[原创]k生素数群的数量公式

白新岭 · 发表于 2021-8-21 17:58

10^n 二生L6差等于44的数量实际数量理论-实际误差/实际
2 2 3 -1 -3.333333333333E-01
3 9 10 -1 -1.000000000000E-01
4 32 28 4 1.428571428571E-01
5 110 100 10 1.000000000000E-01
6 468 480 -12 -2.500000000000E-02
7 2333 2325 8 3.440860215054E-03
8 12952 12799 153 1.195405891085E-02
9 77853 77853 0 0.000000000000E+00
10 496628 真是无语
11 3318702 哪有这么
12 23025093 变化莫测
13 164778310
14 1210397403
15 9091337904
16 69612181919
17 5.4205004652400000E+11
18 4.2837169426720000E+12
19 3.4301062897326000E+13
20 2.7790335745217400E+14
21 2.2754406907711400E+15
22 1.8809754705206900E+16
23 1.5684387322259000E+17
24 1.3182251987043900E+18
25 1.1159932333607600E+19
26 9.5110936015216200E+19
27 8.1559151371782800E+20
28 7.0337944625284200E+21
29 6.0982349030491500E+22
30 5.3132139964524600E+23
31 4.6505709659122600E+24
32 4.0881051219932400E+25
33 3.6081765414938300E+26
34 3.1966658140368000E+27
35 2.8421933181359800E+28
36 2.5355280229659500E+29
37 2.2691360374391100E+30
38 2.0368331418852000E+31
39 1.8335153548402000E+32
40 1.6549485364469800E+33
41 1.4976029970034500E+34
42 1.3585226624499500E+35
43 1.2352209562317200E+36
44 1.1255974703876500E+37
45 1.0278709137850000E+38
46 9.4052487976490400E+38
47 8.6226376663100800E+39
48 7.9197678212013500E+40
49 7.2870841746461400E+41
50 6.7163412434881800E+42
51 6.2004019563354700E+43
52 5.7330705779618000E+44
53 5.3089534415591800E+45
54 4.9233424396867900E+46
55 4.5721172152429100E+47
56 4.2516627760162600E+48
57 3.9587998769718400E+49
58 3.6907260089600700E+50
59 3.4449652282884000E+51
60 3.2193253795871400E+52
61 3.0118615209207400E+53
62 2.8208445678125900E+54
63 2.6447343416654400E+55
64 2.4821563457450600E+56
65 2.3318817045731700E+57
66 2.1928097950964000E+58

白新岭 · 发表于 2021-8-21 17:59

10^n 二生L6差等于46的数量实际数量理论-实际误差/实际
2 2 3 -1 -3.333333333333E-01
3 8 8 0 0.000000000000E+00
4 28 24 4 1.666666666667E-01
5 99 83 16 1.927710843373E-01
6 419 402 17 4.228855721393E-02
7 2089 2091 -2 -9.564801530368E-04
8 11598 11607 -9 -7.753941586973E-04
9 69715 69593 122 1.753049875706E-03
10 444715
11 2971791
12 20618230
13 147553677
14 1083871943
15 8141000681
16 62335469920
17 4.8538838230400000E+11
18 3.8359307417930000E+12
19 3.0715498573995000E+13
20 2.4885351818634000E+14
21 2.0375839518966700E+15
22 1.6843530346402400E+16
23 1.4044864378484900E+17
24 1.1804282663836800E+18
25 9.9933604595536300E+18
26 8.5168784077953100E+19
27 7.3033596805872800E+20
28 6.2985367080389700E+21
29 5.4607732136222300E+22
30 4.7578122409753400E+23
31 4.1644367202065200E+24
32 3.6607666479837100E+25
33 3.2310060404458600E+26
34 2.8625114197332500E+27
35 2.5450927008162100E+28
36 2.2704837924950900E+29
37 2.0319383376190800E+30
38 1.8239185663811200E+31
39 1.6418540275433100E+32
40 1.4819531850493800E+33
41 1.3410553152991400E+34
42 1.2165133490505800E+35
43 1.1061006369765000E+36
44 1.0079363313047300E+37
45 9.2042534311887800E+37
46 8.4220977902924500E+38
47 7.7212946938814700E+39
48 7.0918973545114500E+40
49 6.5253494984952600E+41
50 6.0142675608720900E+42
51 5.5522605237653100E+43
52 5.1337803055579000E+44
53 4.7539970511038000E+45
54 4.4086948016201200E+46
55 4.0941839098483700E+47
56 3.8072272665350300E+48
57 3.5449779600076800E+49
58 3.3049264334620500E+50
59 3.0848555589570900E+51
60 2.8828023318671300E+52
61 2.6970251192455500E+53
62 2.5259755815573200E+54
63 2.3682745384065500E+55
64 2.2226911721766800E+56
65 2.0881250644021400E+57
66 1.9635906425388100E+58

