[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-9-2 06:54

10^n 二生L22差等于276的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 5 4 1 2.500000000000E-01
4 16 12 4 3.333333333333E-01
5 58 53 5 9.433962264151E-02
6 246 243 3 1.234567901235E-02
7 1226 1210 16 1.322314049587E-02
8 6811 6836 -25 -3.657109420714E-03
9 40943 41098 -155 -3.771473064383E-03
10 261180
11 1745326
12 12109042
13 86657957
14 636555661
15 4781192191
16 36609487421
17 2.8506755301800000E+11
18 2.2528338748460000E+12
19 1.8039146253703000E+13
20 1.4615113602983100E+14
21 1.1966686727847000E+15
22 9.8921691476201500E+15
23 8.2485186436602500E+16
24 6.9326298213922100E+17
25 5.8690791055070100E+18
26 5.0019443719303200E+19
27 4.2892474333155200E+20
28 3.6991170625773300E+21
29 3.2071003640565300E+22
30 2.7942528966558600E+23
31 2.4457647294613800E+24
32 2.1499603792714400E+25
33 1.8975628987363400E+26
34 1.6811468005009800E+27
35 1.4947274695429100E+28
36 1.3334502482781900E+29

独木星空谁 · 发表于 2021-9-2 06:54

10^n 二生L22差等于282的数量实际数量理论-实际误差/实际
2 2 0 2 #DIV/0!
3 11 7 4 5.714285714286E-01
4 37 30 7 2.333333333333E-01
5 128 123 5 4.065040650407E-02
6 545 536 9 1.679104477612E-02
7 2712 2690 22 8.178438661710E-03
8 15060 15123 -63 -4.165840111089E-03
9 90527 90219 308 3.413915028985E-03
10 577475
11 3858956
12 26773364
13 191602686
14 1407438840
15 10571323144
16 80944397580
17 6.3029075177300000E+11
18 4.9810662124100000E+12
19 3.9884956857356000E+13
20 3.2314343889787600E+14
21 2.6458612683385400E+15
22 2.1871807796752200E+16
23 1.8237659677045400E+17
24 1.5328199984934700E+18
25 1.2976665504194900E+19
26 1.1059411164560000E+20
27 9.4836222525328800E+20
28 8.1788307703818800E+21
29 7.0909708174990100E+22
30 6.1781558098284400E+23
31 5.4076406580375100E+24
32 4.7536106069688800E+25
33 4.1955541180160700E+26
34 3.7170532721358100E+27
35 3.3048759513209000E+28
36 2.9482883987976100E+29

独木星空谁 · 发表于 2021-9-2 06:55

10^n 二生L22差等于288的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 13 10 3 3.000000000000E-01
4 44 35 9 2.571428571429E-01
5 152 147 5 3.401360544218E-02
6 648 635 13 2.047244094488E-02
7 3225 3216 9 2.798507462687E-03
8 17909 17833 76 4.261761902092E-03
9 107649 107468 181 1.684222280121E-03
10 686696
11 4588823
12 31837166
13 227841614
14 1673635915
15 12570738830
16 96253881172
17 7.4950129889800000E+11
18 5.9231641676460000E+12
19 4.7428630179019000E+13
20 3.8426143252646200E+14
21 3.1462883625477500E+15
22 2.6008549715841600E+16
23 2.1687054075222300E+17
24 1.8227311389492700E+18
25 1.5431017547704400E+19
26 1.3151141770005200E+20
27 1.1277314757579800E+21
28 9.7257404913973100E+21
29 8.4321272733519000E+22
30 7.3466662666996900E+23
31 6.4304191133601600E+24
32 5.6526885637437300E+25
33 4.9890836129297300E+26
34 4.4200811255817400E+27
35 3.9299463164349200E+28
36 3.5059152910146400E+29

独木星空谁 · 发表于 2021-9-2 06:55

10^n 二生L22差等于294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 27 24 3 1.250000000000E-01
5 94 86 8 9.302325581395E-02
6 399 372 27 7.258064516129E-02
7 1989 1943 46 2.367472979928E-02
8 11042 10985 57 5.188893946290E-03
9 66375 66301 74 1.116121928779E-03
10 423407 不超两位数
11 2829406
12 19630368
13 140484072
14 1031941375
15 7750948341
16 59348847405
17 4.6213241146000000E+11
18 3.6521432908680000E+12
19 2.9243854906054000E+13
20 2.3693042654576400E+14
21 1.9399590504651400E+15
22 1.6036521639695600E+16
23 1.3371945601669500E+17
24 1.1238714835107900E+18
25 9.5145576946783000E+18
26 8.1088169807844500E+19
27 6.9534404695173800E+20
28 5.9967606635658900E+21
29 5.1991361673431800E+22
30 4.5298555226165200E+23
31 3.9649098619636600E+24
32 3.4853716745198800E+25
33 3.0762017949915300E+26
34 2.7253625209416300E+27
35 2.4231519955902800E+28
36 2.1617001734260900E+29

