[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-8-30 10:46

10^n 二生L14差等于294的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 16 12 4 3.333333333333E-01
4 53 47 6 1.276595744681E-01
5 184 176 8 4.545454545455E-02
6 781 772 9 1.165803108808E-02
7 3888 3856 32 8.298755186722E-03
8 21586 21466 120 5.590235721606E-03
9 129756 129662 94 7.249618238189E-04
10 827714
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

独木星空谁 · 发表于 2021-8-30 10:46

10^n 二生L14差等于300的数量实际数量理论-实际误差/实际
2 5 0 5 #DIV/0!
3 23 17 6 3.529411764706E-01
4 75 62 13 2.096774193548E-01
5 257 234 23 9.829059829060E-02
6 1092 1068 24 2.247191011236E-02
7 5435 5413 22 4.064289673009E-03
8 30177 30367 -190 -6.256791912273E-03
9 181395 180794 601 3.324225361461E-03
10 1157117 一枝独秀(依旧→一九)
11 7732392 就你显眼(九一）
12 53647186
13 383924289
14 2820158558
15 21182311141
16 1.6219250810200000E+11
17 1.2629464289040000E+12
18 9.9808219736680000E+12
19 7.9919566784500000E+13
20 6.4749935015182100E+14
21 5.3016501207146600E+15
22 4.3825681200100800E+16
23 3.6543749207635700E+17
24 3.0713913186951600E+18
25 2.6002020990310700E+19
26 2.2160318546271000E+20
27 1.9002828176069000E+21
28 1.6388349479989400E+22
29 1.4208547795170200E+23
30 1.2379492790088300E+24
31 1.0835571422635100E+25
32 9.5250573224848600E+25
33 8.4068504507088100E+26
34 7.4480533672486600E+27
35 6.6221521876201300E+28
36 5.9076391239523600E+29
37 5.2869606294726300E+30
38 4.7457078166654800E+31
39 4.2719886928920200E+32
40 3.8559379480276400E+33
41 3.4893316015875600E+34
42 3.1652821655968900E+35
43 2.8779960551271500E+36
44 2.6225794365725300E+37
45 2.3948820007699400E+38
46 2.1913706046325800E+39
47 2.0090265683426400E+40
48 1.8452618077720400E+41
49 1.6978500406915800E+42
50 1.5648701154338800E+43
51 1.4446591341014000E+44
52 1.3357735248821700E+45
53 1.2369565934400200E+46
54 1.1471113769543800E+47
55 1.0652778551612900E+48
56 9.9061375500257900E+48
57 9.2237833008603100E+49
58 8.5991861138321600E+50
59 8.0265771779898100E+51
60 7.5008488933735600E+52
61 7.0174696535614000E+53
62 6.5724107879922900E+54
63 6.1620837662865700E+55
64 5.7832860875807700E+56
65 5.4331545404301000E+57
66 5.1091247343991500E+58

独木星空谁 · 发表于 2021-8-30 12:03

10^n 二生L14差等于306的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 14 12 2 1.666666666667E-01
4 45 44 1 2.272727272727E-02
5 157 149 8 5.369127516779E-02
6 667 676 -9 -1.331360946746E-02
7 3318 3245 73 2.249614791988E-02
8 18425 18148 277 1.526338990522E-02
9 110752 110691 61 5.510836472703E-04
10 706487 负九，你也不内疚
11 4721073 就你搞特殊
12 32754714
13 234408015
14 1721870144
15 12933027838
16 99027920442
17 7.7110194513300000E+11
18 6.0938699075320000E+12
19 4.8795524490460000E+13
20 3.9533585665054000E+14
21 3.2369644720766600E+15
22 2.6758116771040600E+16
23 2.2312075517659900E+17
24 1.8752622960944700E+18
25 1.5875739860494900E+19
26 1.3530158005694900E+20
27 1.1602327251769100E+21
28 1.0006036576316100E+22
29 8.6751413928781200E+22
30 7.5583973727869100E+23
31 6.6157439535053400E+24
32 5.8155991899406800E+25
33 5.1328691277986100E+26
34 4.5474679744926100E+27
35 4.0432074678518300E+28
36 3.6069558576427000E+29
37 3.2279956868530600E+30
38 2.8975294950870700E+31
39 2.6082965320504100E+32
40 2.3542734545098800E+33
41 2.1304390460437900E+34
42 1.9325880963178000E+35
43 1.7571832861666800E+36
44 1.6012366467215600E+37
45 1.4622141738510600E+38
46 1.3379586790598400E+39
47 1.2266270834761500E+40
48 1.1266392118371000E+41
49 1.0366357898947300E+42
50 9.5544384328235500E+42
51 8.8204807651790100E+43
52 8.1556710539799400E+44
53 7.5523364524224200E+45
54 7.0037793671222600E+46
55 6.5041383183209800E+47
56 6.0482707411509700E+48
57 5.6316539498449700E+49
58 5.2503011902825200E+50
59 4.9006902692462100E+51
60 4.5797027011267200E+52
61 4.2845716777312200E+53
62 4.0128374623402300E+54
63 3.7623090493080600E+55
64 3.5310311263676300E+56
65 3.3172555370937100E+57
66 3.1194165725951000E+58

