[原创]k生素数群的数量公式

白新岭 · 发表于 2021-11-28 16:36

组合198 1 2 3 4 6 11 13 14 mod(n,15)
mod(n,15) at b 100周 101周 102周 103周 104周 105周
1→→→ 4 -4 396 400 404 408 412 416
2→→→ 7 -6 694 701 708 715 722 729
3→→→ 4 -2 398 402 406 410 414 418
4→→→ 5 -2 498 503 508 513 518 523
5→→→ 6 -2 598 604 610 616 622 628
6→→→ 3 0 300 303 306 309 312 315
7→→→ 5 -1 499 504 509 514 519 524
8→→→ 3 0 300 303 306 309 312 315
9→→→ 4 -2 398 402 406 410 414 418
10→→→ 4 -2 398 402 406 410 414 418
11→→→ 1 -1 99 100 101 102 103 104
12→→→ 5 -2 498 503 508 513 518 523
13→→→ 3 -1 299 302 305 308 311 314
14→→→ 4 0 400 404 408 412 416 420
15→→0 6 0 600 606 612 618 624 630
一周汇总 64 -25 6375 6439 6503 6567 6631 6695

x+y=N 正整数解组数系数及 a,b值

白新岭 · 发表于 2021-11-28 16:36

mod(n,15) 2at^2 2bt c 10周 11周 12周 13周 14周
1→→→ 39 -69 15 1620 1995 2409 2862 3354
2→→→ 30 -42 6 1296 1590 1914 2268 2652
3→→→ 42 -54 7 1837 2251 2707 3205 3745
4→→→ 36 -36 3 1623 1983 2379 2811 3279
5→→→ 36 -30 3 1653 2016 2415 2850 3321
6→→→ 40 -26 3 1873 2280 2727 3214 3741
7→→→ 30 -12 3 1443 1752 2091 2460 2859
8→→→ 39 -21 6 1851 2250 2688 3165 3681
9→→→ 29 -5 4 1429 1731 2062 2422 2811
10→→→ 30 -6 3 1473 1785 2127 2499 2901
11→→→ 36 -12 3 1743 2115 2523 2967 3447
12→→→ 26 -8 1 1261 1530 1825 2146 2493
13→→→ 36 -12 0 1740 2112 2520 2964 3444
14→→→ 30 -6 0 1470 1782 2124 2496 2898
15→→0同 33 -3 0 1635 1980 2358 2769 3213
一周汇总 512 -342 57 23947 29152 34869 41098 47839
x+y+z=N 正整数解组数及系数 a,b,c 的值

白新岭 · 发表于 2021-11-28 16:37

mod(n,15) 6at^3 6bt^2 6ct d 5周 6周 7周
1→→→ 263 -636 493 -20 3220 6125 10396
2→→→ 292 -648 452 -16 3744 7060 11912
3→→→ 260 -492 292 -10 3600 6690 11176
4→→→ 295 -495 278 -12 4303 7916 13134
5→→→ 276 -348 156 -10 4420 7994 13108
6→→→ 276 -288 144 -12 4658 8340 13582
7→→→ 297 -246 147 -13 5272 9350 15128
8→→→ 257 -117 94 -8 4937 8636 13838
9→→→ 289 -132 143 -6 5584 9749 15604
10→→→ 266 -66 160 -4 5396 9336 14850
11→→→ 259 -42 173 -1 5364 9244 14664
12→→→ 279 -15 162 0 5885 10116 16016
13→→→ 244 36 128 0 5340 9128 14392
14→→→ 281 45 82 0 6110 10468 16527
15→→0同 262 108 38 0 5940 10118 15904
一周汇总 4096 -3336 2942 -112 73773 130270 210231
x+y+z+u=N 正整数解组数及a,b c,d 的值

白新岭 · 发表于 2021-11-28 16:37

mod(n,15) 24at^4 24bt^3 24ct^2 24dt 6e 6周 7周
1→→→ 2160 -6160 7860 -4820 240 71825 142735
2→→→ 2140 -5580 6380 -3780 210 74000 146300
3→→→ 2245 -5250 5195 -3030 210 81050 159320
4→→→ 2130 -4180 3390 -2060 180 82000 159700
5→→→ 2253 -3922 3015 -2066 186 90401 174926
6→→→ 2205 -2990 2115 -1810 150 94905 181675
7→→→ 2175 -2270 1785 -1690 90 99290 188315
8→→→ 2270 -1780 1930 -1820 60 109010 205075
9→→→ 2135 -890 1885 -1690 30 109690 204230
10→→→ 2233 -530 2147 -1330 6 118701 219815
11→→→ 2170 160 2150 -760 0 121655 223545
12→→→ 2135 570 2245 -30 0 123780 226310
13→→→ 2225 950 2335 610 0 132355 241115
14→→→ 2090 1500 2290 1080 0 130065 235515
15→→0同 2202 1888 2250 1244 0 139586 252231
一周汇总 32768 -28484 46972 -21952 1362 1578313 2960807
x+y+z+u+v=N 的正整数解组数，及系数 a,b,c,d,e 的值

