[原创]k生素数群的数量公式

独舟星海 · 发表于 2021-8-30 18:55

10^n 二生L14差等于342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 23 17 6 3.529411764706E-01
5 79 74 5 6.756756756757E-02
6 335 324 11 3.395061728395E-02
7 1669 1651 18 1.090248334343E-02
8 9268 9205 63 6.844106463878E-03
9 55711 55893 -182 -3.256221709337E-03
10 355382 182度大转折
11 2374832
12 16476540
13 117913808
14 866148992
15 6505675860
16 49813822371
17 3.8788591292200000E+11
18 3.0653875369300000E+12
19 2.4545517856583000E+13
20 1.9886502768630900E+14
21 1.6282839477627800E+15
22 1.3460083478363200E+16
23 1.1223599986986900E+17
24 9.4330954847227100E+17
25 7.9859425695573200E+18
26 6.8060490874752400E+19
27 5.8362961298201400E+20
28 5.0333171335335400E+21
29 4.3638395158330900E+22
30 3.8020859416556100E+23
31 3.3279048240806100E+24
32 2.9254095586435600E+25
33 2.5819771822826800E+26
34 2.2875039777873500E+27
35 2.0338467950975500E+28
36 1.8143999954131900E+29
37 1.6237723971614400E+30
38 1.4575386309361200E+31
39 1.3120463356270200E+32
40 1.1842656005931300E+33
41 1.0716706130959400E+34
42 9.7214603435326000E+34
43 8.8391249357972700E+35
44 8.0546695860197100E+36
45 7.3553475424629900E+37
46 6.7303075417611200E+38
47 6.1702783800835100E+39
48 5.6673113325138300E+40
49 5.2145688682183700E+41
50 4.8061505970356500E+42
51 4.4369492978331500E+43
52 4.1025313607812300E+44
53 3.7990371286632800E+45
54 3.5230975240951900E+46
55 3.2717640583050800E+47
56 3.0424498768815100E+48
57 2.8328799419922300E+49
58 2.6410488044597900E+50
59 2.4651847022749500E+51
60 2.3037189496820400E+52
61 2.1552597645327500E+53
62 2.0185698302452700E+54
63 1.8925470095075900E+55
64 1.7762077253898900E+56
65 1.6686726061629100E+57
66 1.5691540563258700E+58

独舟星海 · 发表于 2021-8-30 18:55

10^n 二生L14差等于348的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 6 3 3 1.000000000000E+00
4 21 15 6 4.000000000000E-01
5 73 71 2 2.816901408451E-02
6 311 311 0 0.000000000000E+00
7 1549 1531 18 1.175702155454E-02
8 8600 8613 -13 -1.509346336933E-03
9 51695 51804 -109 -2.104084626670E-03
10 329764
11 2203640
12 15288810
13 109413860
14 803711679
15 6036706979
16 46222937578
17 3.5992472544400000E+11
18 2.8444156667010000E+12
19 2.2776126899927000E+13
20 1.8452962096810000E+14
21 1.5109072882491200E+15
22 1.2489798389183200E+16
23 1.0414534297922000E+17
24 8.7531003042804800E+17
25 7.4102670166720400E+18
26 6.3154274686406000E+19
27 5.4155802315936600E+20
28 4.6704848694073900E+21
29 4.0492672904384000E+22
30 3.5280083474936400E+23
31 3.0880091032103800E+24
32 2.7145281566775900E+25
33 2.3958524851662900E+26
34 2.1226067091593500E+27
35 1.8872346866264700E+28
36 1.6836069535878900E+29
37 1.5067209577910800E+30
38 1.3524703375058200E+31
39 1.2174660161350500E+32
40 1.0988964975165100E+33
41 9.9441804493238800E+33
42 9.0206780614950200E+34
43 8.2019467830473900E+35
44 7.4740397697077200E+36
45 6.8251291335162400E+37
46 6.2451458364965600E+38
47 5.7254869998585400E+39
48 5.2587768913628500E+40
49 4.8386708711912800E+41
50 4.4596938853701400E+42
51 4.1171068724830200E+43
52 3.8067958243963400E+44
53 3.5251793115770500E+45
54 3.2691311203317000E+46
55 3.0359153069811200E+47
56 2.8231314933914800E+48
57 2.6286686403632000E+49
58 2.4506658637534300E+50
59 2.2874791209881100E+51
60 2.1376528067691100E+52
61 1.9998954671123700E+53
62 1.8730589787781200E+54
63 1.7561206532484200E+55
64 1.6481678158304600E+56
65 1.5483844852842000E+57
66 1.4560398408065800E+58

