[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-11-7 19:46

数据分析素数53 素数53 素数53 素数53 素数53
素数53 统计3+50 理论占比实际占比占比绝对误差相对误差
0 638353368106 1.923077% 1.92308% -0.000001% -0.00007%
1 626099250258 1.886095% 1.88616% -0.000067% -0.00357%
2 626068075624 1.886095% 1.88607% 0.000027% 0.00141%
3 626072899456 1.886095% 1.88608% 0.000012% 0.00064%
4 626083169389 1.886095% 1.88611% -0.000019% -0.00100%
5 626073341983 1.886095% 1.88608% 0.000011% 0.00057%
6 626061456401 1.886095% 1.88605% 0.000047% 0.00247%
7 626041622428 1.886095% 1.88599% 0.000106% 0.00564%
8 626059416720 1.886095% 1.88604% 0.000053% 0.00279%
9 626075296867 1.886095% 1.88609% 0.000005% 0.00026%
10 626049516690 1.886095% 1.88601% 0.000083% 0.00438%
11 626073293797 1.886095% 1.88608% 0.000011% 0.00058%
12 626081013559 1.886095% 1.88611% -0.000012% -0.00066%
13 626087122017 1.886095% 1.88613% -0.000031% -0.00163%
14 626092780018 1.886095% 1.88614% -0.000048% -0.00253%
15 626083011929 1.886095% 1.88611% -0.000018% -0.00097%
16 626097766025 1.886095% 1.88616% -0.000063% -0.00333%
17 626100639563 1.886095% 1.88617% -0.000071% -0.00379%
18 626075800171 1.886095% 1.88609% 0.000003% 0.00018%
19 626066827684 1.886095% 1.88606% 0.000030% 0.00161%
20 626088445209 1.886095% 1.88613% -0.000035% -0.00184%
21 626090445589 1.886095% 1.88614% -0.000041% -0.00216%
22 626060232592 1.886095% 1.88604% 0.000050% 0.00266%
23 626080709675 1.886095% 1.88611% -0.000011% -0.00061%
24 626083911749 1.886095% 1.88612% -0.000021% -0.00112%
25 626097899026 1.886095% 1.88616% -0.000063% -0.00335%
26 626055468586 1.886095% 1.88603% 0.000065% 0.00342%
27 626055468586 1.886095% 1.88603% 0.000065% 0.00342%
28 626097899026 1.886095% 1.88616% -0.000063% -0.00335%
29 626083911749 1.886095% 1.88612% -0.000021% -0.00112%
30 626080709675 1.886095% 1.88611% -0.000011% -0.00061%
31 626060232592 1.886095% 1.88604% 0.000050% 0.00266%
32 626090445589 1.886095% 1.88614% -0.000041% -0.00216%
33 626088445209 1.886095% 1.88613% -0.000035% -0.00184%
34 626066827684 1.886095% 1.88606% 0.000030% 0.00161%
35 626075800171 1.886095% 1.88609% 0.000003% 0.00018%
36 626100639563 1.886095% 1.88617% -0.000071% -0.00379%
37 626097766025 1.886095% 1.88616% -0.000063% -0.00333%
38 626083011929 1.886095% 1.88611% -0.000018% -0.00097%
39 626092780018 1.886095% 1.88614% -0.000048% -0.00253%
40 626087122017 1.886095% 1.88613% -0.000031% -0.00163%
41 626081013559 1.886095% 1.88611% -0.000012% -0.00066%
42 626073293797 1.886095% 1.88608% 0.000011% 0.00058%
43 626049516690 1.886095% 1.88601% 0.000083% 0.00438%
44 626075296867 1.886095% 1.88609% 0.000005% 0.00026%
45 626059416720 1.886095% 1.88604% 0.000053% 0.00279%
46 626041622428 1.886095% 1.88599% 0.000106% 0.00564%
47 626061456401 1.886095% 1.88605% 0.000047% 0.00247%
48 626073341983 1.886095% 1.88608% 0.000011% 0.00057%
49 626083169389 1.886095% 1.88611% -0.000019% -0.00100%
50 626072899456 1.886095% 1.88608% 0.000012% 0.00064%
51 626068075624 1.886095% 1.88607% 0.000027% 0.00141%
52 626099250258 1.886095% 1.88616% -0.000067% -0.00357%
合计 33194352194116 100.000000% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-11-7 19:46