白新岭 · 发表于 2021-11-28 16:38

mod(n,15) 120at^5 120bt^4 120ct^3 120dt^2 120et 6f 10周
1→→→ 17523 -56775 98235 -95865 49122 -612 10613979
2→→→ 17427 -50370 79425 -71130 35448 -540 10930464
3→→→ 17285 -44405 64185 -54835 26890 -456 11195094
4→→→ 17700 -40080 53460 -47760 24600 -396 11817684
5→→→ 17280 -32100 39000 -39900 21120 -270 12018465
6→→→ 17648 -27310 32300 -38690 19292 -156 12669340
7→→→ 17568 -20220 25200 -37380 17352 -90 13135281
8→→→ 17406 -13740 22050 -34860 12384 -36 13515726
9→→→ 17776 -8240 22100 -30760 5964 -6 14285696
10→→→ 17310 -1050 22650 -23250 -1260 0 14506770
11→→→ 17628 3780 26700 -14580 -6888 0 15214776
12→→→ 17488 9970 30400 -4870 -9068 0 15652686
13→→→ 17280 15300 34200 6300 -7560 0 15964620
14→→→ 17640 20400 38100 16500 -1920 0 16731090
15→→0同 17185 25925 42125 25675 5490 0 16854145
一周汇总 262144 -218915 630130 -445405 190966 -2562 205105816
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 2021-11-28 22:45

截止2021年11月27日周六22:41分浏览量80066,,回复6594热度152度。参照浏览量73563，差距 6503
截止2021年11月28日周日22:49分浏览量80329,,回复6600热度152度。参照浏览量73611，差距 6718
浏览量 ↑ 263, 回复↑ 6热度↑ 。参照浏览量↑ 48, 差距 ↑215
晚安！

独舟星海 · 发表于 2021-11-28 22:54

截止2021年11月27日周六22:41分浏览量80066,,回复6594热度152度。参照浏览量73563，差距 6503
截止2021年11月28日周日22:52分浏览量80330,,回复6601热度151度。参照浏览量73611，差距 6719
浏览量 ↑ 264, 回复↑ 7热度↑ 1 。参照浏览量↑ 48, 差距 ↑216
晚安！
前后脚的功夫，热度上升了1度。

白新岭 · 发表于 2021-11-29 07:45

针对素53 针对素53 针对素53 针对素53
统计4+44 统计4+45 统计4+46 统计4+47
638352709569 638352574769 638352681135 638352840831
626073580698 626070693386 626083214264 626049068626
626089620566 626098038609 626101024453 626094466884
626078439561 626086127889 626069168530 626081768537
626073528687 626093777610 626074922136 626057915923
626086069879 626086509328 626101866524 626088159589
626049496221 626077099543 626064703812 626064316171
626084699789 626089213220 626074420672 626069692960
626074150910 626052605395 626050256388 626058172753
626078240715 626076299597 626078811276 626074076009
626088913045 626088514013 626041113833 626073827720
626081662701 626081525456 626083977423 626075240412
626053537810 626043822504 626036435705 626057051106
626059710944 626079853562 626078205729 626073567218
626113439606 626071980185 626096244091 626086222253
626058138741 626066390967 626069209891 626051183316
626101265364 626087939784 626080271152 626090334944
626056099682 626038278307 626035616956 626051363552
626070078552 626070993749 626082534479 626088363339
626089797298 626058673173 626061062986 626094153216
626096955571 626087678976 626102335926 626082478215
626070303933 626087042073 626098850547 626081763754
626074949268 626061397693 626086068248 626058798558
626066096297 626062695857 626091369336 626099181835
626085297799 626101340576 626088994299 626075868358
626103375354 626112525650 626104232626 626096868024
626046767392 626084722891 626076571700 626059834148
626070021060 626037996846 626048405688 626069004062
626042471779 626075491089 626067183668 626086327467
626049970946 626049847122 626075143936 626080708072
626066725742 626088603777 626089628769 626067092692
626072460534 626061704597 626064130763 626064121802
626055338429 626077656952 626060437111 626099915407
626059213989 626062005409 626079705001 626049960853
626093339609 626095879656 626079796720 626105679435
626078816920 626104463251 626087627140 626073962574
626080393922 626104438526 626100796477 626080060688
626060236113 626054670223 626061034094 626050172483
626083296137 626100658919 626091527226 626083628128
626071408321 626084931421 626062970957 626053150759
626081541911 626084145572 626070672604 626095640354
626105129084 626091985183 626088648579 626080112475
626084280135 626075730451 626065102536 626088455485
626068299552 626078637424 626081316089 626066425686
626082966469 626061754784 626076230970 626074501101
626070760498 626082235064 626084897936 626086700630
626063143316 626053614326 626057805627 626070485459
626078880430 626056540323 626069106097 626068887991
626112106388 626089847883 626085657736 626096351433
626066120198 626076802252 626088390888 626082774565
626094229879 626077849805 626088316066 626089573211
626108980494 626092602886 626094372892 626102531352
626095136309 626063785613 626069124429 626099391701

