[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-10-7 16:45

mod(n,15) 2at^2 2bt c 10周 11周 12周 13周 14周
1→→→ 30 -30 0 1350 1650 1980 2340 2730
2→→→ 36 -42 3 1593 1950 2343 2772 3237
3→→→ 32 -30 0 1450 1771 2124 2509 2926
4→→→ 36 -36 3 1623 1983 2379 2811 3279
5→→→ 30 -18 0 1410 1716 2052 2418 2814
6→→→ 32 -14 1 1531 1860 2221 2614 3039
7→→→ 30 0 0 1500 1815 2160 2535 2940
8→→→ 36 6 0 1830 2211 2628 3081 3570
9→→→ 37 13 0 1915 2310 2742 3211 3717
10→→→ 39 15 0 2025 2442 2898 3393 3927
11→→→ 39 15 0 2025 2442 2898 3393 3927
12→→→ 37 19 0 1945 2343 2778 3250 3759
13→→→ 36 18 0 1890 2277 2700 3159 3654
14→→→ 30 24 0 1620 1947 2304 2691 3108
15→→0同 32 24 0 1720 2068 2448 2860 3304
一周汇总 512 -36 7 25427 30785 36655 43037 49931
x+y+z=N 正整数解组数及系数 a,b,c 的值

独木星空谁 · 发表于 2021-10-7 16:45

mod(n,15) 6at^3 6bt^2 6ct d 5周 6周 7周
1→→→ 281 -324 67 -4 4556 8235 13492
2→→→ 264 -228 -36 0 4520 8100 13188
3→→→ 269 -198 -65 -1 4724 8430 13684
4→→→ 263 -135 -122 0 4815 8536 13790
5→→→ 271 -108 -139 0 5080 8969 14448
6→→→ 272 -72 -140 0 5250 9220 14798
7→→→ 272 -24 -128 0 5460 9520 15204
8→→→ 271 21 -82 0 5665 9800 15568
9→→→ 263 120 -47 0 5940 10141 15960
10→→→ 269 189 22 0 6410 10840 16947
11→→→ 264 300 60 0 6800 11364 17612
12→→→ 281 351 118 0 7415 12340 19068
13→→→ 280 432 152 0 7760 12824 19712
14→→→ 296 456 196 0 8230 13588 20874
15→→0同 280 504 224 0 8120 13328 20384
一周汇总 4096 1284 80 -5 90745 155235 244729
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 2021-10-7 16:46

mod(n,15) 24at^4 24bt^3 24ct^2 24dt 6e 6周 7周 8周
1→→→ 2205 -1710 -825 330 0 102525 194565 337750
2→→→ 2225 -1210 -1145 130 0 107575 203000 350910
3→→→ 2225 -750 -1265 -210 0 111450 209230 360290
4→→→ 2205 -170 -1545 -490 0 115100 214865 368410
5→→→ 2193 302 -1509 -962 0 118636 220346 376370
6→→→ 2155 990 -1795 -1230 0 122280 225715 383710
7→→→ 2170 1440 -1630 -1620 0 127290 233870 396180
8→→→ 2155 2090 -1675 -1730 0 132235 241535 407330
9→→→ 2195 2470 -1175 -1810 0 138545 251965 423570
10→→→ 2172 3088 -660 -1576 0 143696 259616 434280
11→→→ 2195 3550 385 -1210 0 150755 270760 450970
12→→→ 2155 4270 1505 -610 0 156905 279510 462690
13→→→ 2170 4920 2930 60 0 165870 293405 483140
14→→→ 2155 5710 4385 830 0 174545 306390 501570
15→→0同 2193 6442 5871 1598 0 185606 323911 527890
一周汇总 32768 31432 1852 -8500 0 2053013 3728683 6265060
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 2021-10-7 16:47

