[原创]k生素数群的数量公式

独舟星海 · 发表于 2021-8-27 18:05

10^n 二生L10差等于426的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 12 7 5 7.142857142857E-01
4 40 31 9 2.903225806452E-01
5 139 123 16 1.300813008130E-01
6 592 588 4 6.802721088435E-03
7 2947 2907 40 1.375988992088E-02
8 16364 16375 -11 -6.717557251908E-04
9 98366 98039 327 3.335407337896E-03
10 627477
11 4193095
12 29091614
13 208193159
14 1529306005
15 11486671750
16 87953202487
17 6.8486630049100000E+11
18 5.4123662449390000E+12
19 4.3338511268492000E+13
20 3.5112374868801800E+14
21 2.8749608230203400E+15
22 2.3765641568871500E+16
23 1.9816820217489400E+17
24 1.6655436538356600E+18
25 1.4100287639580900E+19
26 1.2017022284675400E+20
27 1.0304789129581600E+21
28 8.8870185010594300E+21
29 7.7049630460374200E+22
30 6.7131093093652000E+23
31 5.8758768733903800E+24
32 5.1652157376759500E+25
33 4.5588383126875700E+26
34 4.0389050863503900E+27
35 3.5910381994276000E+28
36 3.2035744817532000E+29
37 2.8669950555952200E+30
38 2.5734863183644900E+31
39 2.3165995206780700E+32
40 2.0909849356642500E+33
41 1.8921828911144300E+34
42 1.7164584634395600E+35
43 1.5606699270796600E+36
44 1.4221634705664800E+37
45 1.2986884783415400E+38
46 1.1883290095702900E+39
47 1.0894481048126000E+40
48 1.0006423065966500E+41
49 9.2070435415564100E+41
50 8.4859245188765300E+42
51 7.8340484916800600E+43
52 7.2435873077689000E+44
53 6.7077262077742800E+45
54 6.2205166189657900E+46
55 5.7767525760583600E+47
56 5.3718666293157300E+48
57 5.0018418843580700E+49
58 4.6631374429128500E+50
59 4.3526250137682000E+51
60 4.0675348649634300E+52
61 3.8054096123573600E+53
62 3.5640646021595600E+54
63 3.3415538583024100E+55
64 3.1361407394933900E+56
65 2.9462725931537000E+57
66 2.7705588103467200E+58

独舟星海 · 发表于 2021-8-27 18:05

10^n 二生L10差等于432的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 13 6 7 1.166666666667E+00
4 42 36 6 1.666666666667E-01
5 145 122 23 1.885245901639E-01
6 616 587 29 4.940374787053E-02
7 3068 3010 58 1.926910299003E-02
8 17033 16902 131 7.750562063661E-03
9 102384 102534 -150 -1.462929369770E-03
10 653108
11 4364370
12 30279914
13 216697187
14 1591773289
15 11955865735
16 91545810897
17 7.1284090927800000E+11
18 5.6334441811850000E+12
19 4.5108751528959000E+13
20 3.6546603637027700E+14
21 2.9923938230753100E+15
22 2.4736392392784200E+16
23 2.0626274256325600E+17
24 1.7335758115006700E+18
25 1.4676239515479700E+19
26 1.2507879400820200E+20
27 1.0725706970524300E+21
28 9.2500249238833200E+21
29 8.0196862654162200E+22
30 6.9873184601763400E+23
31 6.1158877436849300E+24
32 5.3761983622562700E+25
33 4.7450523492538200E+26
34 4.2038815053087300E+27
35 3.7377206813919100E+28
36 3.3344303039541400E+29
37 2.9841026794019400E+30
38 2.6786050443471600E+31
39 2.4112252385177100E+32
40 2.1763950157246900E+33
41 1.9694725403427000E+34
42 1.7865703290404600E+35
43 1.6244183267674200E+36
44 1.4802543223026000E+37
45 1.3517357696045400E+38
46 1.2368684677530900E+39
47 1.1339485927246200E+40
48 1.0415153602760800E+41
49 9.5831219688046300E+41
50 8.8325475290102200E+42
51 8.1540444406988100E+43
52 7.5394647965681200E+44
53 6.9817154760171700E+45
54 6.4746049260508000E+46
55 6.0127145342700600E+47
56 5.5912902851528900E+48
57 5.2061512069677900E+49
58 4.8536117670167300E+50
59 4.5304158933476000E+51
60 4.2336807192638100E+52
61 3.9608484843026400E+53
62 3.7096452985189700E+54
63 3.4780456989159000E+55
64 3.2642421079309600E+56
65 3.0666184520688500E+57
66 2.8837273204434700E+58

