[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-10-5 09:01

序11 1 2 3 4 5 6 8 11 mod(n,15)
mod(n,15) at b 100周 101周 102周 103周 104周 105周
1→→→ 3 -3 297 300 303 306 309 312
2→→→ 3 -2 298 301 304 307 310 313
3→→→ 2 0 200 202 204 206 208 210
4→→→ 5 -2 498 503 508 513 518 523
5→→→ 4 0 400 404 408 412 416 420
6→→→ 5 0 500 505 510 515 520 525
7→→→ 7 -1 699 706 713 720 727 734
8→→→ 5 0 500 505 510 515 520 525
9→→→ 6 0 600 606 612 618 624 630
10→→→ 5 0 500 505 510 515 520 525
11→→→ 4 0 400 404 408 412 416 420
12→→→ 5 0 500 505 510 515 520 525
13→→→ 4 0 400 404 408 412 416 420
14→→→ 4 0 400 404 408 412 416 420
15→→0 2 0 200 202 204 206 208 210
一周汇总 64 -8 6392 6456 6520 6584 6648 6712

x+y=N 正整数解组数系数及 a,b值

独木星空谁 · 发表于 2021-10-5 09:02

mod(n,15) 2at^2 2bt c 10周 11周 12周 13周 14周
1→→→ 33 -33 0 1485 1815 2178 2574 3003
2→→→ 33 -33 0 1485 1815 2178 2574 3003
3→→→ 33 -33 1 1486 1816 2179 2575 3004
4→→→ 27 -21 0 1245 1518 1818 2145 2499
5→→→ 30 -18 0 1410 1716 2052 2418 2814
6→→→ 28 -8 0 1360 1650 1968 2314 2688
7→→→ 30 0 0 1500 1815 2160 2535 2940
8→→→ 33 9 0 1695 2046 2430 2847 3297
9→→→ 35 15 0 1825 2200 2610 3055 3535
10→→→ 39 21 0 2055 2475 2934 3432 3969
11→→→ 36 30 0 1950 2343 2772 3237 3738
12→→→ 40 28 0 2140 2574 3048 3562 4116
13→→→ 39 33 0 2115 2541 3006 3510 4053
14→→→ 36 36 0 1980 2376 2808 3276 3780
15→→0同 40 34 0 2170 2607 3084 3601 4158
一周汇总 512 60 1 25901 31307 37225 43655 50597
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 2021-10-5 09:02

mod(n,15) 6at^3 6bt^2 6ct d 5周 6周 7周
1→→→ 293 -180 -113 0 5260 9355 15148
2→→→ 287 -129 -158 0 5310 9400 15169
3→→→ 290 -108 -182 0 5440 9610 15484
4→→→ 283 -63 -214 0 5455 9596 15414
5→→→ 277 -48 -205 0 5400 9479 15204
6→→→ 274 -18 -196 0 5470 9560 15288
7→→→ 256 48 -184 0 5380 9320 14812
8→→→ 261 75 -126 0 5645 9720 15386
9→→→ 253 156 -73 0 5860 9971 15652
10→→→ 252 240 -12 0 6240 10500 16352
11→→→ 268 312 68 0 6940 11588 17948
12→→→ 261 411 150 0 7275 12012 18452
13→→→ 276 492 216 0 7980 13104 20048
14→→→ 283 567 290 0 8500 13880 21147
15→→0同 282 636 354 0 8820 14322 21728
一周汇总 4096 2391 -385 0 94975 161417 253232
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 09:03