独木星空谁 · 发表于 2021-9-2 06:55

10^n 二生L22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 19 14 5 3.571428571429E-01
4 64 55 9 1.636363636364E-01
5 219 219 0 0.000000000000E+00
6 932 934 -2 -2.141327623126E-03
7 4638 4635 3 6.472491909385E-04
8 25752 25740 12 4.662004662005E-04
9 154797 155306 -509 -3.277400744337E-03
10 987449
11 6598590
12 45780888
13 327629389
14 2406638111
15 18076344370
16 1.3841018627200000E+11
17 1.0777603264230000E+12
18 8.5173319327990000E+12
19 6.8200943772462000E+13
20 5.5255638323824000E+14
21 4.5242680401297600E+15
22 3.7399512279358700E+16
23 3.1185331517941900E+17
24 2.6210325588274300E+18
25 2.2189339142845600E+19
26 1.8910946342206700E+20
27 1.6216439454038700E+21
28 1.3985322323155900E+22
29 1.2125145421267300E+23
30 1.0564285139145200E+24
31 9.2467492889483400E+24
32 8.1283961489924000E+25
33 7.1741521877655000E+26
34 6.3559437238158500E+27
35 5.6511446091592400E+28
36 5.0414007474176600E+29

独木星空谁 · 发表于 2021-9-2 07:27

10^n 二生L22差等于306的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 5 5 0 0.000000000000E+00
4 18 16 2 1.250000000000E-01
5 62 49 13 2.653061224490E-01
6 264 253 11 4.347826086957E-02
7 1315 1351 -36 -2.664692820133E-02
8 7302 7237 65 8.981622219152E-03
9 43892 44128 -236 -5.348078317621E-03
10 279986
11 1870998
12 12980953
13 92897754
14 682390784
15 5125461431
16 39245549701
17 3.0559381210700000E+11
18 2.4150489403970000E+12
19 1.9338053077103000E+13
20 1.5667473316502200E+14
21 1.2828346743553000E+15
22 1.0604453743762300E+16
23 8.8424523586214400E+16
24 7.4318131004934700E+17
25 6.2916815274842100E+18
26 5.3621088488734800E+19
27 4.5980942423622400E+20
28 3.9654715965204100E+21
29 3.4380272875158800E+22
30 2.9954527817682600E+23
31 2.6218717608501700E+24
32 2.3047680496234400E+25
33 2.0341967151229100E+26
34 1.8021975985596300E+27
35 1.6023551633376700E+28
36 1.4294651927657700E+29

独木星空谁 · 发表于 2021-9-2 07:27

10^n 二生L22差等于312的数量实际数量理论-实际误差/实际
2 3 0 3 #DIV/0!
3 11 7 4 5.714285714286E-01
4 38 34 4 1.176470588235E-01
5 132 130 2 1.538461538462E-02
6 562 557 5 8.976660682226E-03
7 2797 2821 -24 -8.507621410847E-03
8 15529 15683 -154 -9.819549831027E-03
9 93345 93745 -400 -4.266894234359E-03
10 595446
11 3979050
12 27606569
13 197565487
14 1451239258
15 10900309638
16 83463440202
17 6.4990581242800000E+11
18 5.1360802525330000E+12
19 4.1126202815343000E+13
20 3.3319987418038700E+14
21 2.7282022024521900E+15
22 2.2552472768226600E+16
23 1.8805227580859800E+17
24 1.5805223599189800E+18
25 1.3380507826572900E+19
26 1.1403587277243600E+20
27 9.7787587830830700E+20
28 8.4333613361562600E+21
29 7.3116464696476800E+22
30 6.3704240615952500E+23
31 5.5759299740579900E+24
32 4.9015460798049800E+25
33 4.3261225077256200E+26
34 3.8327304023921800E+27
35 3.4077258536260100E+28
36 3.0400410631184700E+29