独木星空谁 · 发表于 2021-8-30 12:04

10^n 二生L14差等于312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 18 6 3.333333333333E-01
5 83 71 12 1.690140845070E-01
6 352 329 23 6.990881458967E-02
7 1755 1683 72 4.278074866310E-02
8 9746 9638 108 1.120564432455E-02
9 58584 58263 321 5.509500025745E-03
10 373710 三二一，踏步走。
11 2497306 一百单八将
12 17326261
13 123994806
14 910817637
15 6841183637
16 52382798322
17 4.0788979005000000E+11
18 3.2234743186260000E+12
19 2.5811368218494000E+13
20 2.0912080508481700E+14
21 1.7122570721683500E+15
22 1.4154240824808100E+16
23 1.1802418416831700E+17
24 9.9195748249855500E+17
25 8.3977899932272200E+18
26 7.1570475773382800E+19
27 6.1372829581006100E+20
28 5.2928930916504300E+21
29 4.5888894765923800E+22
30 3.9981654007806500E+23
31 3.4995300287547500E+24
32 3.0762774592592600E+25
33 2.7151337434820100E+26
34 2.4054740998713300E+27
35 2.1387354235098500E+28
36 1.9079714125764200E+29
37 1.7075128539168600E+30
38 1.5327061549725100E+31
39 1.3797105967154200E+32
40 1.2453400113213500E+33
41 1.1269383259779200E+34
42 1.0222811106065700E+35
43 9.2949722951536600E+35
44 8.4700613683448400E+36
45 7.7346742041782600E+37
46 7.0773999228341900E+38
47 6.4884891901450100E+39
48 5.9595833531427500E+40
49 5.4834922589414400E+41
50 5.0540112251228300E+42
51 4.6657696432526700E+43
52 4.3141052553774100E+44
53 3.9949593557815500E+45
54 3.7047891185436100E+46
55 3.4404939967603500E+47
56 3.1993537279328600E+48
57 2.9789759470052400E+49
58 2.7772517806807300E+50
59 2.5923180944399100E+51
60 2.4225253029737400E+52
61 2.2664098477735100E+53
62 2.1226706019254200E+54
63 1.9901485891897500E+55
64 1.8678095080514600E+56
65 1.7547286362195900E+57
66 1.6500777606738700E+58

独木星空谁 · 发表于 2021-8-30 14:23

n值常数
\(C_2\) 0.8198024467614170
\(C_3\) 0.6708911371764450
\(C_4\) 0.8402588276900470
\(C_6\) 0.9136964989279490
\(C_7\) 0.8821704211013320
\(C_8\) 0.8218582224408050
\(C_9\) 0.6728058758352150
\(C_10\) 0.8430124893896950
\(C_11\) 0.7021951679445290
\(C_12\) 0.9177718695843230
\(C_13\) 0.8868498480188450
\(C_14\) 0.8271250132350180
\(C_15\) 0.6781131738061740
\(C_16\) 0.8513854007840780
\(C_17\) 0.7112251442524340
\(C_18\) 0.9336034327102970
\(C_19\) 0.9083474490046500
\(C_20\) 0.8571665659730140
\(C_21\) 0.7187089112867240
\(C_22\) 0.9500455911008540
\(C_23\) 0.9382492774747350
\(C_24\) 0.9201934432369970
\(C_25\) 0.8898283297453090
\(C_26\) 0.8307658474580030
\(C_27\) 0.6821664445538960
\(C_28\) 0.8586062036883280
\(C_29\) 0.7202795644250320
\(C_30\) 0.9528429983828730

