[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-10-5 06:33

mod(n,15) 6at^3 6bt^2 6ct d 5周 6周 7周
1→→→ 319 -276 -19 -4 5476 9805 15956
2→→→ 294 -222 -48 -4 5156 9200 14934
3→→→ 266 -180 -62 -4 4736 8430 13660
4→→→ 239 -147 -62 -4 4311 7656 12386
5→→→ 217 -120 -49 -4 3976 7039 11364
6→→→ 204 -96 -24 -4 3826 6740 10846
7→→→ 204 -72 12 -4 3956 6920 11084
8→→→ 217 -21 14 0 4445 7700 12250
9→→→ 239 60 37 0 5260 9001 14196
10→→→ 266 162 76 0 6280 10624 16618
11→→→ 294 276 126 0 7380 12366 19208
12→→→ 319 393 182 0 8435 14024 21658
13→→→ 337 504 239 0 9320 15395 23660
14→→→ 344 600 292 0 9910 16276 24906
15→→0同 337 666 347 -1 10084 16474 25108
一周汇总 4096 1527 1061 -29 92551 157650 247834
x+y+z+u=N 正整数解组数及a,b c,d 的值

独木星空谁 · 发表于 2021-10-5 06:34

mod(n,15) 24at^4 24bt^3 24ct^2 24dt 6e 6周 7周 8周
1→→→ 2455 -1730 245 -1090 30 117100 221065 382375
2→→→ 2510 -940 -410 -1280 30 126150 236465 406805
3→→→ 2510 -220 -890 -1520 30 131850 245705 420805
4→→→ 2455 390 -1195 -1770 30 133850 248225 423535
5→→→ 2353 866 -1321 -1994 30 132381 244501 415871
6→→→ 2220 1200 -1260 -2160 30 128255 236045 400405
7→→→ 2080 1400 -1000 -2240 30 122865 225405 381445
8→→→ 1960 1540 -700 -1960 0 118160 216090 364840
9→→→ 1880 1740 -320 -1620 0 116295 211820 356580
10→→→ 1852 2088 260 -1176 0 118896 215306 360920
11→→→ 1880 2640 1120 -600 0 126810 227920 379960
12→→→ 1960 3420 2300 120 0 140100 249690 413640
13→→→ 2080 4420 3800 980 0 158045 279300 459740
14→→→ 2220 5600 5580 1960 0 179140 314090 513880
15→→0同 2353 6878 7595 2974 6 201101 350071 569555
一周汇总 32768 29292 13804 -11376 216 2050998 3721698 6250356
x+y+z+u+v=N 的正整数解组数，及系数 a,b,c,d,e 的值

独木星空谁 · 发表于 2021-10-5 06:34

mod(n,15) 120at^5 120bt^4 120ct^3 120dt^2 120et 6f 10周 11周
1→→→ 16680 -10380 -540 -16260 11220 -36 13017879 21098280
2→→→ 17310 -3030 -1590 -17310 5340 -36 14145264 22827315
3→→→ 17968 4990 -1340 -20230 -668 -36 15361080 24688196
4→→→ 18543 13290 285 -24630 -6768 -36 16541280 26485596
5→→→ 18936 21390 3240 -30030 -12816 -36 17563401 28028082
6→→→ 19076 28780 7420 -35860 -18576 -36 18325396 29157573
7→→→ 18936 34980 12720 -41460 -23736 -36 18764466 29778798
8→→→ 18543 39690 18585 -44730 -29568 0 18875136 29887242
9→→→ 17968 42990 24360 -45030 -33568 0 18718511 29581552
10→→→ 17310 45270 30210 -42210 -35460 0 18411120 29044191
11→→→ 16680 47130 36900 -35610 -34860 0 18102420 28506522
12→→→ 16185 49280 45575 -24260 -31340 0 17951130 28212492
13→→→ 15912 52440 57540 -7080 -24492 0 18101559 28382310
14→→→ 15912 57240 74040 16920 -13992 0 18659934 29176125
15→→0同 16185 64105 96125 48215 610 -6 19670854 30657956
一周汇总 262144 488165 403530 -319565 -248674 -258 262209430 415512230
x+y+z+u+v+w=N 的正整数解组数，及系数 a,b,c,d,e,f 的值