数据分析素数53 素数53 素数53 素数53 素数53
素数53 统计3+49 理论占比实际占比占比绝对误差相对误差
0 638352686677 1.923077% 1.92308% 0.000001% 0.00004%
1 626102480146 1.886095% 1.88617% -0.000077% -0.00408%
2 626103961284 1.886095% 1.88618% -0.000081% -0.00432%
3 626085364328 1.886095% 1.88612% -0.000025% -0.00135%
4 626077785014 1.886095% 1.88610% -0.000003% -0.00014%
5 626088110651 1.886095% 1.88613% -0.000034% -0.00179%
6 626048417841 1.886095% 1.88601% 0.000086% 0.00455%
7 626027610387 1.886095% 1.88595% 0.000149% 0.00787%
8 626057002461 1.886095% 1.88603% 0.000060% 0.00318%
9 626058015152 1.886095% 1.88604% 0.000057% 0.00302%
10 626054380787 1.886095% 1.88603% 0.000068% 0.00360%
11 626075880659 1.886095% 1.88609% 0.000003% 0.00016%
12 626106109422 1.886095% 1.88618% -0.000088% -0.00466%
13 626111909390 1.886095% 1.88620% -0.000105% -0.00559%
14 626082370830 1.886095% 1.88611% -0.000016% -0.00087%
15 626104480848 1.886095% 1.88618% -0.000083% -0.00440%
16 626075798640 1.886095% 1.88609% 0.000003% 0.00018%
17 626090747301 1.886095% 1.88614% -0.000042% -0.00221%
18 626100151926 1.886095% 1.88616% -0.000070% -0.00371%
19 626083747418 1.886095% 1.88612% -0.000021% -0.00109%
20 626076575734 1.886095% 1.88609% 0.000001% 0.00005%
21 626077608610 1.886095% 1.88610% -0.000002% -0.00011%
22 626047177384 1.886095% 1.88601% 0.000090% 0.00475%
23 626063915742 1.886095% 1.88606% 0.000039% 0.00208%
24 626077430975 1.886095% 1.88610% -0.000002% -0.00008%
25 626086155585 1.886095% 1.88612% -0.000028% -0.00148%
26 626020025505 1.886095% 1.88592% 0.000171% 0.00909%
27 626077032132 1.886095% 1.88610% 0.000000% -0.00002%
28 626102224150 1.886095% 1.88617% -0.000076% -0.00404%
29 626082219620 1.886095% 1.88611% -0.000016% -0.00085%
30 626100434704 1.886095% 1.88617% -0.000071% -0.00376%
31 626062555579 1.886095% 1.88605% 0.000043% 0.00229%
32 626096825119 1.886095% 1.88615% -0.000060% -0.00318%
33 626094992758 1.886095% 1.88615% -0.000054% -0.00289%
34 626082166341 1.886095% 1.88611% -0.000016% -0.00084%
35 626062873358 1.886095% 1.88605% 0.000042% 0.00224%
36 626065271985 1.886095% 1.88606% 0.000035% 0.00186%
37 626102788006 1.886095% 1.88617% -0.000078% -0.00413%
38 626046438118 1.886095% 1.88600% 0.000092% 0.00487%
39 626108188522 1.886095% 1.88619% -0.000094% -0.00500%
40 626056009112 1.886095% 1.88603% 0.000063% 0.00334%
41 626049895885 1.886095% 1.88601% 0.000081% 0.00431%
42 626070867868 1.886095% 1.88608% 0.000018% 0.00096%
43 626061791999 1.886095% 1.88605% 0.000046% 0.00241%
44 626105640217 1.886095% 1.88618% -0.000087% -0.00459%
45 626064278061 1.886095% 1.88606% 0.000038% 0.00202%
46 626073603482 1.886095% 1.88608% 0.000010% 0.00053%
47 626073666230 1.886095% 1.88608% 0.000010% 0.00052%
48 626085995167 1.886095% 1.88612% -0.000027% -0.00145%
49 626078589820 1.886095% 1.88610% -0.000005% -0.00027%
50 626060753225 1.886095% 1.88605% 0.000049% 0.00258%
51 626061813058 1.886095% 1.88605% 0.000045% 0.00241%
52 626089378903 1.886095% 1.88613% -0.000038% -0.00199%
合计 33194352194116 100.000000% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-11-7 22:11

截止2021年11月06日周六22:26分浏览量73350,回复6223热度146度。参照浏览量72506，差距 844
截止2021年11月07日周日22:09分浏览量73882,回复6269热度146度。参照浏览量72601，差距 1281
                                                浏览量 ↑ 532, 回复↑  46热度↑ 。参照浏览量↑ 95,  差距 ↑437
晚安!

