326600E+39
47 1.3472871353609500E+40
48 1.2374637220627100E+41
49 1.1386069022884600E+42
50 1.0494283192950300E+43
51 9.6881280567741600E+43
52 8.9579227780653100E+44
53 8.2952397524362100E+45
54 7.6927225620106100E+46
55 7.1439331488170400E+47
56 6.6432230875254000E+48
57 6.1856248077684900E+49
58 5.7667593890001000E+50
59 5.3827581692006300E+51
60 5.0301959056048900E+52
61 4.7060336264386500E+53
62 4.4075696372071600E+54
63 4.1323974088522400E+55
64 3.8783692902266500E+56
65 3.6435651633955700E+57
66 3.4262653048381300E+58

白新岭 · 发表于 2021-8-19 09:20

10^n 二生L22差等于48的数量实际数量理论-实际误差/实际
2 3 3 0 0.000000000000E+00
3 13 12 1 8.333333333333E-02
4 44 41 3 7.317073170732E-02
5 153 144 9 6.250000000000E-02
6 651 663 -12 -1.809954751131E-02
7 3240 3212 28 8.717310087173E-03
8 17989 18071 -82 -4.537657019534E-03
9 108130 108299 -169 -1.560494556736E-03
10 689762
11 4609309
12 31979297
13 228858764
14 1681107504
15 12626858200
16 96683585998
17 7.5284728684000000E+11
18 5.9496068648230000E+12
19 4.7640365135176000E+13
20 3.8597688535024100E+14
21 3.1603342927377000E+15
22 2.6124659312787400E+16
23 2.1783871280915300E+17
24 1.8308683315338700E+18
25 1.5499906018899500E+19
26 1.3209852224335600E+20
27 1.1327659912747600E+21
28 9.7691589757339100E+21
29 8.4697706986793700E+22
30 7.3794638839617500E+23
31 6.4591263415448000E+24
32 5.6779237805461600E+25
33 5.0113563076303100E+26
34 4.4398136306066600E+27
35 3.9474907196332900E+28
36 3.5215666985638100E+29
37 3.1515778297765400E+30
38 2.8289349192850000E+31
39 2.5465491039447200E+32
40 2.2985396339541400E+33
41 2.0800041625047900E+34
42 1.8868370311804800E+35
43 1.7155846614329400E+36
44 1.5633298199828400E+37
45 1.4275984913680600E+38
46 1.3062845552290300E+39
47 1.1975885647652900E+40
48 1.0999677529446300E+41
49 1.0120950242564100E+42
50 9.3282517270669100E+42
51 8.6116693837992500E+43
52 7.9625980249469400E+44
53 7.3735464466099600E+45
54 6.8379756106761000E+46
55 6.3501627989484800E+47
56 5.9050871889114700E+48
57 5.4983331624608800E+49
58 5.1260083457778700E+50
59 4.7846739281783400E+51
60 4.4712852494265700E+52
61 4.1831410012788000E+53
62 3.9178396775174800E+54
63 3.6732421412019900E+55
64 3.4474393690903500E+56
65 3.2387245896849600E+57
66 3.0455691598561100E+58