独舟星海 · 发表于 2021-8-30 18:55

10^n 二生L14差等于354的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 14 9 5 5.555555555556E-01
4 46 34 12 3.529411764706E-01
5 157 140 17 1.214285714286E-01
6 669 669 0 0.000000000000E+00
7 3330 3253 77 2.367045803873E-02
8 18492 18481 11 5.952058871273E-04
9 111155 111122 33 2.969708968521E-04
10 709056 二位以内精度较高
11 4738241
12 32873822
13 235260408
14 1728131490
15 12980057030
16 99388021970
17 7.7390595220600000E+11
18 6.1160294344680000E+12
19 4.8972962761334000E+13
20 3.9677344158381500E+14
21 3.2487352519751200E+15
22 2.6855419013844400E+16
23 2.2393210337724100E+17
24 1.8820814317166400E+18
25 1.5933469823624000E+19
26 1.3579358580261100E+20
27 1.1644517532684600E+21
28 1.0042422163866300E+22
29 8.7066873615795000E+22
30 7.5858824541425000E+23
31 6.6398012042453600E+24
32 5.8367468233586500E+25
33 5.1515341064451500E+26
34 4.5640042216725900E+27
35 4.0579100404622000E+28
36 3.6200720607614000E+29
37 3.2397338529870700E+30
38 2.9080659659782900E+31
39 2.6177812467124100E+32
40 2.3628344488899200E+33
41 2.1381860971203100E+34
42 1.9396156893953200E+35
43 1.7635730435709200E+36
44 1.6070593254369100E+37
45 1.4675313163014300E+38
46 1.3428239833473300E+39
47 1.2310875455978900E+40
48 1.1307360816983300E+41
49 1.0404053745852600E+42
50 9.5891818453065500E+42
51 8.8525552406887500E+43
52 8.1853280396307800E+44
53 7.5797994940675900E+45
54 7.0292476557299800E+46
55 6.5277897303876100E+47
56 6.0702644529369700E+48
57 5.6521326914807700E+49
58 5.2693931946108200E+50
59 4.9185109611343800E+51
60 4.5963561654944500E+52
61 4.3001519383775200E+53
62 4.0274295985669200E+54
63 3.7759901731237300E+55
64 3.5438712395544200E+56
65 3.3293182845013200E+57
66 3.1307599055863600E+58

独舟星海 · 发表于 2021-8-30 18:56

10^n 二生L14差等于360的数量实际数量理论-实际误差/实际
2 5 0 5 #DIV/0!
3 22 16 6 3.750000000000E-01
4 72 69 3 4.347826086957E-02
5 249 251 -2 -7.968127490040E-03
6 1058 1068 -10 -9.363295880150E-03
7 5265 5360 -95 -1.772388059701E-02
8 29231 29158 73 2.503601070032E-03
9 175705 175222 483 2.756503178825E-03
10 1120824
11 7489865
12 51964538
13 371882471
14 2731704046
15 20517926160
16 1.5710532636100000E+11
17 1.2233340072910000E+12
18 9.6677726478920000E+12
19 7.7412882809548000E+13
20 6.2719047824322400E+14
21 5.1353634160553400E+15
22 4.2451085000751500E+16
23 3.5397551421423600E+17
24 2.9750568700846200E+18
25 2.5186465401671000E+19
26 2.1465258279871700E+20
27 1.8406802862316300E+21
28 1.5874327511775200E+22
29 1.3762895491254100E+23
30 1.1991208951180500E+24
31 1.0495712808063200E+25
32 9.2263030935593200E+25
33 8.1431688749386500E+26
34 7.2144445431341800E+27
35 6.4144478238920700E+28
36 5.7223455229280000E+29
37 5.1211346619491300E+30
38 4.5968582894162400E+31
39 4.1379974060458200E+32
40 3.7349961280001300E+33
41 3.3798884206381900E+34
42 3.0660028226282800E+35
43 2.7877274653234400E+36
44 2.5403220106230100E+37
45 2.3197663241620200E+38
46 2.1226380801855500E+39
47 1.9460132800237100E+40
48 1.7873850150261000E+41
49 1.6445968304940300E+42
50 1.5157878318447400E+43
51 1.3993472781139400E+44
52 1.2938768752417200E+45
53 1.1981593452160900E+46
54 1.1111321315481900E+47
55 1.0318653250908600E+48
56 9.5954307075166000E+48
57 8.9344785571166900E+49
58 8.3294719137128000E+50
59 7.7748229055970300E+51
60 7.2655841331146400E+52
61 6.7973661240625100E+53
62 6.3662665674726500E+54
63 5.9688094875244000E+55
64 5.6018928300648900E+56
65 5.2627431885185700E+57
66 4.9488766047730200E+58

