[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-8-31 09:45

n值常数
\(C_{31}\) 0.9421288968438000
\(C_{32}\) 0.9258107097954760
\(C_{33}\) 0.8983614876133240
\(C_{34}\) 0.8443332548908120
\(C_{35}\) 0.7034026882774320
\(C_{36}\) 0.9195139241255640
\(C_{37}\) 0.8887196732519100
\(C_{38}\) 0.8290758375519050
\(C_{39}\) 0.6799166849994410
\(C_{40}\) 0.8539621147870720
\(C_{41}\) 0.7137003105404700
\(C_{42}\) 0.9373848986590960
\(C_{43}\) 0.9126902729532780
\(C_{44}\) 0.8620851002104090
\(C_{45}\) 0.7237580682496410
\(C_{46}\) 0.9584171920505810

独木星空谁 · 发表于 2021-8-31 11:34

10^n 二生L14差等于432的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 7 6 1 1.666666666667E-01
4 24 19 5 2.631578947368E-01
5 82 83 -1 -1.204819277108E-02
6 348 342 6 1.754385964912E-02
7 1736 1743 -7 -4.016064257028E-03
8 9638 9686 -48 -4.955606029321E-03
9 57932 58062 -130 -2.238985911612E-03
10 369552
11 2469523
12 17133504
13 122615350
14 900684690
15 6765074712
16 51800033898
17 4.0335197103100000E+11
18 3.1876128103770000E+12
19 2.5524213892818000E+13
20 2.0679431300347800E+14
21 1.6932080228975200E+15
22 1.3996773330443200E+16
23 1.1671115206822200E+17
24 9.8092184581418900E+17
25 8.3043636509172300E+18
26 7.0774246316074900E+19
27 6.0690050065253600E+20
28 5.2340090707128400E+21
29 4.5378375737216700E+22
30 3.9536853685761600E+23
31 3.4605973702036100E+24
32 3.0420535323474100E+25
33 2.6849275803437900E+26
34 2.3787129345107300E+27
35 2.1149417554199700E+28
36 1.8867450196262700E+29
37 1.6885165845986900E+30
38 1.5156546295103800E+31
39 1.3643611637573000E+32
40 1.2314854659845600E+33
41 1.1144010124835400E+34
42 1.0109081202062900E+35
43 9.1915647005235000E+35
44 8.3758309989948400E+36
45 7.6486250983494000E+37
46 6.9986630660672700E+38
47 6.4163040304015500E+39
48 5.8932823293228400E+40
49 5.4224878011911000E+41
50 4.9977847913661400E+42
51 4.6138624400263900E+43
52 4.2661103573536200E+44
53 3.9505149911822000E+45
54 3.6635729299208300E+46
55 3.4022181205934100E+47
56 3.1637605639221300E+48
57 2.9458345101769100E+49
58 2.7463545475096100E+50
59 2.5634782689783500E+51
60 2.3955744410930800E+52
61 2.2411957875953400E+53
62 2.0990556567521400E+54
63 1.9680079660625600E+55
64 1.8470299207303000E+56
65 1.7352070861021400E+57
66 1.6317204631192600E+58