白新岭 · 发表于 2021-11-29 07:46

数据分析素数53 素数53 素数53 素数53 素数53
素数53 统计4+44 理论占比实际占比占比绝对误差相对误差
0 638352709569 1.923077% 1.92308% 0.000001% 0.00003%
1 626073580698 1.886095% 1.88608% 0.000010% 0.00053%
2 626089620566 1.886095% 1.88613% -0.000038% -0.00203%
3 626078439561 1.886095% 1.88610% -0.000005% -0.00024%
4 626073528687 1.886095% 1.88608% 0.000010% 0.00054%
5 626086069879 1.886095% 1.88612% -0.000028% -0.00146%
6 626049496221 1.886095% 1.88601% 0.000083% 0.00438%
7 626084699789 1.886095% 1.88612% -0.000023% -0.00124%
8 626074150910 1.886095% 1.88609% 0.000008% 0.00044%
9 626078240715 1.886095% 1.88610% -0.000004% -0.00021%
10 626088913045 1.886095% 1.88613% -0.000036% -0.00192%
11 626081662701 1.886095% 1.88611% -0.000014% -0.00076%
12 626053537810 1.886095% 1.88602% 0.000070% 0.00373%
13 626059710944 1.886095% 1.88604% 0.000052% 0.00275%
14 626113439606 1.886095% 1.88620% -0.000110% -0.00583%
15 626058138741 1.886095% 1.88604% 0.000057% 0.00300%
16 626101265364 1.886095% 1.88617% -0.000073% -0.00389%
17 626056099682 1.886095% 1.88603% 0.000063% 0.00332%
18 626070078552 1.886095% 1.88607% 0.000021% 0.00109%
19 626089797298 1.886095% 1.88613% -0.000039% -0.00206%
20 626096955571 1.886095% 1.88616% -0.000060% -0.00320%
21 626070303933 1.886095% 1.88607% 0.000020% 0.00105%
22 626074949268 1.886095% 1.88609% 0.000006% 0.00031%
23 626066096297 1.886095% 1.88606% 0.000033% 0.00173%
24 626085297799 1.886095% 1.88612% -0.000025% -0.00134%
25 626103375354 1.886095% 1.88617% -0.000080% -0.00423%
26 626046767392 1.886095% 1.88600% 0.000091% 0.00481%
27 626070021060 1.886095% 1.88607% 0.000021% 0.00110%
28 626042471779 1.886095% 1.88599% 0.000104% 0.00550%
29 626049970946 1.886095% 1.88601% 0.000081% 0.00430%
30 626066725742 1.886095% 1.88606% 0.000031% 0.00163%
31 626072460534 1.886095% 1.88608% 0.000013% 0.00071%
32 626055338429 1.886095% 1.88603% 0.000065% 0.00345%
33 626059213989 1.886095% 1.88604% 0.000053% 0.00283%
34 626093339609 1.886095% 1.88614% -0.000049% -0.00262%
35 626078816920 1.886095% 1.88610% -0.000006% -0.00030%
36 626080393922 1.886095% 1.88611% -0.000010% -0.00056%
37 626060236113 1.886095% 1.88604% 0.000050% 0.00266%
38 626083296137 1.886095% 1.88611% -0.000019% -0.00102%
39 626071408321 1.886095% 1.88608% 0.000017% 0.00088%
40 626081541911 1.886095% 1.88611% -0.000014% -0.00074%
41 626105129084 1.886095% 1.88618% -0.000085% -0.00451%
42 626084280135 1.886095% 1.88612% -0.000022% -0.00118%
43 626068299552 1.886095% 1.88607% 0.000026% 0.00138%
44 626082966469 1.886095% 1.88611% -0.000018% -0.00097%
45 626070760498 1.886095% 1.88608% 0.000019% 0.00098%
46 626063143316 1.886095% 1.88605% 0.000041% 0.00220%
47 626078880430 1.886095% 1.88610% -0.000006% -0.00031%
48 626112106388 1.886095% 1.88620% -0.000106% -0.00562%
49 626066120198 1.886095% 1.88606% 0.000033% 0.00172%
50 626094229879 1.886095% 1.88615% -0.000052% -0.00277%
51 626108980494 1.886095% 1.88619% -0.000097% -0.00512%
52 626095136309 1.886095% 1.88615% -0.000055% -0.00291%
合计 33194352194116 100.000000% 100.00000% 0.000000% 0.00000%