白新岭 · 发表于 2021-8-21 17:59

10^n 二生L6差等于48的数量实际数量理论-实际误差/实际
2 2 3 -1 -3.333333333333E-01
3 9 8 1 1.250000000000E-01
4 31 27 4 1.481481481481E-01
5 107 97 10 1.030927835052E-01
6 455 437 18 4.118993135011E-02
7 2268 2166 102 4.709141274238E-02
8 12592 12330 262 2.124898621249E-02
9 75691 75219 472 6.275010303248E-03
10 482833
11 3226516
12 22385507
13 160201135
14 1176775253
15 8838800740
16 67678510199
17 5.2699310078800000E+11
18 4.1647248053760000E+12
19 3.3348255594623000E+13
20 2.7018381974516900E+14
21 2.2122340049163900E+15
22 1.8287261518951200E+16
23 1.5248709896640700E+17
24 1.2816078320737100E+18
25 1.0849934213229700E+19
26 9.2468965570349100E+19
27 7.9293619389233300E+20
28 6.8384112830137400E+21
29 5.9288394890755600E+22
30 5.1656247187732300E+23
31 4.5213884390813600E+24
32 3.9745466463823200E+25
33 3.5079494153412200E+26
34 3.1078695414246700E+27
35 2.7632435037433100E+28
36 2.4650966889946700E+29
37 2.2061044808435800E+30
38 1.9802544434995000E+31
39 1.7825843727613100E+32
40 1.6089777437679000E+33
41 1.4560029137533500E+34
42 1.3207859218263400E+35
43 1.2009092630030600E+36
44 1.0943308739879900E+37
45 9.9931894395764000E+37
46 9.1439918866032400E+38
47 8.3831199533570300E+39
48 7.6997742706124300E+40
49 7.0846651697948500E+41
50 6.5297762089468400E+42
51 6.0281685686594800E+43
52 5.5738186174628600E+44
53 5.1614825126269800E+45
54 4.7865829274732700E+46
55 4.4451139592639400E+47
56 4.1335610322380300E+48
57 3.8488332137226200E+49
58 3.5882058420445100E+50
59 3.3492717497248400E+51
60 3.1298996745986000E+52
61 2.9281987008951700E+53
62 2.7424877742622400E+54
63 2.5712694988414000E+55
64 2.4132075583632500E+56
65 2.2671072127794700E+57
66 2.1318984118992800E+58