独舟星海 · 发表于 2021-10-5 06:56

10^n 两组三生差等于210的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 1 3 -2 -6.666666666667E-01
4 7 10 -3 -3.000000000000E-01
5 18 20 -2 -1.000000000000E-01
6 52 46 6 1.304347826087E-01
7 179 165 14 8.484848484848E-02
8 723 682 41 6.011730205279E-02
9 3316 3234 82 2.535559678417E-02
10 16745 16359 386 2.359557430161E-02
11 90969
12 523809
13 3163213
14 19878061
15 129217845
16 864853043
17 5937503771
18 41684798543
19 2.9851322775700000E+11
20 2.1759058891900000E+12
21 1.6114894416811000E+13
22 1.2107641419465200E+14
23 9.2164299942399800E+14
24 7.0996894790539500E+15
25 5.5291050492489700E+16
26 4.3493803288744000E+17
27 3.4531839441151000E+18
28 2.7652371485714700E+19
29 2.2320211984333600E+20
30 1.8150068727524200E+21
31 1.4861310746654000E+22
32 1.2247308242814000E+23
33 1.0154370229249300E+24
34 8.4670933104763500E+24
35 7.0980502279314000E+25
36 5.9804527444645100E+26

独舟星海 · 发表于 2021-10-5 06:57

10^n 两组三生差等于216的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 0 2 -2 -1.000000000000E+00
4 1 2 -1 -5.000000000000E-01
5 4 3 1 3.333333333333E-01
6 12 13 -1 -7.692307692308E-02
7 44 49 -5 -1.020408163265E-01
8 179 180 -1 -5.555555555556E-03
9 823 789 34 4.309252217997E-02
10 4156 4100 56 1.365853658537E-02
11 22582
12 130030
13 785234
14 4934519
15 32076967
16 214690645
17 1473922684
18 10347811562
19 74102760184
20 5.4014568634800000E+11
21 4.0003525650860000E+12
22 3.0055942755027000E+13
23 2.2878815346087900E+14
24 1.7624230283022200E+15
25 1.3725420095410900E+16
26 1.0796877910038400E+17
27 8.5721649123208000E+17
28 6.8644095544422700E+18
29 5.5407571998513000E+19
30 4.5055631214619200E+20
31 3.6891636413017200E+21
32 3.0402650912455500E+22
33 2.5207153049065700E+23
34 2.1018666065879300E+24
35 1.7620161015012500E+25
36 1.4845843142314400E+26

独舟星海 · 发表于 2021-10-5 06:57

10^n 两组三生差等于234的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 0 2 -2 -1.000000000000E+00
4 2 2 0 0.000000000000E+00
5 6 7 -1 -1.428571428571E-01
6 18 20 -2 -1.000000000000E-01
7 65 62 3 4.838709677419E-02
8 262 239 23 9.623430962343E-02
9 1205 1214 -9 -7.413509060956E-03
10 6088 6095 -7 -1.148482362592E-03
11 33073
12 190439
13 1150036
14 7226984
15 46979194
16 314431019
17 2158673520
18 15155168620
19 1.0852921113000000E+11
20 7.9108504310700000E+11
21 5.8588250566000000E+12
22 4.4019247715761000E+13
23 3.3507790734468300E+14
24 2.5812045389866200E+15
25 2.0101936981555100E+16
26 1.5812860942427700E+17
27 1.2554597066255500E+18
28 1.0053457549552100E+19
29 8.1148665241035800E+19
30 6.5987449057627500E+20
31 5.4030648618825700E+21
32 4.4527028569328700E+22
33 3.6917820988674400E+23
34 3.0783458557594600E+24
35 2.5806085632822500E+25
36 2.1742883001784100E+26

独舟星海 · 发表于 2021-10-5 06:57

10^n 两组三生差等于240的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 1 2 -1 -5.000000000000E-01
4 4 3 1 3.333333333333E-01
5 11 12 -1 -8.333333333333E-02
6 31 31 0 0.000000000000E+00
7 110 123 -13 -1.056910569106E-01
8 444 452 -8 -1.769911504425E-02
9 2037 2065 -28 -1.355932203390E-02
10 10288 10292 -4 -3.886513797124E-04
11 55891
12 321829
13 1943483
14 12213115
15 79391665
16 531367188
17 3648012469
18 25611211502
19 1.8340703756500000E+11
20 1.3368802989260000E+12
21 9.9010186847410000E+12
22 7.4389555911219000E+13
23 5.6625903477461600E+14
24 4.3620613557756600E+15
25 3.3970915965421600E+16
26 2.6722667111184600E+17
27 2.1216421199053100E+18
28 1.6989664323947600E+19
29 1.3713576408775000E+20
30 1.1151433261212900E+21
31 9.1308147342791900E+21
32 7.5247671262054300E+22
33 6.2388624319312400E+23
34 5.2021966079419300E+24
35 4.3610541970829900E+25
36 3.6744003922474700E+26