独木星空谁 · 发表于 2021-11-8 07:26

组合152 1 2 3 4 6 8 9 13 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→→→ 5 -4 496 501 506 511 516 521
3→→→ 3 -1 299 302 305 308 311 314
4→→→ 5 -2 498 503 508 513 518 523
5→→→ 4 0 400 404 408 412 416 420
6→→→ 5 -2 498 503 508 513 518 523
7→→→ 6 -2 598 604 610 616 622 628
8→→→ 3 0 300 303 306 309 312 315
9→→→ 4 0 400 404 408 412 416 420
10→→→ 6 0 600 606 612 618 624 630
11→→→ 5 -1 499 504 509 514 519 524
12→→→ 5 0 500 505 510 515 520 525
13→→→ 2 0 200 202 204 206 208 210
14→→→ 4 0 400 404 408 412 416 420
15→→0 4 0 400 404 408 412 416 420
一周汇总 64 -15 6385 6449 6513 6577 6641 6705

x+y=N 正整数解组数系数及 a,b值

独木星空谁 · 发表于 2021-11-8 12:12

mod(n,15) 2at^2 2bt c 10周 11周 12周 13周 14周
1→→→ 33 -39 3 1458 1785 2145 2538 2964
2→→→ 30 -36 3 1323 1620 1947 2304 2691
3→→→ 35 -33 0 1585 1936 2322 2743 3199
4→→→ 33 -33 3 1488 1818 2181 2577 3006
5→→→ 36 -30 3 1653 2016 2415 2850 3321
6→→→ 31 -11 0 1495 1815 2166 2548 2961
7→→→ 30 -6 0 1470 1782 2124 2496 2898
8→→→ 39 -9 0 1905 2310 2754 3237 3759
9→→→ 33 -3 1 1636 1981 2359 2770 3214
10→→→ 36 0 0 1800 2178 2592 3042 3528
11→→→ 33 15 0 1725 2079 2466 2886 3339
12→→→ 35 15 0 1825 2200 2610 3055 3535
13→→→ 39 21 0 2055 2475 2934 3432 3969
14→→→ 33 21 0 1755 2112 2502 2925 3381
15→→0同 36 18 0 1890 2277 2700 3159 3654
一周汇总 512 -110 13 25063 30384 36217 42562 49419
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 2021-11-8 12:13

mod(n,15) 6at^3 6bt^2 6ct d 5周 6周 7周
1→→→ 283 -384 101 0 4380 7985 13160
2→→→ 279 -333 78 -4 4486 8120 13317
3→→→ 272 -300 52 -4 4456 8040 13156
4→→→ 273 -213 -54 0 4755 8496 13804
5→→→ 262 -144 -94 0 4780 8474 13692
6→→→ 283 -153 -70 0 5200 9200 14847
7→→→ 273 -66 -81 -1 5344 9350 14972
8→→→ 265 -33 -46 0 5345 9296 14826
9→→→ 273 60 -69 0 5880 10119 16016
10→→→ 264 108 -36 0 5920 10116 15932
11→→→ 278 156 -26 0 6420 10918 17136
12→→→ 273 231 18 0 6665 11232 17514
13→→→ 272 264 88 0 6840 11464 17808
14→→→ 282 366 120 0 7500 12468 19250
15→→0同 264 420 180 0 7400 12204 18732
一周汇总 4096 -21 161 -9 85371 147482 234162
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 2021-11-8 12:14