独木星空谁 · 发表于 2021-8-31 11:34

10^n 二生L14差等于432的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 7 6 1 1.666666666667E-01
4 24 19 5 2.631578947368E-01
5 82 83 -1 -1.204819277108E-02
6 348 342 6 1.754385964912E-02
7 1736 1743 -7 -4.016064257028E-03
8 9638 9686 -48 -4.955606029321E-03
9 57932 58062 -130 -2.238985911612E-03
10 369552
11 2469523
12 17133504
13 122615350
14 900684690
15 6765074712
16 51800033898
17 4.0335197103100000E+11
18 3.1876128103770000E+12
19 2.5524213892818000E+13
20 2.0679431300347800E+14
21 1.6932080228975200E+15
22 1.3996773330443200E+16
23 1.1671115206822200E+17
24 9.8092184581418900E+17
25 8.3043636509172300E+18
26 7.0774246316074900E+19
27 6.0690050065253600E+20
28 5.2340090707128400E+21
29 4.5378375737216700E+22
30 3.9536853685761600E+23
31 3.4605973702036100E+24
32 3.0420535323474100E+25
33 2.6849275803437900E+26
34 2.3787129345107300E+27
35 2.1149417554199700E+28
36 1.8867450196262700E+29
37 1.6885165845986900E+30
38 1.5156546295103800E+31
39 1.3643611637573000E+32
40 1.2314854659845600E+33
41 1.1144010124835400E+34
42 1.0109081202062900E+35
43 9.1915647005235000E+35
44 8.3758309989948400E+36
45 7.6486250983494000E+37
46 6.9986630660672700E+38
47 6.4163040304015500E+39
48 5.8932823293228400E+40
49 5.4224878011911000E+41
50 4.9977847913661400E+42
51 4.6138624400263900E+43
52 4.2661103573536200E+44
53 3.9505149911822000E+45
54 3.6635729299208300E+46
55 3.4022181205934100E+47
56 3.1637605639221300E+48
57 2.9458345101769100E+49
58 2.7463545475096100E+50
59 2.5634782689783500E+51
60 2.3955744410930800E+52
61 2.2411957875953400E+53
62 2.0990556567521400E+54
63 1.9680079660625600E+55
64 1.8470299207303000E+56
65 1.7352070861021400E+57
66 1.6317204631192600E+58

独木星空谁 · 发表于 2021-8-31 11:36

10^n 二生L14差等于438的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 6 4 2 5.000000000000E-01
4 20 13 7 5.384615384615E-01
5 71 65 6 9.230769230769E-02
6 301 318 -17 -5.345911949686E-02
7 1502 1479 23 1.555104800541E-02
8 8339 8293 46 5.546846738213E-03
9 50127 50021 106 2.119109973811E-03
10 319761
11 2136797
12 14825055
13 106095014
14 779332726
15 5853595797
16 44820859133
17 3.4900714370100000E+11
18 2.7581361244620000E+12
19 2.2085259588967000E+13
20 1.7893229164205600E+14
21 1.4650770002493900E+15
22 1.2110945853566500E+16
23 1.0098630661763000E+17
24 8.4875928764219300E+17
25 7.1854916951348800E+18
26 6.1238618696258200E+19
27 5.2513096614336300E+20
28 4.5288152459115600E+21
29 3.9264410339552800E+22
30 3.4209934168697500E+23
31 2.9943406513823800E+24
32 2.6321884868834900E+25
33 2.3231791912759000E+26
34 2.0582217680398500E+27
35 1.8299892752872900E+28
36 1.6325381738147100E+29
37 1.4610176535791900E+30
38 1.3114459109502900E+31
39 1.1805366700505400E+32
40 1.0655637157139700E+33
41 9.6425440369123700E+33
42 8.7470542086441200E+34
43 7.9531574720492400E+35
44 7.2473300319023500E+36
45 6.6181027750777100E+37
46 6.0557120873095500E+38
47 5.5518160405726500E+39
48 5.0992626304072300E+40
49 4.6918996686910800E+41
50 4.3244181760352300E+42
51 3.9922228407763200E+43
52 3.6913244448185400E+44
53 3.4182501939820800E+45
54 3.1699687018835600E+46
55 2.9438270141097600E+47
56 2.7374975630970600E+48
57 2.5489333437102000E+49
58 2.3763299179277300E+50
59 2.2180931118506800E+51
60 2.0728114729959400E+52
61 1.9392327209995000E+53
62 1.8162435585961400E+54
63 1.7028523184362100E+55
64 1.5981740099504500E+56
65 1.5014174030238900E+57
66 1.4118738448105000E+58