独舟星海 · 发表于 2021-8-27 18:05

10^n 二生L10差等于438的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 15 9 6 6.666666666667E-01
4 48 42 6 1.428571428571E-01
5 167 157 10 6.369426751592E-02
6 710 667 43 6.446776611694E-02
7 3534 3464 70 2.020785219400E-02
8 19624 19637 -13 -6.620155828283E-04
9 117962 117966 -4 -3.390807520811E-05
10 752478 两位数以内精度及相对误差都小
11 5028408
12 34886996
13 249667619
14 1833961264
15 13774948219
16 1.0547448698000000E+11
17 8.2129950532200000E+11
18 6.4905715413460000E+12
19 5.1972038689467000E+13
20 4.2107161777085800E+14
21 3.4476859207054900E+15
22 2.8500029349078800E+16
23 2.3764557593245000E+17
24 1.9973390105597800E+18
25 1.6909226304450700E+19
26 1.4410950649460900E+20
27 1.2357621054666500E+21
28 1.0657414291636400E+22
29 9.2398798622486100E+22
30 8.0504375102198100E+23
31 7.0464187915105000E+24
32 6.1941858245856900E+25
33 5.4670110770113000E+26
34 4.8435012017475100E+27
35 4.3064141054539000E+28
36 3.8417631809912600E+29
37 3.4381332812471400E+30
38 3.0861542445758400E+31
39 2.7780926569163100E+32
40 2.5075330645804400E+33
41 2.2691273776181400E+34
42 2.0583966329180400E+35
43 1.8715732372339700E+36
44 1.7054747094823400E+37
45 1.5574020857288300E+38
46 1.4250577477981900E+39
47 1.3064786351960400E+40
48 1.1999817056606600E+41
49 1.1041191982643500E+42
50 1.0176417797987200E+43
51 9.3946806059479800E+43
52 8.6865927968226600E+44
53 8.0439820331864800E+45
54 7.4597147185442400E+46
55 6.9275477997477700E+47
56 6.4420039388023600E+48
57 5.9982660299974200E+49
58 5.5920877876016600E+50
59 5.2197177289928600E+51
60 4.8778343599063000E+52
61 4.5634907571570000E+53
62 4.2740670589177600E+54
63 4.0072296284180800E+55
64 3.7608958655454200E+56
65 3.5332038115583800E+57
66 3.3224858323056700E+58