独木星空谁 · 发表于 2021-8-30 14:25

n值常数
\(C_2\) 0.8198024467614170
\(C_3\) 0.6708911371764450
\(C_4\) 0.8402588276900470
\(C_6\) 0.9136964989279490
\(C_7\) 0.8821704211013320
\(C_8\) 0.8218582224408050
\(C_9\) 0.6728058758352150
\(C_{10}\) 0.8430124893896950
\(C_{11}\) 0.7021951679445290
\(C_{12}\) 0.9177718695843230
\(C_{13}\) 0.8868498480188450
\(C_{14}\) 0.8271250132350180
\(C_{15}\) 0.6781131738061740
\(C_{16}\) 0.8513854007840780
\(C_{17}\) 0.7112251442524340
\(C_{18}\) 0.9336034327102970
\(C_{19}\) 0.9083474490046500
\(C_{20}\) 0.8571665659730140
\(C_{21}\) 0.7187089112867240
\(C_{22}\) 0.9500455911008540
\(C_{23}\) 0.9382492774747350
\(C_{24}\) 0.9201934432369970
\(C_{25}\) 0.8898283297453090
\(C_{26}\) 0.8307658474580030
\(C_{27}\) 0.6821664445538960
\(C_{28}\) 0.8586062036883280
\(C_{29}\) 0.7202795644250320
\(C_{30}\) 0.9528429983828730

独舟星海 · 发表于 2021-8-30 15:51

10^n 二生L14差等于318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 22 17 5 2.941176470588E-01
5 75 77 -2 -2.597402597403E-02
6 320 354 -34 -9.604519774011E-02
7 1593 1687 -94 -5.572021339656E-02
8 8848 8836 12 1.358080579448E-03
9 53185 53162 23 4.326398555359E-04
10 339268 12与23还是比较谐和的
11 2267146
12 15729419
13 112567059
14 826873853
15 6210678897
16 47555036874
17 3.7029739967500000E+11
18 2.9263889100030000E+12
19 2.3432512326885000E+13
20 1.8984758194442300E+14
21 1.5544501403700800E+15
22 1.2849742012799600E+16
23 1.0714670865115700E+17
24 9.0053559887380300E+17
25 7.6238235752995700E+18
26 6.4974318354779000E+19
27 5.5716518919843600E+20
28 4.8050836191675000E+21
29 4.1659631646307200E+22
30 3.6296820550408600E+23
31 3.1770024681739400E+24
32 2.7927581705398900E+25
33 2.4648985816915800E+26
34 2.1837781329566200E+27
35 1.9416229217726200E+28
36 1.7321268390765900E+29
37 1.5501431640130500E+30
38 1.3914471935723700E+31
39 1.2525521813254300E+32
40 1.1305656065741900E+33
41 1.0230761884291200E+34
42 9.2806450719908100E+34
43 8.4383187687117400E+35
44 7.6894341959373100E+36
45 7.0218225976873700E+37
46 6.4251247562802400E+38
47 5.8904898664766500E+39
48 5.4103296347367100E+40
49 4.9781165750043900E+41
50 4.5882178476712500E+42
51 4.2357578162629300E+43
52 3.9165039110046500E+44
53 3.6267714891101500E+45
54 3.3633442425025300E+46
55 3.1234073803146300E+47
56 2.9044913478913600E+48
57 2.7044242679735300E+49
58 2.5212916275797100E+50
59 2.3534020044566200E+51
60 2.1992578442025800E+52
61 2.0575304744083800E+53
62 1.9270386840592300E+54
63 1.8067303117666200E+55
64 1.6956663804567400E+56
65 1.5930073931181000E+57
66 1.4980014674156700E+58