独木星空谁 · 发表于 2021-8-31 11:36

10^n 二生L14差等于444的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 13 8 5 6.250000000000E-01
4 42 38 4 1.052631578947E-01
5 146 137 9 6.569343065693E-02
6 622 629 -7 -1.112877583466E-02
7 3097 3078 19 6.172839506173E-03
8 17198 17136 62 3.618113912232E-03
9 103378 103742 -364 -3.508704285632E-03
10 659451
11 4406759
12 30574008
13 218801861
14 1607233402
15 12071987197
16 92434950475
17 7.1976438353300000E+11
18 5.6881590625090000E+12
19 4.5546870716303000E+13
20 3.6901562879811600E+14
21 3.0214574771455800E+15
22 2.4976644844151600E+16
23 2.0826607145373100E+17
24 1.7504131834072400E+18
25 1.4818782634316900E+19
26 1.2629362300983500E+20
27 1.0829880503649100E+21
28 9.3398658807975000E+21
29 8.0975775461603600E+22
30 7.0551828585852100E+23
31 6.1752883627961000E+24
32 5.4284147410660700E+25
33 4.7911387162823200E+26
34 4.2447117452592800E+27
35 3.7740233298125800E+28
36 3.3668159906669800E+29
37 3.0130858056587600E+30
38 2.7046210218563600E+31
39 2.4346442870658600E+32
40 2.1975332734531800E+33
41 1.9886010615193000E+34
42 1.8039224107133500E+35
43 1.6401955055433300E+36
44 1.4946313067849400E+37
45 1.3648645163955700E+38
46 1.2488815647592400E+39
47 1.1449620794449500E+40
48 1.0516310883284900E+41
49 9.6761981340028100E+41
50 8.9183337326719400E+42
51 8.2332406765253400E+43
52 7.6126919216319200E+44
53 7.0495254553879600E+45
54 6.5374895892797300E+46
55 6.0711130825827100E+47
56 5.6455957463529000E+48
57 5.2567160011302600E+49
58 4.9007525184446300E+50
59 4.5744176017134500E+51
60 4.2748003843693300E+52
61 3.9993182636762100E+53
62 3.7456752645108000E+54
63 3.5118262515471700E+55
64 3.2959460911082300E+56
65 3.0964030135691300E+57
66 2.9117355500515100E+58

独木星空谁 · 发表于 2021-8-31 11:37

10^n 二生L14差等于450的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 19 12 7 5.833333333333E-01
4 61 46 15 3.260869565217E-01
5 211 191 20 1.047120418848E-01
6 897 865 32 3.699421965318E-02
7 4465 4449 16 3.596313778377E-03
8 24788 24669 119 4.823868012485E-03
9 149003 148932 71 4.767276340880E-04
10 950492
11 6351628
12 44067471
13 315367377
14 2316566141
15 17399810599
16 1.3322998150600000E+11
17 1.0374235612650000E+12
18 8.1985582597260000E+12
19 6.5648423156272000E+13
20 5.3187614801263300E+14
21 4.3549406553925500E+15
22 3.5999780533021000E+16
23 3.0018174625101300E+17
24 2.5229365608536700E+18
25 2.1358870494043500E+19
26 1.8203176365134400E+20
27 1.5609515359766200E+21
28 1.3461901068561300E+22
29 1.1671344022780200E+23
30 1.0168901232099300E+24
31 8.9006760986487400E+24
32 7.8241789695926200E+25
33 6.9056489919145700E+26
34 6.1180631829759900E+27
35 5.4396422116546900E+28
36 4.8527189106209300E+29
37 4.3428742494320700E+30
38 3.8982723187747400E+31
39 3.5091446652358300E+32
40 3.1673876155888100E+33
41 2.8662457359316000E+34
42 2.6000614289667100E+35
43 2.3640756634545900E+36
44 2.1542684919363600E+37
45 1.9672307211051800E+38
46 1.8000601171056100E+39
47 1.6502770422465700E+40
48 1.5157555635577000E+41
49 1.3946669434253300E+42
50 1.2854330879898200E+43
51 1.1866880410875400E+44
52 1.0972460078376900E+45
53 1.0160747003428500E+46
54 9.4227303915116700E+46
55 8.7505243369510200E+47
56 8.1372101463200100E+48
57 7.5767030978711000E+49
58 7.0636395004819100E+50
59 6.5932806730297500E+51
60 6.1614310737098200E+52
61 5.7643682997622000E+53
62 5.3987830756190900E+54
63 5.0617276705763500E+55
64 4.7505714506065100E+56
65 4.4629624845858700E+57
66 4.1967943022817300E+58