白新岭 · 发表于 2021-8-21 17:59

10^n 二生L6差等于50的数量实际数量理论-实际误差/实际
2 4 5 -1 -2.000000000000E-01
3 16 15 1 6.666666666667E-02
4 53 54 -1 -1.851851851852E-02
5 184 194 -10 -5.154639175258E-02
6 781 804 -23 -2.860696517413E-02
7 3888 3886 2 5.146680391148E-04
8 21586 21588 -2 -9.264406151566E-05
9 129756 129812 -56 -4.313930915478E-04
10 827714 二位数内
11 5531171
12 38375156
13 274630517
14 2017329005
15 15152229840
16 1.1602030319800000E+11
17 9.0341674420800000E+11
18 7.1395282377870000E+12
19 5.7168438162211000E+13
20 4.6317226242029000E+14
21 3.7924011512852400E+15
22 3.1349591175344900E+16
23 2.6140645537098400E+17
24 2.1970419978406500E+18
25 1.8599887222679400E+19
26 1.5851822669202700E+20
27 1.3593191895297100E+21
28 1.1722990770880700E+22
29 1.0163724838415300E+23
30 8.8553566607541100E+23
31 7.7509516098537700E+24
32 6.8135085366554000E+25
33 6.0136275691563800E+26
34 5.3277763567280000E+27
35 4.7369888635599600E+28
36 4.2258800382765800E+29
37 3.7818933957318500E+30
38 3.3947219031420100E+31
39 3.0558589247336700E+32
40 2.7582475607449700E+33
41 2.4960049950057500E+34
42 2.2642044374165800E+35
43 2.0587015937195300E+36
44 1.8759957839794100E+37
45 1.7131181896416700E+38
46 1.5675414662748400E+39
47 1.4371062777183500E+40
48 1.3199613035335600E+41
49 1.2145140291076900E+42
50 1.1193902072480300E+43
51 1.0334003260559100E+44
52 9.5551176299363400E+44
53 8.8482557359319600E+45
54 8.2055707328113200E+46
55 7.6201953587381900E+47
56 7.0861046266937700E+48
57 6.5979997949530600E+49
58 6.1512100149334500E+50
59 5.7416087138140100E+51
60 5.3655422993118900E+52
61 5.0197692015345700E+53
62 4.7014076130209800E+54
63 4.4078905694423900E+55
64 4.1369272429084300E+56
65 3.8864695076219500E+57
66 3.6546829918273400E+58

白新岭 · 发表于 2021-8-21 18:00

10^n 二生L6差等于52的数量实际数量理论-实际误差/实际
2 1 1 0 0.000000000000E+00
3 4 4 0 0.000000000000E+00
4 15 19 -4 -2.105263157895E-01
5 53 61 -8 -1.311475409836E-01
6 228 218 10 4.587155963303E-02
7 1138 1160 -22 -1.896551724138E-02
8 6318 6280 38 6.050955414013E-03
9 37978 37930 48 1.265489058793E-03
10 242263 两位数以内
11 1618918
12 11232026
13 80381622
14 590452144
15 4434907037
16 33957989328
17 2.6442109969300000E+11
18 2.0896689374340000E+12
19 1.6732633508881000E+13
20 1.3556591657389200E+14
21 1.1099981147475200E+15
22 9.1757136744211200E+15
23 7.6511070709460400E+16
24 6.4305235082996700E+17
25 5.4440020789187400E+18
26 4.6396709040561100E+19
27 3.9785921307580200E+20
28 3.4312028542840900E+21
29 2.9748212173256300E+22
30 2.5918748588932300E+23
31 2.2686264799601200E+24
32 1.9942462120444600E+25
33 1.7601290048905100E+26
34 1.5593871734165900E+27
35 1.3864695474922600E+28
36 1.2368730755306600E+29
37 1.1069225991601100E+30
38 9.9360135235238300E+30
39 8.9441952738549800E+31
40 8.0731163985547200E+32
41 7.3055584795343700E+33
42 6.6271012919707500E+34
43 6.0256148985767400E+35
44 5.4908531572029000E+36
45 5.0141266310857000E+37
46 4.5880380343307500E+38
47 4.2062672046668600E+39
48 3.8633955112195700E+40
49 3.5547618220374200E+41
50 3.2763438522084200E+42
51 3.0246600186607200E+43
52 2.7966879378848800E+44
53 2.5897964887917800E+45
54 2.4016889776444800E+46
55 2.2303554251745400E+47
56 2.0740323775790800E+48
57 1.9311689458327500E+49
58 1.8003980189907600E+50
59 1.6805117902128100E+51
60 1.5704408893600000E+52
61 1.4692365411509100E+53
62 1.3760552691912300E+54
63 1.2901457485414700E+55
64 1.2108374766524400E+56
65 1.1375309874647900E+57
66 1.0696893786021000E+58