独舟星海 · 发表于 2021-8-30 15:51

10^n 二生L14差等于324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 45 45 0 0.000000000000E+00
5 154 142 12 8.450704225352E-02
6 656 642 14 2.180685358255E-02
7 3266 3321 -55 -1.656127672388E-02
8 18137 18134 3 1.654350942980E-04
9 109020 109363 -343 -3.136344101753E-03
10 695439 双鹰夹小鸟，没得跑。
11 4647246
12 32242501
13 230742375
14 1694943780
15 12730782958
16 97479335677
17 7.5904356080500000E+11
18 5.9985748225580000E+12
19 4.8032466905836000E+13
20 3.8915364983872100E+14
21 3.1863452745709300E+15
22 2.6339677084909100E+16
23 2.1963162402568900E+17
24 1.8459372066905300E+18
25 1.5627477261853400E+19
26 1.3318575287910400E+20
27 1.1420891681576800E+21
28 9.8495635763572400E+21
29 8.5394807455820900E+22
30 7.4402002122248100E+23
31 6.5122878752200700E+24
32 5.7246556635136200E+25
33 5.0526020385573100E+26
34 4.4763553065787400E+27
35 3.9799803551858300E+28
36 3.5505507866178300E+29
37 3.1775167419557700E+30
38 2.8522183342585400E+31
39 2.5675083558290400E+32
40 2.3174576556327800E+33
41 2.0971235383278700E+34
42 1.9023665540708600E+35
43 1.7297046997986400E+36
44 1.5761967320814700E+37
45 1.4393482731900200E+38
46 1.3170358684408000E+39
47 1.2074452607715900E+40
48 1.1090209854791600E+41
49 1.0204250244560500E+42
50 9.4050274614460600E+42
51 8.6825473211144800E+43
52 8.0281338111605000E+44
53 7.4342340716849500E+45
54 6.8942552453318700E+46
55 6.4024275133431300E+47
56 5.9536887295609500E+48
57 5.5435869333453400E+49
58 5.1681977148789300E+50
59 4.8240539605090300E+51
60 4.5080859510679500E+52
61 4.2175701453222500E+53
62 3.9500852715711200E+54
63 3.7034745868085900E+55
64 3.4758133556672300E+56
65 3.2653807591473900E+57
66 3.0706355726944400E+58

独舟星海 · 发表于 2021-8-30 17:44

10^n 二生L14差等于330的数量实际数量理论-实际误差/实际
2 6 0 6 #DIV/0!
3 24 16 8 5.000000000000E-01
4 78 58 20 3.448275862069E-01
5 269 245 24 9.795918367347E-02
6 1142 1147 -5 -4.359197907585E-03
7 5682 5675 7 1.233480176211E-03
8 31550 31428 122 3.881888761614E-03
9 189644 189188 456 2.410300864748E-03
10 1209736
11 8084019
12 56086767
13 401383064
14 2948403930
15 22145566689
16 1.6956813544400000E+11
17 1.3203783184580000E+12
18 1.0434695116766000E+13
19 8.3553871160155000E+13
20 6.7694407584503900E+14
21 5.5427401441861200E+15
22 4.5818633256273200E+16
23 3.8205558861913000E+17
24 3.2110613814594000E+18
25 2.7184450556223700E+19
26 2.3168048516527000E+20
27 1.9866972770049700E+21
28 1.7133601895902600E+22
29 1.4854674763837700E+23
30 1.2942444350332900E+24
31 1.1328313891324700E+25
32 9.9582047843425100E+25
33 8.7891479856900900E+26
34 7.7867500598332300E+27
35 6.9232914159722500E+28
36 6.1762862097888400E+29
37 5.5273826553003900E+30
38 4.9615166276690900E+31
39 4.4662553515338200E+32
40 4.0312848964734100E+33
41 3.6480073003930200E+34
42 3.3092218700703900E+35
43 3.0088715600516100E+36
44 2.7418399919699100E+37
45 2.5037881233224400E+38
46 2.2910221430170700E+39
47 2.1003860982037400E+40
48 1.9291742128567400E+41
49 1.7750589656189300E+42
50 1.6360318413625000E+43
51 1.5103543226971000E+44
52 1.3965171920676200E+45
53 1.2932066075592900E+46
54 1.1992757224878100E+47
55 1.1137208601232700E+48
56 1.0356614454398600E+49
57 9.6432304695467800E+49
58 8.9902300218258100E+50
59 8.3915819663435500E+51
60 7.8419464374558400E+52
61 7.3365857560889800E+53
62 6.8712880497998900E+54
63 6.4423016014927300E+55
64 6.0462782780969300E+56
65 5.6802246649859300E+57
66 5.3414597572861100E+58

独舟星海 · 发表于 2021-8-30 17:44

10^n 二生L14差等于336的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 15 12 3 2.500000000000E-01
4 49 45 4 8.888888888889E-02
5 169 157 12 7.643312101911E-02
6 719 749 -30 -4.005340453939E-02
7 3581 3511 70 1.993733978923E-02
8 19882 20045 -163 -8.131703666750E-03
9 119512 119539 -27 -2.258677084466E-04
10 762368
11 5094500
12 35345538
13 252949160
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