独舟星海 · 发表于 2021-8-27 18:06

10^n 二生L10差等于444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 46 6 1.304347826087E-01
5 178 155 23 1.483870967742E-01
6 755 745 10 1.342281879195E-02
7 3758 3737 21 5.619480867006E-03
8 20868 20815 53 2.546240691809E-03
9 125437 125079 358 2.862191095228E-03
10 800166
11 5347080
12 37097935
13 265490127
14 1950187250
15 14647925733
16 1.1215885732400000E+11
17 8.7334877538400000E+11
18 6.9019068810390000E+12
19 5.5265729553620000E+13
20 4.4775673106596200E+14
21 3.6661805556253500E+15
22 3.0306198371156700E+16
23 2.5270619472079300E+17
24 2.1239189450319400E+18
25 1.7980836454894000E+19
26 1.5324234363064900E+20
27 1.3140776470477900E+21
28 1.1332820317126200E+22
29 9.8254506548434000E+22
30 8.5606282425533200E+23
31 7.4929805540241000E+24
32 6.5867379309828200E+25
33 5.8134790027004300E+26
34 5.1504546340349900E+27
35 4.5793300262847500E+28
36 4.0852321810640700E+29
37 3.6560225244582000E+30
38 3.2817370675137800E+31
39 2.9541522965723100E+32
40 2.6664461831463300E+33
41 2.4129317059015900E+34
42 2.1888460506357900E+35
43 1.9901828555693800E+36
44 1.8135579521511300E+37
45 1.6561013315334300E+38
46 1.5153697656287400E+39
47 1.3892757863847200E+40
48 1.2760296899373700E+41
49 1.1740919645433100E+42
50 1.0821341013936100E+43
51 9.9900617852072900E+43
52 9.2370994164775300E+44
53 8.5537636542697000E+45
54 7.9324688155012900E+46
55 7.3665761979859900E+47
56 6.8502613413423600E+48
57 6.3784018592229400E+49
58 5.9464823605684000E+50
59 5.5505136152224500E+51
60 5.1869636315915900E+52
61 4.8526987273369400E+53
62 4.5449330087575700E+54
63 4.2611849465179700E+55
64 3.9992399572096100E+56
65 3.7571180817845800E+57
66 3.5330460009672900E+58

独舟星海 · 发表于 2021-8-27 18:06

10^n 二生L10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 17 11 6 5.454545454545E-01
4 56 50 6 1.200000000000E-01
5 194 179 15 8.379888268156E-02
6 822 822 0 0.000000000000E+00
7 4092 4030 62 1.538461538462E-02
8 22723 22551 172 7.627156223671E-03
9 136585 136835 -250 -1.827017941316E-03
10 871278
11 5822285
12 40394901
13 289084755
14 2123504216
15 15949715621
16 1.2212663494600000E+11
17 9.5096499390300000E+11
18 7.5152928818810000E+12
19 6.0177303328643000E+13
20 4.8754974991609400E+14
21 3.9920012118792000E+15
22 3.2999569658257700E+16
23 2.7516468986419300E+17
24 2.3126757872006800E+18
25 1.9578828655452000E+19
26 1.6686129125476500E+20
27 1.4308623047681200E+21
28 1.2339990285137600E+22
29 1.0698657724647600E+23
30 9.3214280639516800E+23
31 8.1588964314250100E+24
32 7.1721142491109500E+25
33 6.3301342833225000E+26
34 5.6081856386610500E+27
35 4.9863040669052200E+28
36 4.4482947771332300E+29
37 3.9809404165598400E+30
38 3.5733914769915900E+31
39 3.2166936049828100E+32
40 2.9034184849947000E+33
41 2.6273736789534200E+34
42 2.3833730920174500E+35
43 2.1670543091784500E+36
44 1.9747324041888500E+37
45 1.8032823048859600E+38
46 1.6500436487103600E+39
47 1.5127434502298400E+40
48 1.3894329510879600E+41
49 1.2784358201133600E+42
50 1.1783054813137100E+43
51 1.0877898169009600E+44
52 1.0058018557827700E+45
53 9.3139534062441600E+45
54 8.6374428766434900E+46
55 8.0212582723559800E+47
56 7.4590575017829100E+48
57 6.9452629420558500E+49
58 6.4749579104562600E+50
59 6.0437986461200000E+51
60 5.6479392624335700E+52
61 5.2839675805627000E+53
62 4.9488501189694500E+54
63 4.6398848099393600E+55
64 4.3546602556930800E+56
65 4.0910205343388900E+57
66 3.8470347282393000E+58