白新岭 · 发表于 2021-8-21 18:02

10^n 二生L6差等于54的数量实际数量理论-实际误差/实际
2 3 4 -1 -2.500000000000E-01
3 14 14 0 0.000000000000E+00
4 47 49 -2 -4.081632653061E-02
5 161 154 7 4.545454545455E-02
6 683 704 -21 -2.982954545455E-02
7 3402 3322 80 2.408187838651E-02
8 18888 18925 -37 -1.955085865258E-03
9 113536 113670 -134 -1.178851060086E-03
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 5.0022383391935000E+13
20 4.0527572961775400E+14
21 3.3183510073745900E+15
22 2.7430892278426800E+16
23 2.2873064844961100E+17
24 1.9224117481105600E+18
25 1.6274901319844500E+19
26 1.3870344835552400E+20
27 1.1894042908385000E+21
28 1.0257616924520600E+22
29 8.8932592336133500E+22
30 7.7484370781598400E+23
31 6.7820826586220500E+24
32 5.9618199695734800E+25
33 5.2619241230118300E+26
34 4.6618043121370000E+27
35 4.1448652556149600E+28
36 3.6976450334920000E+29
37 3.3091567212653700E+30
38 2.9703816652492600E+31
39 2.6738765591419600E+32
40 2.4134666156518500E+33
41 2.1840043706300300E+34
42 1.9811788827395100E+35
43 1.8013638945045800E+36
44 1.6414963109819900E+37
45 1.4989784159364600E+38
46 1.3715987829904900E+39
47 1.2574679930035500E+40
48 1.1549661405918600E+41
49 1.0626997754692300E+42
50 9.7946643134202600E+42
51 9.0422528529892200E+43
52 8.3607279261943000E+44
53 7.7422237689404700E+45
54 7.1798743912099100E+46
55 6.6676709388959100E+47
56 6.2003415483570500E+48
57 5.7732498205839300E+49
58 5.3823087630667700E+50
59 5.0239076245872600E+51
60 4.6948495118979100E+52
61 4.3922980513427500E+53
62 4.1137316613933500E+54
63 3.8569042482620900E+55
64 3.6198113375448700E+56
65 3.4006608191692100E+57
66 3.1978476178489200E+58
67 3.0099317123875700E+59
68 2.8356190190054700E+60
69 2.6737447299719500E+61
海纳百川有容乃大。
今天是主体工程全部封顶的大吉之日，杀牛宰羊，以示庆贺。

白新岭 · 发表于 2021-8-21 18:03

10^n 二生L6差等于56的数量实际数量理论-实际误差/实际
2 3 5 -2 -4.000000000000E-01
3 12 12 0 0.000000000000E+00
4 40 38 2 5.263157894737E-02
5 139 145 -6 -4.137931034483E-02
6 591 614 -23 -3.745928338762E-02
7 2940 2876 64 2.225312934631E-02
8 16323 16265 58 3.565939133108E-03
9 98118 97896 222 2.267712674675E-03
10 625895
11 4182521
12 29018251
13 207668138
14 1525449402
15 11457704663
16 87731402110
17 6.8313920472500000E+11
18 5.3987173403020000E+12
19 4.3229220215252000E+13
20 3.5023828485484900E+14
21 2.8677107471138400E+15
22 2.3705709376418200E+16
23 1.9766846162312000E+17
24 1.6613434860214800E+18
25 1.4064729535668100E+19
26 1.1986717759119300E+20
27 1.0278802513419100E+21
28 8.8646072187215200E+21
29 7.6855326710238800E+22
30 6.6961801910023300E+23
31 5.8610590876980700E+24
32 5.1521900971622600E+25
33 4.5473418347015800E+26
34 4.0287197759208600E+27
35 3.5819823196672500E+28
36 3.1954957079560500E+29
37 2.8597650677601900E+30
38 2.5669965008326900E+31
39 2.3107575202461400E+32
40 2.0857118900695000E+33
41 1.8874111844950900E+34
42 1.7121298986637700E+35
43 1.5567342298187800E+36
44 1.4185770588733200E+37
45 1.2954134458710100E+38
46 1.1853322815967200E+39
47 1.0867007346944300E+40
48 9.9811888693124000E+40
49 9.1838252201044400E+41
50 8.4645247153014600E+42
51 7.8142925890030300E+43
52 7.2253204300444500E+44
53 6.6908106645164500E+45
54 6.2048297207986900E+46
55 5.7621847620088100E+47
56 5.3583198566048600E+48
57 4.9892282400108000E+49
58 4.6513779433910400E+50
59 4.3416485644581200E+51
60 4.0572773559611500E+52
61 3.7958131307900300E+53
62 3.5550767444140100E+54
63 3.3331271281277400E+55
64 3.1282320201005100E+56
65 2.9388426832326500E+57
66 2.7635720154249900E+58