独木星空谁 · 发表于 2021-8-30 20:32

10^n 二生L14差等于366的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 15 11 4 3.636363636364E-01
4 49 45 4 8.888888888889E-02
5 169 162 7 4.320987654321E-02
6 719 739 -20 -2.706359945873E-02
7 3577 3634 -57 -1.568519537700E-02
8 19861 19873 -12 -6.038343481105E-04
9 119386 119359 27 2.262083294934E-04
10 761562 二位数以内
11 5089109
12 35308136
13 252681489
14 1856099981
15 13941232913
16 1.0674772536000000E+11
17 8.3121384652200000E+11
18 6.5689226671260000E+12
19 5.2599420687258000E+13
20 4.2615459622295700E+14
21 3.4893047629758900E+15
22 2.8844068293884500E+16
23 2.4051432151092500E+17
24 2.0214499473309600E+18
25 1.7113346528469200E+19
26 1.4584912865231300E+20
27 1.2506796441676900E+21
28 1.0786065582564700E+22
29 9.3514193445068200E+22
30 8.1476186040466600E+23
31 7.1314798437640900E+24
32 6.2689591214451300E+25
33 5.5330062624596700E+26
34 4.9019696693481800E+27
35 4.3583991103319700E+28
36 3.8881391385312700E+29
37 3.4796368085486000E+30
38 3.1234088465556100E+31
39 2.8116284843553400E+32
40 2.5378028239213000E+33
41 2.2965192156778000E+34
42 2.0832446285782200E+35
43 1.8941659887633800E+36
44 1.7260623977354400E+37
45 1.5762023109373600E+38
46 1.4422603744283100E+39
47 1.3222498305712700E+40
48 1.2144673202102100E+41
49 1.1174476057287100E+42
50 1.0299262725556900E+43
51 9.5080887699491200E+43
52 8.7914532579531200E+44
53 8.1410851995319400E+45
54 7.5497648847698700E+46
55 7.0111738973185600E+47
56 6.5197687793361800E+48
57 6.0706742752784500E+49
58 5.6595928402506600E+50
59 5.2827277054974900E+51
60 4.9367172812382300E+52
61 4.6185790704177700E+53
62 4.3256615854695900E+54
63 4.0556030190581100E+55
64 3.8062956309021000E+56
65 3.5758549855702900E+57
66 3.3625933180165800E+58

独木星空谁 · 发表于 2021-8-30 20:33

10^n 二生L14差等于372的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 6 5 1 2.000000000000E-01
4 21 19 2 1.052631578947E-01
5 72 71 1 1.408450704225E-02
6 309 286 23 8.041958041958E-02
7 1539 1486 53 3.566621803499E-02
8 8546 8537 9 1.054234508610E-03
9 51371 51237 134 2.615297538888E-03
10 327701
11 2189851
12 15193142
13 108729215
14 798682546
15 5998932984
16 45933702899
17 3.5767253815700000E+11
18 2.8266170650740000E+12
19 2.2633607923519000E+13
20 1.8337494823498400E+14
21 1.5014529608687600E+15
22 1.2411644922187300E+16
23 1.0349366555643900E+17
24 8.6983287928095600E+17
25 7.3638981289868600E+18
26 6.2759094126355500E+19
27 5.3816928654644900E+20
28 4.6412598512187600E+21
29 4.0239294693079100E+22
30 3.5059322438324300E+23
31 3.0686862438646300E+24
32 2.6975423111025100E+25
33 2.3808607157003600E+26
34 2.1093247434926100E+27
35 1.8754255341326600E+28
36 1.6730719780517600E+29
37 1.4972928258887400E+30
38 1.3440074109963900E+31
39 1.2098478635319600E+32
40 1.0920202799448200E+33
41 9.8819558917825100E+33
42 8.9642322131960900E+34
43 8.1506240509073400E+35
44 7.4272718314058500E+36
45 6.7824216783709900E+37
46 6.2060675596654300E+38
47 5.6896604280167900E+39
48 5.2258707039760300E+40
49 4.8083934485738500E+41
50 4.4317878673527400E+42
51 4.0913445530242800E+43
52 3.7829752403843600E+44
53 3.5031209102804600E+45
54 3.2486749109392800E+46
55 3.0169184185323800E+47
56 2.8054660750141100E+48
57 2.6122200507682100E+49
58 2.4353311059188500E+50
59 2.2731654852979800E+51
60 2.1242766918890400E+52
61 1.9873813528317300E+53
62 1.8613385291345000E+54
63 1.7451319316343600E+55
64 1.6378545965946800E+56
65 1.5386956486835600E+57
66 1.4469288401244700E+58