mod(n,15) 24at^4 24bt^3 24ct^2 24dt 6e 6周 7周 8周
1→→→ 2160 -740 -1740 320 0 107450 202055 348320
2→→→ 2190 -40 -1890 -260 0 115000 214585 367780
3→→→ 2190 720 -2130 -780 0 121350 224805 383180
4→→→ 2240 1220 -2060 -1400 0 128500 236915 402360
5→→→ 2232 1868 -2160 -1916 0 133621 245021 414380
6→→→ 2240 2360 -2180 -2300 0 138355 252700 426060
7→→→ 2255 2750 -2015 -2630 0 142840 260015 437270
8→→→ 2210 3220 -1790 -2800 0 144935 262640 440160
9→→→ 2210 3580 -1370 -2740 0 148820 268660 448980
10→→→ 2174 4000 -650 -2500 0 151796 272601 453796
11→→→ 2145 4470 315 -2010 0 156030 278530 461610
12→→→ 2140 5040 1580 -1320 0 162960 288960 476520
13→→→ 2115 5650 3165 -370 0 169715 298690 489810
14→→→ 2135 6350 4945 730 0 180040 314650 513270
15→→0同 2132 7148 6940 1924 0 190351 330176 535500
一周汇总 32768 47596 -1040 -18052 0 2191763 3951003 6598996
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 09:03

mod(n,15) 120at^5 120bt^4 120ct^3 120dt^2 120et 6f 10周 11周
1→→→ 17283 3975 -44985 -4335 28062 0 14357601 23179596
2→→→ 17277 9930 -40125 -9930 22848 0 14884254 23945889
3→→→ 17301 16195 -33235 -16555 16294 0 15477687 24811622
4→→→ 17277 22980 -25425 -22980 8148 0 16082154 25686639
5→→→ 17397 29505 -16275 -29505 -1122 0 16795944 26737854
6→→→ 17433 36260 -6245 -36260 -11068 0 17465986 27713862
7→→→ 17532 42690 4140 -42330 -21312 0 18164949 28739370
8→→→ 17619 49020 14565 -47760 -30924 0 18846498 29737719
9→→→ 17642 54840 25590 -51480 -39872 0 19438694 30596390
10→→→ 17712 60240 36840 -52680 -46992 0 20039184 31472100
11→→→ 17643 65505 48855 -50385 -51378 0 20522106 32157048
12→→→ 17634 70160 62390 -42800 -52664 0 21021528 32870574
13→→→ 17556 75000 78180 -29280 -50016 0 21502932 33545424
14→→→ 17424 79860 96540 -8400 -42504 0 21968958 34186614
15→→0同 17414 84860 118190 20500 -30244 0 22582813 35053634
一周汇总 262144 701020 319000 -424180 -302744 0 279151288 440434335
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 10:15

10^n 两组三生差等于276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 1 1 0 0.000000000000E+00
5 4 3 1 3.333333333333E-01
6 13 10 3 3.000000000000E-01
7 46 41 5 1.219512195122E-01
8 185 178 7 3.932584269663E-02
9 851 873 -22 -2.520045819015E-02
10 4301 4195 106 2.526817640048E-02
11 23365
12 134538
13 812460
14 5105612
15 33189166
16 222134575
17 1525027735
18 10706599335
19 76672111598
20 5.5887405867200000E+11
21 4.1390560559340000E+12
22 3.1098066946088000E+13
23 2.3672088314742100E+14
24 1.8235311987444900E+15
25 1.4201319069217500E+16
26 1.1171236077729000E+17
27 8.8693860142408800E+17
28 7.1024179680309600E+18
29 5.7328708580993300E+19
30 4.6617836852784900E+20
31 3.8170773356655800E+21
32 3.1456796451875000E+22
33 2.6081156043891800E+23
34 2.1747442419681400E+24
35 1.8231101626451800E+25
36 1.5360590338947200E+26

独舟星海 · 发表于 2021-10-5 10:16

10^n 两组三生差等于294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 3 3 0 0.000000000000E+00
5 7 7 0 0.000000000000E+00
6 22 17 5 2.941176470588E-01
7 76 73 3 4.109589041096E-02
8 306 316 -10 -3.164556962025E-02
9 1405 1400 5 3.571428571429E-03
10 7094 7189 -95 -1.321463346780E-02
11 38542
12 221931
13 1340212
14 8422078
15 54747933
16 366427070
17 2515643703
18 17661311051
19 1.2647620121700000E+11
20 9.2190323738200000E+11
21 6.8276727439080000E+12
22 5.1298513769014000E+13
23 3.9048824174837300E+14
24 3.0080467853256000E+15
25 2.3426104364408200E+16
26 1.8427763009956900E+17
27 1.4630694614009400E+18
28 1.1715952845492200E+19
29 9.4567856953945300E+19
30 7.6899498281357300E+20
31 6.2965455248549900E+21
32 5.1890264070531500E+22
33 4.3022755875753400E+23
34 3.5873981374498200E+24
35 3.0073522557853800E+25
36 2.5338406286432700E+26