独舟星海 · 发表于 2021-8-27 18:06

10^n 二生L10差等于456的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 12 4 8 2.000000000000E+00
4 40 24 16 6.666666666667E-01
5 138 127 11 8.661417322835E-02
6 586 568 18 3.169014084507E-02
7 2917 2866 51 1.779483600837E-02
8 16199 16098 101 6.274071313207E-03
9 97370 97141 229 2.357398009080E-03
10 621124
11 4150639
12 28797053
13 206085147
14 1513821368
15 11370366089
16 87062652499
17 6.7793184377800000E+11
18 5.3575645713710000E+12
19 4.2899697108474000E+13
20 3.4756852566966900E+14
21 2.8458510663233200E+15
22 2.3525008013701300E+16
23 1.9616169547601700E+17
24 1.6486795734130000E+18
25 1.3957518409732800E+19
26 1.1895346680566800E+20
27 1.0200450349736600E+21
28 8.7970350326739500E+21
29 7.6269482091625200E+22
30 6.6451372601075600E+23
31 5.8163820292184400E+24
32 5.1129165299067800E+25
33 4.5126788405164100E+26
34 3.9980100788620800E+27
35 3.5546779654244000E+28
36 3.1711374227929800E+29
37 2.8379659544500300E+30
38 2.5474290726480100E+31
39 2.2931433233374300E+32
40 2.0698131470795400E+33
41 1.8730240270542500E+34
42 1.6990788567850300E+35
43 1.5448677215338100E+36
44 1.4077636803919200E+37
45 1.2855389058927400E+38
46 1.1762968566214200E+39
47 1.0784171477953100E+40
48 9.9051053232948500E+40
49 9.1138197329926500E+41
50 8.4000022356524300E+42
51 7.7547266297195700E+43
52 7.1702440251563500E+44
53 6.6398086638776700E+45
54 6.1575322040624900E+46
55 5.7182613922337100E+47
56 5.3174750253202600E+48
57 4.9511968810854100E+49
58 4.6159219138103200E+50
59 4.3085535070785800E+51
60 4.0263499732154600E+52
61 3.7668788097595500E+53
62 3.5279774831315000E+54
63 3.3077197207982400E+55
64 3.1043864654305000E+56
65 2.9164407854772100E+57
66 2.7425061522937100E+58

独舟星海 · 发表于 2021-8-27 18:07

10^n 二生L10差等于462的数量实际数量理论-实际误差/实际
2 6 0 6 #DIV/0!
3 24 12 12 1.000000000000E+00
4 77 59 18 3.050847457627E-01
5 266 243 23 9.465020576132E-02
6 1129 1112 17 1.528776978417E-02
7 5618 5524 94 1.701665459812E-02
8 31192 31028 164 5.285548536805E-03
9 187492 187298 194 1.035782549734E-03
10 1196009
11 7992289
12 55450340
13 396828500
14 2914947874
15 21894277062
16 1.6764401608900000E+11
17 1.3053957542450000E+12
18 1.0316290802308000E+13
19 8.2605770738975000E+13
20 6.6926267276326200E+14
21 5.4798457002516000E+15
22 4.5298721193732200E+16
23 3.7772033688926500E+17
24 3.1746249051367100E+18
25 2.6875983830935800E+19
26 2.2905156609169000E+20
27 1.9641538747791700E+21
28 1.6939183912052400E+22
29 1.4686116165600000E+23
30 1.2795584165768500E+24
31 1.1199769527999700E+25
32 9.8452072892039000E+25
33 8.6894159829553100E+26
34 7.6983924420610900E+27
35 6.8447316147770000E+28
36 6.1062028076014700E+29
37 5.4646624754840900E+30
38 4.9052174288519800E+31
39 4.4155759692252500E+32
40 3.9855412001590100E+33
41 3.6066127221413300E+34
42 3.2716715494780800E+35
43 2.9747293670717900E+36
44 2.7107278529977700E+37
45 2.4753772006290100E+38
46 2.2650255131952900E+39
47 2.0765526489966900E+40
48 1.9072835349223400E+41
49 1.7549170604079000E+42
50 1.6174675012987600E+43
51 1.4932160674661100E+44
52 1.3806706667109800E+45
53 1.2785323655131000E+46
54 1.1856673306585200E+47
55 1.1010832743130900E+48
56 1.0239096134901500E+49
57 9.5338070431661100E+49
58 8.8882163059818100E+50
59 8.2963612149147300E+51
60 7.7529624967121300E+52
61 7.2533362315751700E+53
62 6.7933183399156300E+54
63 6.3691996760291400E+55
64 5.9776700986979500E+56
65 5.6157701600959300E+57
66 5.2808492771817000E+58