独木星空谁 · 发表于 2021-8-30 20:33

10^n 二生L14差等于378的数量实际数量理论-实际误差/实际
2 2 0 2 #DIV/0!
3 8 5 3 6.000000000000E-01
4 26 21 5 2.380952380952E-01
5 89 96 -7 -7.291666666667E-02
6 379 383 -4 -1.044386422977E-02
7 1890 1900 -10 -5.263157894737E-03
8 10493 10490 3 2.859866539561E-04
9 63076 63260 -184 -2.908631046475E-03
10 402361 (3)以微弱优势取胜(取正)
11 2688763
12 18654589
13 133500946
14 980646044
15 7365667283
16 56398758499
17 4.3916091732300000E+11
18 3.4706040044800000E+12
19 2.7790212995519000E+13
20 2.2515318312097400E+14
21 1.8435283374303200E+15
22 1.5239384599126000E+16
23 1.2707258247200600E+17
24 1.0680065267280900E+18
25 9.0416118443580400E+18
26 7.7057471308624200E+19
27 6.6078016157694400E+20
28 5.6986760691781200E+21
29 4.9406995742296400E+22
30 4.3046872656443600E+23
31 3.7678236992344700E+24
32 3.3121222053186000E+25
33 2.9232911794510200E+26
34 2.5898912845205600E+27
35 2.3027029197860900E+28
36 2.0542472408288900E+29
37 1.8384204007029800E+30
38 1.6502120362495900E+31
39 1.4854869773010900E+32
40 1.3408147864732500E+33
41 1.2133357614611300E+34
42 1.1006549348552800E+35
43 1.0007577191692100E+36
44 9.1194239498999200E+36
45 8.3276578663136600E+37
46 7.6199932388360300E+38
47 6.9859332944641900E+39
48 6.4164785588436900E+40
49 5.9038876414957100E+41
50 5.4414801741223700E+42
51 5.0234738072162300E+43
52 4.6448488478857200E+44
53 4.3012354271891500E+45
54 3.9888191062277300E+46
55 3.7042616327199500E+47
56 3.4446341935316900E+48
57 3.2073610114355200E+49
58 2.9901715350370900E+50
59 2.7910597914373600E+51
60 2.6082497288321700E+52
61 2.4401655840793000E+53
62 2.2854064785518600E+54
63 2.1427245823678300E+55
64 2.0110062986360400E+56
65 1.8892560106495600E+57
66 1.7765820099160700E+58