独舟星海 · 发表于 2021-8-31 12:49

10^n 二生L14差等于456的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 16 9 7 7.777777777778E-01
4 54 37 17 4.594594594595E-01
5 186 173 13 7.514450867052E-02
6 790 781 9 1.152368758003E-02
7 3934 3895 39 1.001283697048E-02
8 21842 21851 -9 -4.118804631367E-04
9 131292 131151 141 1.075096644326E-03
10 837512 正负九，一路走
11 5596647
12 38829430
13 277881515
14 2041209575
15 15331597652
16 1.1739371874400000E+11
17 9.1411113619700000E+11
18 7.2240439544650000E+12
19 5.7845181969604000E+13
20 4.6865516470738300E+14
21 3.8372945238661000E+15
22 3.1720698772022900E+16
23 2.6450091108066900E+17
24 2.2230499598283800E+18
25 1.8820067428765100E+19
26 1.6039472064081000E+20
27 1.3754104257670000E+21
28 1.1861764221115700E+22
29 1.0284040139402300E+23
30 8.9601838691766500E+23
31 7.8427051835387400E+24
32 6.8941649242886800E+25
33 6.0848151920514900E+26
34 5.3908450668851700E+27
35 4.7930639984098500E+28
36 4.2759048113615900E+29
37 3.8266623804733900E+30
38 3.4349076612215600E+31
39 3.0920333186835600E+32
40 2.7908989155133900E+33
41 2.5255519964263400E+34
42 2.2910074493747800E+35
43 2.0830719211170800E+36
44 1.8982032916587600E+37
45 1.7333975984105900E+38
46 1.5860975789523100E+39
47 1.4541183355124000E+40
48 1.3355866322443100E+41
49 1.2288911027975200E+42
50 1.1326412320296100E+43
51 1.0456334269363600E+44
52 9.6682284108645000E+44
53 8.9529988856141500E+45
54 8.3027059591367000E+46
55 7.7104010768919400E+47
56 7.1699879297682200E+48
57 6.6761050510341400E+49
58 6.2240262999221700E+50
59 5.8095762544090800E+51
60 5.4290580720195700E+52
61 5.0791918100732400E+53
62 4.7570615470870800E+54
63 4.4600699317344300E+55
64 4.1858990179520200E+56
65 3.9324764348086200E+57
66 3.6979460957744100E+58

独舟星海 · 发表于 2021-8-31 12:49

10^n 二生L14差等于462的数量实际数量理论-实际误差/实际
2 2 0 2 #DIV/0!
3 10 7 3 4.285714285714E-01
4 32 25 7 2.800000000000E-01
5 111 106 5 4.716981132075E-02
6 473 459 14 3.050108932462E-02
7 2355 2309 46 1.992204417497E-02
8 13076 13117 -41 -3.125714721354E-03
9 78602 78178 424 5.423520683568E-03
10 501404 跟上，咬死(14)，死咬(-41),
11 3350613 觉不松口。
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 9.6025464246131700E+19
27 8.2343373981126900E+20
28 7.1014271015911900E+21
29 6.1568717771169300E+22
30 5.3643025925722000E+23
31 4.6952879944306500E+24
32 4.1274138250893300E+25
33 3.6428705467005000E+26
34 3.2274029853256200E+27
35 2.8695221000411300E+28
36 2.5599081001098500E+29
37 2.2909546531837200E+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 9.4956838822418200E+38
47 8.7055476438707600E+39
48 7.9959194348667500E+40
49 7.3571522917100400E+41
50 6.7809214477524900E+42
51 6.2600212059156100E+43
52 5.7881962565960500E+44
53 5.3600010708049400E+45
54 4.9706822708376300E+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