独舟星海 · 发表于 2021-8-27 18:07

10^n 二生L10差等于468的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 13 9 4 4.444444444444E-01
4 43 34 9 2.647058823529E-01
5 149 155 -6 -3.870967741935E-02
6 632 632 0 0.000000000000E+00
7 3145 3085 60 1.944894651540E-02
8 17465 17334 131 7.557401638399E-03
9 104982 105303 -321 -3.048346200963E-03
10 669684
11 4475140
12 31048434
13 222197080
14 1632173366
15 12259312148
16 93869293663
17 7.3093320156000000E+11
18 5.7764240766310000E+12
19 4.6253636322324000E+13
20 3.7474176432437700E+14
21 3.0683424154809100E+15
22 2.5364215565301600E+16
23 2.1149780381842800E+17
24 1.7775749140574900E+18
25 1.5048730503936100E+19
26 1.2825336223229700E+20
27 1.0997931281604200E+21
28 9.4847956172553900E+21
29 8.2232302905027800E+22
30 7.1646604255446200E+23
31 6.2711123206980600E+24
32 5.5126492180754600E+25
33 4.8654843739551600E+26
34 4.3105783179094200E+27
35 3.8325860772392000E+28
36 3.4190599693768700E+29
37 3.0598408380449300E+30
38 2.7465895058708900E+31
39 2.4724234542826700E+32
40 2.2316331119566200E+33
41 2.0194588309395700E+34
42 1.8319144614464000E+35
43 1.6656469526402900E+36
44 1.5178239868682200E+37
45 1.3860435629885800E+38
46 1.2682608661708200E+39
47 1.1627288284053800E+40
48 1.0679495899459200E+41
49 9.8263468474183400E+41
50 9.0567224176933200E+42
51 8.3609985497830800E+43
52 7.7308205380401700E+44
53 7.1589152345820200E+45
54 6.6389339414110100E+46
55 6.1653205187808900E+47
56 5.7332002916546700E+48
57 5.3382861729508400E+49
58 4.9767990891351000E+50
59 4.6454003273677600E+51
60 4.3411338522182100E+52
61 4.0613769858638000E+53
62 3.8037981257885500E+54
63 3.5663204016365300E+55
64 3.3470903585377900E+56
65 3.1444509061675300E+57
66 2.9569178975594800E+58