白新岭 · 发表于 2021-11-29 07:46

数据分析素数53 素数53 素数53 素数53 素数53
素数53 统计4+45 理论占比实际占比占比绝对误差相对误差
0 638352574769 1.923077% 1.92308% 0.000001% 0.00006%
1 626070693386 1.886095% 1.88608% 0.000019% 0.00099%
2 626098038609 1.886095% 1.88616% -0.000064% -0.00337%
3 626086127889 1.886095% 1.88612% -0.000028% -0.00147%
4 626093777610 1.886095% 1.88615% -0.000051% -0.00269%
5 626086509328 1.886095% 1.88612% -0.000029% -0.00153%
6 626077099543 1.886095% 1.88610% -0.000001% -0.00003%
7 626089213220 1.886095% 1.88613% -0.000037% -0.00197%
8 626052605395 1.886095% 1.88602% 0.000073% 0.00388%
9 626076299597 1.886095% 1.88609% 0.000002% 0.00010%
10 626088514013 1.886095% 1.88613% -0.000035% -0.00185%
11 626081525456 1.886095% 1.88611% -0.000014% -0.00074%
12 626043822504 1.886095% 1.88599% 0.000100% 0.00528%
13 626079853562 1.886095% 1.88610% -0.000009% -0.00047%
14 626071980185 1.886095% 1.88608% 0.000015% 0.00079%
15 626066390967 1.886095% 1.88606% 0.000032% 0.00168%
16 626087939784 1.886095% 1.88613% -0.000033% -0.00176%
17 626038278307 1.886095% 1.88598% 0.000116% 0.00617%
18 626070993749 1.886095% 1.88608% 0.000018% 0.00094%
19 626058673173 1.886095% 1.88604% 0.000055% 0.00291%
20 626087678976 1.886095% 1.88613% -0.000032% -0.00172%
21 626087042073 1.886095% 1.88613% -0.000031% -0.00162%
22 626061397693 1.886095% 1.88605% 0.000047% 0.00248%
23 626062695857 1.886095% 1.88605% 0.000043% 0.00227%
24 626101340576 1.886095% 1.88617% -0.000074% -0.00390%
25 626112525650 1.886095% 1.88620% -0.000107% -0.00569%
26 626084722891 1.886095% 1.88612% -0.000024% -0.00125%
27 626037996846 1.886095% 1.88598% 0.000117% 0.00622%
28 626075491089 1.886095% 1.88609% 0.000004% 0.00023%
29 626049847122 1.886095% 1.88601% 0.000082% 0.00432%
30 626088603777 1.886095% 1.88613% -0.000035% -0.00187%
31 626061704597 1.886095% 1.88605% 0.000046% 0.00243%
32 626077656952 1.886095% 1.88610% -0.000002% -0.00012%
33 626062005409 1.886095% 1.88605% 0.000045% 0.00238%
34 626095879656 1.886095% 1.88615% -0.000057% -0.00303%
35 626104463251 1.886095% 1.88618% -0.000083% -0.00440%
36 626104438526 1.886095% 1.88618% -0.000083% -0.00440%
37 626054670223 1.886095% 1.88603% 0.000067% 0.00355%
38 626100658919 1.886095% 1.88617% -0.000072% -0.00379%
39 626084931421 1.886095% 1.88612% -0.000024% -0.00128%
40 626084145572 1.886095% 1.88612% -0.000022% -0.00116%
41 626091985183 1.886095% 1.88614% -0.000045% -0.00241%
42 626075730451 1.886095% 1.88609% 0.000004% 0.00019%
43 626078637424 1.886095% 1.88610% -0.000005% -0.00028%
44 626061754784 1.886095% 1.88605% 0.000046% 0.00242%
45 626082235064 1.886095% 1.88611% -0.000016% -0.00085%
46 626053614326 1.886095% 1.88602% 0.000070% 0.00372%
47 626056540323 1.886095% 1.88603% 0.000061% 0.00325%
48 626089847883 1.886095% 1.88613% -0.000039% -0.00207%
49 626076802252 1.886095% 1.88609% 0.000000% 0.00002%
50 626077849805 1.886095% 1.88610% -0.000003% -0.00015%
51 626092602886 1.886095% 1.88614% -0.000047% -0.00251%
52 626063785613 1.886095% 1.88606% 0.000040% 0.00210%
合计 33194352194116 100.000000% 100.00000% 0.000000% 0.00000%

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