mod(n,15) 24at^4 24bt^3 24ct^2 24dt 6e 6周 7周
1→→→ 2165 -3010 775 -50 30 90975 175145
2→→→ 2190 -2400 -30 240 0 96675 184800
3→→→ 2180 -1680 -740 240 0 101550 192640
4→→→ 2195 -1350 -695 -150 0 105300 198835
5→→→ 2213 -722 -1205 -286 6 111126 208531
6→→→ 2160 -120 -1140 -780 0 113655 211820
7→→→ 2200 420 -1420 -840 0 120240 222950
8→→→ 2180 1100 -1340 -1100 0 125335 230755
9→→→ 2180 1520 -1100 -1040 0 129490 237265
10→→→ 2202 2124 -750 -1032 0 136641 248815
11→→→ 2160 2640 0 -1080 0 140130 253505
12→→→ 2190 3240 450 -840 0 147885 266070
13→→→ 2160 4000 1260 -700 0 154355 275625
14→→→ 2180 4420 2140 -100 0 160685 285600
15→→0同 2213 5126 3379 346 0 170791 301651
一周汇总 32768 15308 -416 -7172 36 1904833 3494007
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 2021-11-8 12:14

mod(n,15) 120at^5 120bt^4 120ct^3 120dt^2 120et 6f 10周
1→→→ 17505 -20325 -12735 5925 9630 0 12793365
2→→→ 17433 -14700 -14745 1200 10812 0 13181526
3→→→ 17533 -9185 -17475 545 8702 -6 13700970
4→→→ 17430 -2550 -18510 -5550 9180 0 14154390
5→→→ 17460 2850 -18000 -8250 5940 0 14631120
6→→→ 17521 9230 -18045 -12530 3944 0 15209512
7→→→ 17433 14805 -14175 -16605 -738 0 15629226
8→→→ 17553 20280 -9885 -20280 -5148 0 16217796
9→→→ 17471 26505 -3145 -25305 -8806 0 16719887
10→→→ 17460 31950 3900 -25650 -13260 0 17222520
11→→→ 17505 38415 11205 -25455 -15030 0 17859660
12→→→ 17437 43510 22555 -21550 -18032 0 18325164
13→→→ 17553 49065 33885 -16305 -17958 0 18983541
14→→→ 17430 55140 48930 -7980 -18480 0 19519560
15→→0同 17420 60700 63600 4700 -15620 0 20107615
一周汇总 262144 305690 57360 -173090 -64864 -6 244255852
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

独木星空谁 · 发表于 2021-11-8 12:15

组合153 1 2 3 4 6 8 9 14 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→→→ 5 -4 496 501 506 511 516 521
3→→→ 5 -3 497 502 507 512 517 522
4→→→ 3 0 300 303 306 309 312 315
5→→→ 6 -2 598 604 610 616 622 628
6→→→ 3 0 300 303 306 309 312 315
7→→→ 6 -2 598 604 610 616 622 628
8→→→ 5 -2 498 503 508 513 518 523
9→→→ 4 0 400 404 408 412 416 420
10→→→ 6 0 600 606 612 618 624 630
11→→→ 4 0 400 404 408 412 416 420
12→→→ 5 0 500 505 510 515 520 525
13→→→ 3 -1 299 302 305 308 311 314
14→→→ 2 0 200 202 204 206 208 210
15→→0 4 0 400 404 408 412 416 420
一周汇总 64 -17 6383 6447 6511 6575 6639 6703

x+y=N 正整数解组数系数及 a,b值

独木星空谁 · 发表于 2021-11-8 12:15

mod(n,15) 2at^2 2bt c 10周 11周 12周 13周 14周
1→→→ 36 -54 9 1539 1890 2277 2700 3159
2→→→ 30 -42 6 1296 1590 1914 2268 2652
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→→→ 37 -23 3 1738 2115 2529 2980 3468
7→→→ 30 -12 3 1443 1752 2091 2460 2859
8→→→ 33 -3 0 1635 1980 2358 2769 3213
9→→→ 38 -6 0 1870 2266 2700 3172 3682
10→→→ 33 3 0 1665 2013 2394 2808 3255
11→→→ 42 6 0 2130 2574 3060 3588 4158
12→→→ 33 15 1 1726 2080 2467 2887 3340
13→→→ 36 24 0 1920 2310 2736 3198 3696
14→→→ 36 18 0 1890 2277 2700 3159 3654
15→→0同 30 18 0 1590 1914 2268 2652 3066
一周汇总 512 -140 25 24925 30231 36049 42379 49221
x+y+z=N 正整数解组数及系数 a,b,c 的值

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