mod(n,15) 120at^5 120bt^4 120ct^3 120dt^2 120et 6f 10周 11周
1→→→ 17400 -7500 -24540 1740 12900 0 13673025 22168080
2→→→ 17436 -1410 -23280 -4710 11964 0 14215572 22966812
3→→→ 17413 5495 -23915 -7655 8662 0 14763801 23768096
4→→→ 17538 11070 -20490 -14130 6012 0 15355476 24647271
5→→→ 17535 17325 -18465 -17685 1290 0 15887745 25424850
6→→→ 17636 22330 -12620 -23830 -3396 0 16432192 26229258
7→→→ 17535 28215 -7605 -27855 -9570 0 16876365 26862726
8→→→ 17538 33360 270 -33000 -15648 0 17368446 27576087
9→→→ 17413 39335 7945 -35975 -21998 0 17823146 28218872
10→→→ 17436 44880 17580 -37680 -27096 0 18382842 29030958
11→→→ 17400 50700 28260 -35580 -30540 0 18928305 29812992
12→→→ 17460 56260 41000 -28960 -31040 0 19553280 30719821
13→→→ 17472 61740 56340 -16380 -28452 0 20158479 31587600
14→→→ 17472 67440 74340 2220 -22152 0 20799504 32502030
15→→0同 17460 73100 95660 27220 -12800 0 21460450 33439032
一周汇总 262144 502340 190480 -252260 -161864 0 261678628 414954485
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 2021-10-7 17:58

10^n 两组三生差等于714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 3 3 0 0.000000000000E+00
5 9 10 -1 -1.000000000000E-01
6 26 34 -8 -2.352941176471E-01
7 92 108 -16 -1.481481481481E-01
8 374 388 -14 -3.608247422680E-02
9 1715 1711 4 2.337814143776E-03
10 8662 8494 168 1.977866729456E-02
11 47057
12 270958
13 1636282
14 10282618
15 66842423
16 447375308
17 3071380277
18 21562911463
19 1.5441634662100000E+11
20 1.1255629793200000E+12
21 8.3359894659590000E+12
22 6.2630985174181000E+13
23 4.7675188777899800E+14
24 3.6725612454052900E+15
25 2.8601218385050100E+16
26 2.2498682068389200E+17
27 1.7862794652961100E+18
28 1.4304150647940500E+19
29 1.1545905742037800E+20
30 9.3887541429530500E+20
31 7.6875297243787700E+21
32 6.3353460381319400E+22
33 5.2527010773445100E+23
34 4.3798984230264300E+24
35 3.6717132857639600E+25
36 3.0935971276063100E+26

独舟星海 · 发表于 2021-10-7 17:58

10^n 两组三生差等于720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 4 5 -1 -2.000000000000E-01
5 10 6 4 6.666666666667E-01
6 28 22 6 2.727272727273E-01
7 98 112 -14 -1.250000000000E-01
8 397 410 -13 -3.170731707317E-02
9 1825 1765 60 3.399433427762E-02
10 9216 9175 41 4.468664850136E-03
11 50069
12 288301
13 1741014
14 10940768
15 71120743
16 476010033
17 3267967187
18 22943068184
19 1.6429992653900000E+11
20 1.1976058161210000E+12
21 8.8695431983690000E+12
22 6.6639746946327000E+13
23 5.0726689145029400E+14
24 3.9076273725866300E+15
25 3.0431869309347900E+16
26 2.3938733767218500E+17
27 1.9006121524626000E+18
28 1.5219702784650700E+19
29 1.2284913526040600E+20
30 9.9896911806138600E+20
31 8.1795781121795100E+21
32 6.7408464935431300E+22
33 5.5889057086593400E+23
34 4.6602384067466700E+24
35 3.9067251384007600E+25
36 3.2916060503317000E+26

独舟星海 · 发表于 2021-10-7 17:59

10^n 两组三生差等于726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 2 1 1 1.000000000000E+00
5 7 3 4 1.333333333333E+00
6 20 16 4 2.500000000000E-01
7 70 70 0 0.000000000000E+00
8 284 276 8 2.898550724638E-02
9 1306 1319 -13 -9.855951478393E-03
10 6595 6516 79 1.212400245549E-02
11 35826
12 206294
13 1245782
14 7828664
15 50890434
16 340608890
17 2338393311
18 16416908156
19 1.1756478176500000E+11
20 8.5694661816700000E+11
21 6.3465999799080000E+12
22 4.7684058487748000E+13
23 3.6297472948533200E+14
24 2.7961020370143600E+15
25 2.1775518403561900E+16
26 1.7129356478470100E+17
27 1.3599826709057900E+18
28 1.0890455486482400E+19
29 8.7904675803234800E+19
30 7.1481216595044200E+20
31 5.8528955912815100E+21
32 4.8234114501354500E+22
33 3.9991404365455900E+23
34 3.3346327220170600E+24
35 2.7954564435110800E+25
36 2.3553080948680500E+26