白新岭 · 发表于 2021-8-21 18:03

10^n 二生L6差等于58的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 4 3 1 3.333333333333E-01
4 14 15 -1 -6.666666666667E-02
5 48 47 1 2.127659574468E-02
6 205 197 8 4.060913705584E-02
7 1020 984 36 3.658536585366E-02
8 5666 5621 45 8.005692937200E-03
9 34061 33879 182 5.372059387821E-03
10 217275
11 1451932
12 10073478
13 72090510
14 529548863
15 3977460333
16 30455329589
17 2.3714689535400000E+11
18 1.8741261624190000E+12
19 1.5006715017580000E+13
20 1.2158271888532600E+14
21 9.9550530221237500E+14
22 8.2292676835280300E+15
23 6.8619194534883200E+16
24 5.7672352443316900E+17
25 4.8824703959533400E+18
26 4.1611034506657100E+19
27 3.5682128725155000E+20
28 3.0772850773561800E+21
29 2.6679777700840000E+22
30 2.3245311234479500E+23
31 2.0346247975866100E+24
32 1.7885459908720400E+25
33 1.5785772369035500E+26
34 1.3985412936411000E+27
35 1.2434595766844900E+28
36 1.1092935100476000E+29
37 9.9274701637961000E+29
38 8.9111449957477700E+30
39 8.0216296774258800E+31
40 7.2403998469555400E+32
41 6.5520131118900900E+33
42 5.9435366482185200E+34
43 5.4040916835137500E+35
44 4.9244889329459600E+36
45 4.4969352478093800E+37
46 4.1147963489714600E+38
47 3.7724039790106600E+39
48 3.4648984217755900E+40
49 3.1880993264076800E+41
50 2.9383992940260800E+42
51 2.7126758558967700E+43
52 2.5082183778582900E+44
53 2.3226671306821400E+45
54 2.1539623173629700E+46
55 2.0003012816687700E+47
56 1.8601024645071100E+48
57 1.7319749461751800E+49
58 1.6146926289200300E+50
59 1.5071722873761800E+51
60 1.4084548535693700E+52
61 1.3176894154028200E+53
62 1.2341194984180100E+54
63 1.1570712744786300E+55
64 1.0859434012634600E+56
65 1.0201982457507600E+57
66 9.5935428535467700E+57