白新岭 · 发表于 2021-8-19 09:20

10^n 二生L22差等于54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 16 13 3 2.307692307692E-01
5 55 51 4 7.843137254902E-02
6 234 246 -12 -4.878048780488E-02
7 1166 1198 -32 -2.671118530885E-02
8 6476 6478 -2 -3.087372645878E-04
9 38926 39245 -319 -8.128424003058E-03
10 248314
11 1659351
12 11512546
13 82389155
14 605198701
15 4545668952
16 34806090959
17 2.7102502326200000E+11
18 2.1418584713360000E+12
19 1.7150531448663000E+13
20 1.3895167872608700E+14
21 1.1377203453855700E+15
22 9.4048773526034500E+15
23 7.8421936611295000E+16
24 6.5911259935219300E+17
25 5.5799661668038200E+18
26 4.7555468007608000E+19
27 4.0779575685891400E+20
28 3.5168972312642100E+21
29 3.0491174515245700E+22
30 2.6566069982262300E+23
31 2.3252854829561300E+24
32 2.0440525609966200E+25
33 1.8040882707469100E+26
34 1.5983329070184000E+27
35 1.4210966590679900E+28
36 1.2677640114829700E+29
37 1.1345680187195500E+30
38 1.0184165709426000E+31
39 9.1675767742010000E+31
40 8.2747426822349000E+32
41 7.4880149850172400E+33
42 6.7926133122497400E+34
43 6.1761047811585700E+35
44 5.6279873519382300E+36
45 5.1393545689250000E+37
46 4.7026243988245200E+38
47 4.3113188331550400E+39
48 3.9598839106006700E+40
49 3.6435420873230600E+41
50 3.3581706217440900E+42
51 3.1002009781677300E+43
52 2.8665352889809000E+44
53 2.6544767207795900E+45
54 2.4616712198433900E+46
55 2.2860586076214500E+47
56 2.1258313880081300E+48
57 1.9793999384859200E+49
58 1.8453630044800300E+50
59 1.7224826141442000E+51
60 1.6096626897935700E+52
61 1.5059307604603700E+53
62 1.4104222839062900E+54
63 1.3223671708327200E+55
64 1.2410781728725300E+56
65 1.1659408522865800E+57
66 1.0964048975482000E+58

白新岭 · 发表于 2021-8-19 09:21

10^n 二生L22差等于60的数量实际数量理论-实际误差/实际
2 3 2 1 5.000000000000E-01
3 15 13 2 1.538461538462E-01
4 49 52 -3 -5.769230769231E-02
5 170 164 6 3.658536585366E-02
6 722 713 9 1.262272089762E-02
7 3594 3504 90 2.568493150685E-02
8 19953 19784 169 8.542256368783E-03
9 119937 120143 -206 -1.714623407107E-03
10 765076 这把数字
11 5112596 更滑头
12 35471090
13 253847667
14 1864666269
15 14005574608
16 1.0724038836200000E+11
17 8.3505007167300000E+11
18 6.5992396143870000E+12
19 5.2842177976962000E+13
20 4.2812138850740300E+14
21 3.5054086317285200E+15
22 2.8977189680994400E+16
23 2.4162434523480100E+17
24 2.0307793601662200E+18
25 1.7192328189611800E+19
26 1.4652225278019800E+20
27 1.2564517914031400E+21
28 1.0835845523354600E+22
29 9.3945780938865200E+22
30 8.1852215621024400E+23
31 7.1643931096486100E+24
32 6.2978916744220200E+25
33 5.5585422395985900E+26
34 4.9245932810837200E+27
35 4.3785140306419000E+28
36 3.9060837110556400E+29
37 3.4956960576764600E+30
38 3.1378240293907200E+31
39 2.8246047358349000E+32
40 2.5495153129048100E+33
41 2.3071181305188300E+34
42 2.0928592367472200E+35
43 1.9029079596002100E+36
44 1.7340285354620500E+37
45 1.5834768131282400E+38
46 1.4489167066648500E+39
47 1.3283522891342600E+40
48 1.2200723400229100E+41
49 1.1226048593373800E+42
50 1.0346795969698000E+43
51 9.5519705813816600E+43
52 8.8320276471303400E+44
53 8.1786580045641300E+45
54 7.5846086233012700E+46
55 7.0435319261850200E+47
56 6.5498588711601800E+48
57 6.0986917023620100E+49
58 5.6857130408303700E+50
59 5.3071085949307800E+51
60 4.9595012604450400E+52
61 4.6398947754724900E+53
62 4.3456254152788500E+54
63 4.0743204722954000E+55
64 3.8238624785802200E+56
65 3.5923583016397500E+57
66 3.3781123870404000E+58

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