独舟星海 · 发表于 2021-10-5 06:58

10^n 两组三生差等于246的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 0 1 -1 -1.000000000000E+00
4 2 4 -2 -5.000000000000E-01
5 4 5 -1 -2.000000000000E-01
6 13 11 2 1.818181818182E-01
7 47 42 5 1.190476190476E-01
8 191 174 17 9.770114942529E-02
9 880 899 -19 -2.113459399333E-02
10 4445 4447 -2 -4.497413986958E-04
11 24150
12 139063
13 839782
14 5277308
15 34305278
16 229604700
17 1576312630
18 11066649722
19 79250504850
20 5.7766833825400000E+11
21 4.2782476600440000E+12
22 3.2143858489969000E+13
23 2.4468152900636900E+14
24 1.8848544157456100E+15
25 1.4678892785303800E+16
26 1.1546911654125500E+17
27 9.1676530708135800E+17
28 7.3412639601292100E+18
29 5.9256605860253900E+19
30 4.8185540069167800E+20
31 3.9454411727780200E+21
32 3.2514651648598100E+22
33 2.6958234754045400E+23
34 2.2478783419846200E+24
35 1.8844192206957400E+25
36 1.5877148989146900E+26

独舟星海 · 发表于 2021-10-5 06:58

10^n 两组三生差等于264的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 0 0 0 #DIV/0!
4 3 2 1 5.000000000000E-01
5 7 10 -3 -3.000000000000E-01
6 20 23 -3 -1.304347826087E-01
7 71 76 -5 -6.578947368421E-02
8 288 299 -11 -3.678929765886E-02
9 1322 1308 14 1.070336391437E-02
10 6677 6651 26 3.909186588483E-03
11 36272
12 208860
13 1261282
14 7926069
15 51523617
16 344846777
17 2367487815
18 16621168837
19 1.1902753358700000E+11
20 8.6760882676400000E+11
21 6.4255649602570000E+12
22 4.8277347926722000E+13
23 3.6749089443537500E+14
24 2.8308913955854500E+15
25 2.2046451405213700E+16
26 1.7342481506360000E+17
27 1.3769037003111100E+18
28 1.1025955534730400E+19
29 8.8998393860054800E+19
30 7.2370592462699500E+20
31 5.9257178562449300E+21
32 4.8834247787813000E+22
33 4.0488981094707400E+23
34 3.3761225288744000E+24
35 2.8302377695484600E+25
36 2.3846130546917800E+26

独舟星海 · 发表于 2021-10-5 06:58

10^n 两组三生差等于270的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 0 3 -3 -1.000000000000E+00
4 4 6 -2 -3.333333333333E-01
5 10 12 -2 -1.666666666667E-01
6 30 40 -10 -2.500000000000E-01
7 105 106 -1 -9.433962264151E-03
8 425 460 -35 -7.608695652174E-02
9 1951 2019 -68 -3.368003962358E-02
10 9852 9779 73 7.464975968913E-03
11 53524
12 308197
13 1861161
14 11695790
15 76028782
16 508859468
17 3493489483
18 24526368474
19 1.7563825841500000E+11
20 1.2802525493600000E+12
21 9.4816300476470000E+12
22 7.1238553427427000E+13
23 5.4227336093656200E+14
24 4.1772925935732800E+15
25 3.2531971488975700E+16
26 2.5590744902355100E+17
27 2.0317733270667400E+18
28 1.6270013912975400E+19
29 1.3132694955775200E+20
30 1.0679079400869200E+21
31 8.7440504962846600E+21
32 7.2060320616632500E+22
33 5.9745958856635000E+23
34 4.9818412874671000E+24
35 4.1763280962395000E+25
36 3.5187596625698500E+26

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[原创]k生素数群的数量公式

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