独舟星海 · 发表于 2021-10-7 17:59

10^n 两组三生差等于744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 1 1 1.000000000000E+00
5 5 5 0 0.000000000000E+00
6 15 16 -1 -6.250000000000E-02
7 55 49 6 1.224489795918E-01
8 221 227 -6 -2.643171806167E-02
9 1017 1048 -31 -2.958015267176E-02
10 5137 5091 46 9.035552936555E-03
11 27907
12 160691
13 970392
14 6098074
15 39640687
16 265314511
17 1821472357
18 12787816429
19 91576125868
20 6.6751156417400000E+11
21 4.9436321819350000E+12
22 3.7143107624807000E+13
23 2.8273619884564000E+14
24 2.1780008284624600E+15
25 1.6961862083473700E+16
26 1.3342772226214400E+17
27 1.0593473860096400E+18
28 8.4830312906676100E+18
29 6.8472628749129600E+19
30 5.5679709432117300E+20
31 4.5590651835893400E+21
32 3.7571569260855200E+22
33 3.1150977570312800E+23
34 2.5974849039938300E+24
35 2.1774979486796900E+25
36 1.8346479899512400E+26

独舟星海 · 发表于 2021-10-7 17:59

10^n 两组三生差等于750的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 1 1 0 0.000000000000E+00
4 4 4 0 0.000000000000E+00
5 11 11 0 0.000000000000E+00
6 33 37 -4 -1.081081081081E-01
7 115 125 -10 -8.000000000000E-02
8 464 479 -15 -3.131524008351E-02
9 2128 2076 52 2.504816955684E-02
10 10748 10547 201 1.905755191050E-02
11 58389
12 336210
13 2030332
14 12758884
15 82939451
16 555112469
17 3811031716
18 26755703316
19 1.9160297367400000E+11
20 1.3966216570580000E+12
21 1.0343466900632000E+13
22 7.7713812469234000E+13
23 5.9156353198295200E+14
24 4.5569894056985100E+15
25 3.5488979069798900E+16
26 2.7916826698560400E+17
27 2.2164522400150900E+18
28 1.7748883845499200E+19
29 1.4326396928433900E+20
30 1.1649758929322800E+21
31 9.5388447378010900E+21
32 7.8610274541562700E+22
33 6.5176593557716300E+23
34 5.4346679001576400E+24
35 4.5559372399635500E+25
36 3.8385988398800900E+26

独舟星海 · 发表于 2021-10-7 18:00

10^n 两组三生差等于756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 3 2 1 5.000000000000E-01
5 9 8 1 1.250000000000E-01
6 26 27 -1 -3.703703703704E-02
7 91 100 -9 -9.000000000000E-02
8 370 403 -33 -8.188585607940E-02
9 1697 1707 -10 -5.858230814294E-03
10 8572 8562 10 1.167951413221E-03
11 46566 都是青蛙蝌蚪
12 268132
13 1619213
14 10175358
15 66145175
16 442708638
17 3039342035
18 21337983995
19 1.5280559577800000E+11
20 1.1138219845490000E+12
21 8.2490349280780000E+12
22 6.1977667605208000E+13
23 4.7177878407544200E+14
24 3.6342519520406700E+15
25 2.8302872791203500E+16
26 2.2263993371841600E+17
27 1.7676463916740300E+18
28 1.4154940909317600E+19
29 1.1425467862128900E+20
30 9.2908179853898100E+20
31 7.6073394125551300E+21
32 6.2692606514703000E+22
33 5.1979089981707700E+23
34 4.3342107401307800E+24
35 3.6334128376526900E+25
36 3.0613271361768400E+26

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