独木星空谁 · 发表于 2021-8-30 20:33

10^n 二生L14差等于384的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 12 8 4 5.000000000000E-01
4 40 33 7 2.121212121212E-01
5 139 150 -11 -7.333333333333E-02
6 590 584 6 1.027397260274E-02
7 2936 2967 -31 -1.044826423997E-02
8 16300 16146 154 9.537966059705E-03
9 97981 98049 -68 -6.935307856276E-04
10 625019 正负更迭
11 4176671
12 28977666
13 207377693
14 1523315906
15 11441679901
16 87608700848
17 6.8218376527800000E+11
18 5.3911666866790000E+12
19 4.3168759767398000E+13
20 3.4974844109980700E+14
21 2.8636999628521400E+15
22 2.3672554538129500E+16
23 1.9739200223623500E+17
24 1.6590199286983700E+18
25 1.4045058585268500E+19
26 1.1969953118896800E+20
27 1.0264426565847900E+21
28 8.8522091666673600E+21
29 7.6747836742811900E+22
30 6.6868149040219100E+23
31 5.8528618022607200E+24
32 5.1449842368865100E+25
33 4.5409819160516500E+26
34 4.0230852028076900E+27
35 3.5769725541852000E+28
36 3.1910264831896800E+29
37 2.8557653963367500E+30
38 2.5634062959364200E+31
39 2.3075256915464900E+32
40 2.0827948105029700E+33
41 1.8847714485727200E+34
42 1.7097353113929100E+35
43 1.5545569791477000E+36
44 1.4165930350147600E+37
45 1.2936016788138500E+38
46 1.1836744742098700E+39
47 1.0851808735270200E+40
48 9.9672291646000800E+40
49 9.1709807093070900E+41
50 8.4526862191961400E+42
51 7.8033635084589700E+43
52 7.2152150867856500E+44
53 6.6814528873632800E+45
54 6.1961516372730900E+46
55 5.7541257623416700E+47
56 5.3508257029592500E+48
57 4.9822502984163800E+49
58 4.6448725196939800E+50
59 4.3355763287036400E+51
60 4.0516028421765900E+52
61 3.7905043012364800E+53
62 3.5501046091071400E+54
63 3.3284654118646200E+55
64 3.1238568704220400E+56
65 2.9347324137456100E+57
66 2.7597068797390800E+58

独木星空谁 · 发表于 2021-8-30 20:33

10^n 二生L14差等于390的数量实际数量理论-实际误差/实际
2 5 0 5 #DIV/0!
3 23 18 5 2.777777777778E-01
4 74 66 8 1.212121212121E-01
5 254 246 8 3.252032520325E-02
6 1080 1062 18 1.694915254237E-02
7 5373 5333 40 7.500468779299E-03
8 29833 30007 -174 -5.798646982371E-03
9 179322 178970 352 1.966810079902E-03
10 1143898 一枝独秀，司空见怪
11 7644057
12 53034314
13 379538292
14 2787940731
15 20940321900
16 1.6033960160200000E+11
17 1.2485183787150000E+12
18 9.8667998765580000E+12
19 7.9006556149812000E+13
20 6.4010224057744200E+14
21 5.2410834392828500E+15
22 4.3325011406481800E+16
23 3.6126269071039200E+17
24 3.0363033790318200E+18
25 2.5704970810452600E+19
26 2.1907156431974700E+20
27 1.8785737607239000E+21
28 1.6201127026687600E+22
29 1.4046227655529900E+23
30 1.2238067992330600E+24
31 1.0711784566176500E+25
32 9.4162419349479600E+25
33 8.3108095914481300E+26
34 7.3629659198860600E+27
35 6.5464999335467400E+28
36 5.8401495520855900E+29
37 5.2265617625355900E+30
38 4.6914922862257500E+31
39 4.2231849860552200E+32
40 3.8118872543754000E+33
41 3.4494690624325200E+34
42 3.1291216057333800E+35
43 2.8451174859526600E+36
44 2.5926187772216100E+37
45 2.3675225840025700E+38
46 2.1663361262555200E+39
47 1.9860752099198400E+40
48 1.8241813174483000E+41
49 1.6784535999246300E+42
50 1.5469928531465600E+43
51 1.4281551763598700E+44
52 1.3205134892886300E+45
53 1.2228254542222200E+46
54 1.1340066401737800E+47
55 1.0531079942650000E+48
56 9.7929686566528000E+48
57 9.1184097035728500E+49
58 8.5009479890841200E+50
59 7.9348806058173700E+51
60 7.4151583036422600E+52
61 6.9373012457474000E+53
62 6.4973267855833100E+54
63 6.0916873885681400E+55
64 5.7172171395891100E+56
65 5.3710855368694500E+57
66 5.0507574858750200E+58

独木星空谁 · 发表于 2021-8-30 20:44

四生素数的中项差合成数中的数量公式，合成方法与余数类目关系恒等式：
\((P-4)^2=1*(P-4)+4*(P-6)+4*(P-7)+(P-9)*(P-8)\),P≥11，是素数，趋于无穷大。

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