独舟星海 · 发表于 2021-8-31 12:50

10^n 二生L14差等于468的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 7 5 2 4.000000000000E-01
4 24 16 8 5.000000000000E-01
5 82 71 11 1.549295774648E-01
6 351 325 26 8.000000000000E-02
7 1747 1766 -19 -1.075877689694E-02
8 9703 9600 103 1.072916666667E-02
9 58324 57986 338 5.828993205256E-03
10 372048 依旧(-19)，独树一帜
11 2486198 鲜明对比，和反衬。
12 17249198
13 123443307
14 906766540
15 6810755703
16 52149812277
17 4.0607559470300000E+11
18 3.2091370827970000E+12
19 2.5696565481871000E+13
20 2.0819068621218000E+14
21 1.7046413659406300E+15
22 1.4091286177547300E+16
23 1.1749924108062200E+17
24 9.8754549501146000E+17
25 8.3604386500264500E+18
26 7.1252147569675600E+19
27 6.1099858046503500E+20
28 5.2693515805444600E+21
29 4.5684792036647600E+22
30 3.9803825259792500E+23
31 3.4839649637494500E+24
32 3.0625949195369900E+25
33 2.7030574838505400E+26
34 2.3947751316026200E+27
35 2.1292228444999400E+28
36 1.8994852161954800E+29
37 1.6999182488269700E+30
38 1.5258890478923700E+31
39 1.3735739769550800E+32
40 1.2398010394963800E+33
41 1.1219259762747700E+34
42 1.0177342509398300E+35
43 9.2536305015963200E+35
44 8.4323885795092300E+36
45 7.7002722399734700E+37
46 7.0459213560088600E+38
47 6.4596299561333200E+39
48 5.9330765646500300E+40
49 5.4591030087377900E+41
50 5.0315322029083800E+42
51 4.6450174258977000E+43
52 4.2949171563504300E+44
53 3.9771907406945700E+45
54 3.6883111106433500E+46
55 3.4251915097778500E+47
56 3.1851237746702700E+48
57 2.9657261809271200E+49
58 2.7648992350111200E+50
59 2.5807880891755400E+51
60 2.4117504950686900E+52
61 2.2563294037369100E+53
62 2.1132294753649000E+54
63 1.9812968885595500E+55
64 1.8595019421293400E+56
65 1.7469240267248800E+57
66 1.6427386130175700E+58

独舟星海 · 发表于 2021-8-31 12:50

10^n 二生L14差等于468的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 7 5 2 4.000000000000E-01
4 24 16 8 5.000000000000E-01
5 82 71 11 1.549295774648E-01
6 351 325 26 8.000000000000E-02
7 1747 1766 -19 -1.075877689694E-02
8 9703 9600 103 1.072916666667E-02
9 58324 57986 338 5.828993205256E-03
10 372048 依旧(-19)，独树一帜
11 2486198 鲜明对比，和反衬。
12 17249198
13 123443307
14 906766540
15 6810755703
16 52149812277
17 4.0607559470300000E+11
18 3.2091370827970000E+12
19 2.5696565481871000E+13
20 2.0819068621218000E+14
21 1.7046413659406300E+15
22 1.4091286177547300E+16
23 1.1749924108062200E+17
24 9.8754549501146000E+17
25 8.3604386500264500E+18
26 7.1252147569675600E+19
27 6.1099858046503500E+20
28 5.2693515805444600E+21
29 4.5684792036647600E+22
30 3.9803825259792500E+23
31 3.4839649637494500E+24
32 3.0625949195369900E+25
33 2.7030574838505400E+26
34 2.3947751316026200E+27
35 2.1292228444999400E+28
36 1.8994852161954800E+29
37 1.6999182488269700E+30
38 1.5258890478923700E+31
39 1.3735739769550800E+32
40 1.2398010394963800E+33
41 1.1219259762747700E+34
42 1.0177342509398300E+35
43 9.2536305015963200E+35
44 8.4323885795092300E+36
45 7.7002722399734700E+37
46 7.0459213560088600E+38
47 6.4596299561333200E+39
48 5.9330765646500300E+40
49 5.4591030087377900E+41
50 5.0315322029083800E+42
51 4.6450174258977000E+43
52 4.2949171563504300E+44
53 3.9771907406945700E+45
54 3.6883111106433500E+46
55 3.4251915097778500E+47
56 3.1851237746702700E+48
57 2.9657261809271200E+49
58 2.7648992350111200E+50
59 2.5807880891755400E+51
60 2.4117504950686900E+52
61 2.2563294037369100E+53
62 2.1132294753649000E+54
63 1.9812968885595500E+55
64 1.8595019421293400E+56
65 1.7469240267248800E+57
66 1.6427386130175700E+58

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