独舟星海 · 发表于 2021-8-27 18:08

10^n 二生L10差等于474的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 13 7 6 8.571428571429E-01
4 43 35 8 2.285714285714E-01
5 147 143 4 2.797202797203E-02
6 625 578 47 8.131487889273E-02
7 3113 3125 -12 -3.840000000000E-03
8 17286 17301 -15 -8.670019074042E-04
9 103908 103641 267 2.576200538397E-03
10 662833
11 4429362
12 30730825
13 219924118
14 1615477067
15 12133905655
16 92909058801
17 7.2345612876100000E+11
18 5.7173342128200000E+12
19 4.5780485280298000E+13
20 3.7090834774616800E+14
21 3.0369548419492200E+15
22 2.5104752613216100E+16
23 2.0933428946108400E+17
24 1.7593912318707900E+18
25 1.4894789687921700E+19
26 1.2694139593497500E+20
27 1.0885428069753900E+21
28 9.3877710093212600E+21
29 8.1391108506029300E+22
30 7.0913696139318800E+23
31 6.2069620491708900E+24
32 5.4562576361536400E+25
33 4.8157129573804200E+26
34 4.2664833064677800E+27
35 3.7933806819388100E+28
36 3.3840847346518800E+29
37 3.0285402313020600E+30
38 2.7184933000361200E+31
39 2.4471318269267200E+32
40 2.2088046466445700E+33
41 1.9988008000006000E+34
42 1.8131749134832000E+35
43 1.6486082362505900E+36
44 1.5022974238107100E+37
45 1.3718650462650500E+38
46 1.2552872061928900E+39
47 1.1508347071968500E+40
48 1.0570250118696700E+41
49 9.7258283450943700E+41
50 8.9640767796422100E+42
51 8.2754698110557300E+43
52 7.6517381980530100E+44
53 7.0856831933343100E+45
54 6.5710210428353000E+46
55 6.1022524432775300E+47
56 5.6745525850563700E+48
57 5.2836782357984100E+49
58 4.9258889799587000E+50
59 4.5978802580222500E+51
60 4.2967262732889600E+52
61 4.0198311765888800E+53
62 3.7648872165071900E+54
63 3.5298387680094600E+55
64 3.3128513361210600E+56
65 3.1122847817036500E+57
66 2.9266701398553300E+58

独舟星海 · 发表于 2021-8-27 18:08

10^n 二生L10差等于480的数量实际数量理论-实际误差/实际
2 5 0 5 #DIV/0!
3 19 15 4 2.666666666667E-01
4 64 56 8 1.428571428571E-01
5 220 200 20 1.000000000000E-01
6 933 880 53 6.022727272727E-02
7 4641 4577 64 1.398295826961E-02
8 25770 25774 -4 -1.551951579111E-04
9 154903 154611 292 1.888610771549E-03
10 988124
11 6603103
12 45812202
13 327853486
14 2408284238
15 18088708491
16 1.3850485808200000E+11
17 1.0784975085890000E+12
18 8.5231577412350000E+12
19 6.8247592844810000E+13
20 5.5293432878081100E+14
21 4.5273626147126100E+15
22 3.7425093341109300E+16
23 3.1206662114055400E+17
24 2.6228253307555000E+18
25 2.2204516529400200E+19
26 1.8923881326024900E+20
27 1.6227531409889600E+21
28 1.3994888207097900E+22
29 1.2133438954387200E+23
30 1.0571511052373100E+24
31 9.2530740148641800E+24
32 8.1339559274800900E+25
33 7.1790592686052800E+26
34 6.3602911545435000E+27
35 5.6550099611490900E+28
36 5.0448490379425700E+29
37 4.5148184724240600E+30
38 4.0526137448361900E+31
39 3.6480796465812800E+32
40 3.2927916616645300E+33
41 2.9797268932626700E+34
42 2.7030037469934400E+35
43 2.4576747707969500E+36
44 2.2395608583940200E+37
45 2.0451178387970300E+38
46 1.8713285721420600E+39
47 1.7156152462684100E+40
48 1.5757677577067300E+41
49 1.4498849649812700E+42
50 1.3363262939240000E+43
51 1.2336717070745000E+44
52 1.1406884612482100E+45
53 1.0563033979329600E+46
54 9.7957976190150600E+46
55 9.0969774050052700E+47
56 8.4593807171382900E+48
57 7.8766819257579100E+49
58 7.3433049790678300E+50
59 6.8543235808322200E+51
60 6.4053760782483000E+52
61 5.9925926902040500E+53
62 5.6125331194203900E+54
63 5.2621329278614600E+55
64 4.9386573287433900E+56
65 4.6396612726649600E+57
66 4.3629548894682900E+58

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