独舟星海 · 发表于 2021-10-5 10:16

10^n 两组三生差等于300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 8 5 3 6.000000000000E-01
6 24 20 4 2.000000000000E-01
7 84 83 1 1.204819277108E-02
8 342 346 -4 -1.156069364162E-02
9 1569 1499 70 4.669779853235E-02
10 7924 7839 85 1.084321979844E-02
11 43050
12 247890
13 1496974
14 9407188
15 61151668
16 409287171
17 2809892551
18 19727112510
19 1.4126982102500000E+11
20 1.0297360617590000E+12
21 7.6262893514280000E+12
22 5.7298778657745000E+13
23 4.3616272068114100E+14
24 3.3598908483119300E+15
25 2.6166199957244200E+16
26 2.0583214527799700E+17
27 1.6342012091655700E+18
28 1.3086339925581500E+19
29 1.0562923378521900E+20
30 8.5894249310136400E+20
31 7.0330374474710100E+21
32 5.7959744581631100E+22
33 4.8055025088466400E+23
34 4.0070075472460600E+24
35 3.3591150813067700E+25
36 2.8302179277234800E+26

独舟星海 · 发表于 2021-10-5 10:16

10^n 两组三生差等于306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 4 -2 -5.000000000000E-01
5 6 9 -3 -3.333333333333E-01
6 19 21 -2 -9.523809523810E-02
7 67 75 -8 -1.066666666667E-01
8 273 290 -17 -5.862068965517E-02
9 1256 1295 -39 -3.011583011583E-02
10 6343 6336 7 1.104797979798E-03
11 34458
12 198411
13 1198182
14 7529539
15 48945965
16 327594589
17 2249045803
18 15789635650
19 1.1307275716400000E+11
20 8.2420360421000000E+11
21 6.1041031810200000E+12
22 4.5862101600933000E+13
23 3.4910585319629900E+14
24 2.6892659680190000E+15
25 2.0943499129667100E+16
26 1.6474862083646800E+17
27 1.3080191872639200E+18
28 1.0474342827379700E+19
29 8.4545932136227200E+19
30 6.8749995742970200E+20
31 5.6292627091709300E+21
32 4.6391140562428100E+22
33 3.8463375566989300E+23
34 3.2072199713922700E+24
35 2.6886450419531600E+25
36 2.2653142910663400E+26

独舟星海 · 发表于 2021-10-5 10:17

10^n 两组三生差等于324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 1 1 0 0.000000000000E+00
5 4 3 1 3.333333333333E-01
6 13 11 2 1.818181818182E-01
7 46 61 -15 -2.459016393443E-01
8 186 207 -21 -1.014492753623E-01
9 857 853 4 4.689331770223E-03
10 4328 4257 71 1.667841202725E-02
11 23513
12 135393
13 817620
14 5138035
15 33399931
16 223545226
17 1534712324
18 10774590891
19 77159012809
20 5.6242315168700000E+11
21 4.1653408596550000E+12
22 3.1295553178396000E+13
23 2.3822416357326300E+14
24 1.8351114138929600E+15
25 1.4291503613538300E+16
26 1.1242178278961100E+17
27 8.9257104677794200E+17
28 7.1475214070073800E+18
29 5.7692770780756700E+19
30 4.6913880364891200E+20
31 3.8413174346646000E+21
32 3.1656560772356700E+22
33 2.6246782712915700E+23
34 2.1885548124877100E+24
35 1.8346877040315500E+25
36 1.5458136759351200E+26

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[原创]k生素数群的数量公式

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