白新岭 · 发表于 2021-8-21 18:03

10^n 二生L6差等于60的数量实际数量理论-实际误差/实际
2 6 6 0 0.000000000000E+00
3 24 24 0 0.000000000000E+00
4 80 82 -2 -2.439024390244E-02
5 276 266 10 3.759398496241E-02
6 1172 1149 23 2.001740644038E-02
7 5832 5682 150 2.639915522703E-02
8 32380 32112 268 8.345789735924E-03
9 194634 194049 585 3.014702472056E-03
10 1241571
11 8296757
12 57562734
13 411945776
14 3025993508
15 22728344760
16 1.7403045479800000E+11
17 1.3551251163120000E+12
18 1.0709292356681000E+13
19 8.5752657243317000E+13
20 6.9475839363043500E+14
21 5.6886017269278600E+15
22 4.7024386763017300E+16
23 3.9210968305647500E+17
24 3.2955629967609700E+18
25 2.7899830834019100E+19
26 2.3777734003804000E+20
27 2.0389787842945700E+21
28 1.7584486156321100E+22
29 1.5245587257622900E+23
30 1.3283034991131200E+24
31 1.1626427414780600E+25
32 1.0220262804983100E+26
33 9.0204413537345700E+26
34 7.9916645350920000E+27
35 7.1054832953399400E+28
36 6.3388200574148600E+29
37 5.6728400935977700E+30
38 5.0920828547130100E+31
39 4.5837883871005000E+32
40 4.1373713411174500E+33
41 3.7440074925086200E+34
42 3.3963066561248700E+35
43 3.0880523905792900E+36
44 2.8139936759691200E+37
45 2.5696772844625000E+38
46 2.3513121994122600E+39
47 2.1556594165775200E+40
48 1.9799419553003400E+41
49 1.8217710436615300E+42
50 1.6790853108720400E+43
51 1.5501004890838700E+44
52 1.4332676444904500E+45
53 1.3272383603897900E+46
54 1.2308356099217000E+47
55 1.1430293038107300E+48
56 1.0629156940040700E+49
57 9.8969996924295900E+49
58 9.2268150224001700E+50
59 8.6124130707210100E+51
60 8.0483134489678400E+52
61 7.5296538023018500E+53
62 7.0521114195314600E+54
63 6.6118358541635900E+55
64 6.2053908643626400E+56
65 5.8297042614329200E+57
66 5.4820244877410100E+58

白新岭 · 发表于 2021-8-21 18:04

10^n 二生L6差等于62的数量实际数量理论-实际误差/实际
2 1 3 -2 -6.666666666667E-01
3 5 5 0 0.000000000000E+00
4 18 18 0 0.000000000000E+00
5 62 57 5 8.771929824561E-02
6 263 254 9 3.543307086614E-02
7 1311 1308 3 2.293577981651E-03
8 7282 7323 -41 -5.598798306705E-03
9 43775 43569 206 4.728132387707E-03
10 279245
11 1866048
12 12946604
13 92651938
14 680585117
15 5111899003
16 39141702479
17 3.0478518364600000E+11
18 2.4086585056730000E+12
19 1.9286882865266000E+13
20 1.5626015785831700E+14
21 1.2794401794815600E+15
22 1.0576393414094300E+16
23 8.8190544416469100E+16
24 7.4121478607112000E+17
25 6.2750331774519100E+18
26 5.3479202309917000E+19
27 4.5859272752177700E+20
28 3.9549786052757500E+21
29 3.4289299609183500E+22
30 2.9875265467548900E+23
31 2.6149340545114400E+24
32 2.2986694279647000E+25
33 2.0288140493284000E+26
34 1.7974288231031500E+27
35 1.5981151887746200E+28
36 1.4256827004727000E+29
37 1.2758951840776200E+30
38 1.1452753619099700E+31
39 1.0309533551867400E+32
40 9.3054838172331400E+32
41 8.4207575923627000E+33
42 7.6387333940383700E+34
43 6.9454296407299300E+35
44 6.3290361088194300E+36
45 5.7795369123476000E+37
46 5.2884055640468800E+38
47 4.8483571240213000E+39
48 4.4531458032316900E+40
49 4.0973989443542900E+41
50 3.7764802575960400E+42
51 3.4863766935552000E+43
52 3.2236044995582900E+44
53 2.9851309118611900E+45
54 2.7683086446640300E+46
55 2.5708208938193200E+47
56 2.3906350129467800E+48
57 2.2259633686202000E+49
58 2.0752301593590800E+50
59 1.9370432056813200E+51
60 1.8101698972749800E+52
61 1.6935166275832400E+53
62 1.5861111628924000E+54
63 1.4870874879339100E+55
64 1.3956727474294600E+56
65 1.3111759663653300E+57
66 1.2329782838050000E+58

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