独木星空谁 · 发表于 2021-9-2 08:12

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
\(C_{31}\) 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
\(C_{47}\) 0.9489345908908210
\(C_{48}\) 0.9342622708223040
\(C_{49}\) 0.9090250723726380
\(C_{50}\) 0.8578440874751090
\(C_{51}\) 0.7193123401330190
\(C_{52}\) 0.9508952248698260
\(C_{53}\) 0.9391457559795230
\(C_{54}\) 0.9211359721846420
\(C_{55}\) 0.8908090321147870
\(C_{56}\) 0.8317551646356460
\(C_{57}\) 0.6830483166903980
\(C_{58}\) 0.8598175337111590
\(C_{59}\) 0.7213952196051600
\(C_{60}\) 0.9544745190776820
\(C_{61}\) 0.9439263545810700
\(C_{62}\) 0.9277969619647310
\(C_{63}\) 0.9005522356215030
\(C_{64}\) 0.8467034930792770
\(C_{65}\) 0.7057104088105860
\(C_{66}\) 0.9231043337019890
\(C_{67}\) 0.8929423508336080
\(C_{68}\) 0.8340023908475160
\(C_{69}\) 0.6851458869512320
\(C_{70}\) 0.8628439531856840
\(C_{71}\) 0.7243335054831620
\(C_{72}\) 0.9590226406706760
\(C_{73}\) 0.9492555368387110
\(C_{74}\) 0.9340963963184000
\(C_{75}\) 0.9080374740351110
\(C_{76}\) 0.8555071553419190
\(C_{77}\) 0.7151394661299430
\(C_{78}\) 0.9395080332688690
\(C_{79}\) 0.9150326342469720
\(C_{80}\) 0.8646170522876200
\(C_{81}\) 0.7262182757965900
\(C_{82}\) 0.9622367790934800
\(C_{83}\) 0.9534350593183060
\(C_{84}\) 0.9396275848878230
\(C_{85}\) 0.9154771550388930
\(C_{86}\) 0.8655560571146640
\(C_{87}\) 0.7277509208464940
\(C_{88}\) 0.9660058153666870
这是梅腾斯推广公式中的系数（常数）

独木星空谁 · 发表于 2021-9-2 12:04

10^n 二生L22差等于318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 34 26 8 3.076923076923E-01
5 119 97 22 2.268041237113E-01
6 507 482 25 5.186721991701E-02
7 2525 2496 29 1.161858974359E-02
8 14022 14032 -10 -7.126567844926E-04
9 84289 84061 228 2.712316056197E-03
10 537683
11 3593051
12 24928516
13 178400093
14 1310457728
15 9842894558
16 75366835319
17 5.8685987804300000E+11
18 4.6378403962250000E+12
19 3.7136640274703000E+13
20 3.0087688675204100E+14
21 2.4635453033199100E+15
22 2.0364706954813200E+16
23 1.6980973786711500E+17
24 1.4271993597361400E+18
25 1.2082494172374900E+19
26 1.0297350340308700E+20
27 8.8301428870299300E+20
28 7.6152594892759000E+21
29 6.6023597164630500E+22
30 5.7524432254299200E+23
31 5.0350212630443600E+24
32 4.4260578680920800E+25
33 3.9064548719719600E+26
34 3.4609256503120700E+27
35 3.0771498586711900E+28
36 2.7451333615278100E+29

独木星空谁 · 发表于 2021-9-2 12:04

10^n 二生L22差等于324的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 4 2 2 1.000000000000E+00
4 15 13 2 1.538461538462E-01
5 52 52 0 0.000000000000E+00
6 222 232 -10 -4.310344827586E-02
7 1107 1080 27 2.500000000000E-02
8 6148 6126 22 3.591250408097E-03
9 36959 36902 57 1.544631727278E-03
10 235765
11 1575492
12 10930733
13 78225423
14 574613548
15 4315942776
16 33047082498
17 2.5732813010500000E+11
18 2.0336145671870000E+12
19 1.6283788614311000E+13
20 1.3192942567127900E+14
21 1.0802229459719900E+15
22 8.9295795417032500E+15
23 7.4458697815035300E+16
24 6.2580277894054100E+17
25 5.2979693257450800E+18
26 4.5152139501246000E+19
27 3.8718682988808200E+20
28 3.3391624780600000E+21
29 2.8950230603323200E+22
30 2.5223490548911600E+23
31 2.2077716591888100E+24
32 1.9407515107880600E+25
33 1.7129143857924900E+26
34 1.5175573579799700E+27
35 1.3492781647049900E+28
36 1.2036945465867500E+29

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[原创]k生素数群的数量公式

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