[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-10-26 08:52

素数29 统计14+24 理论占比实际占比占比绝对误差相对误差
0 1185512201297 3.57% 3.57143% 0.000001% 0.00003%
1 1143155542484 3.44% 3.44383% 0.000052% 0.00151%
2 1143204283189 3.44% 3.44397% -0.000095% -0.00275%
3 1143168340040 3.44% 3.44386% 0.000014% 0.00039%
4 1143195556428 3.44% 3.44395% -0.000068% -0.00199%
5 1143137825150 3.44% 3.44377% 0.000105% 0.00306%
6 1143165341715 3.44% 3.44385% 0.000023% 0.00066%
7 1143172820723 3.44% 3.44388% 0.000000% 0.00000%
8 1143175947903 3.44% 3.44389% -0.000009% -0.00027%
9 1143128078732 3.44% 3.44374% 0.000135% 0.00392%
10 1143135558451 3.44% 3.44377% 0.000112% 0.00326%
11 1143187955871 3.44% 3.44392% -0.000046% -0.00132%
12 1143156418294 3.44% 3.44383% 0.000049% 0.00144%
13 1143184081648 3.44% 3.44391% -0.000034% -0.00098%
14 1143194636389 3.44% 3.44394% -0.000066% -0.00191%
15 1143086909854 3.44% 3.44362% 0.000259% 0.00752%
16 1143136839645 3.44% 3.44377% 0.000108% 0.00315%
17 1143181525333 3.44% 3.44390% -0.000026% -0.00076%
18 1143189265275 3.44% 3.44393% -0.000049% -0.00144%
19 1143217060497 3.44% 3.44401% -0.000133% -0.00387%
20 1143236717751 3.44% 3.44407% -0.000192% -0.00559%
21 1143186432964 3.44% 3.44392% -0.000041% -0.00119%
22 1143180225764 3.44% 3.44390% -0.000022% -0.00065%
23 1143186564614 3.44% 3.44392% -0.000041% -0.00120%
24 1143147884658 3.44% 3.44380% 0.000075% 0.00218%
25 1143188678469 3.44% 3.44393% -0.000048% -0.00139%
26 1143202891676 3.44% 3.44397% -0.000091% -0.00263%
27 1143132808822 3.44% 3.44376% 0.000121% 0.00350%
28 1143203800480 3.44% 3.44397% -0.000093% -0.00271%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-26 08:52

素数29 统计14+25 理论占比实际占比占比绝对误差相对误差
0 1185512224657 3.57% 3.57143% 0.000001% 0.00003%
1 1143169155182 3.44% 3.44387% 0.000011% 0.00032%
2 1143220965505 3.44% 3.44402% -0.000145% -0.00421%
3 1143174236636 3.44% 3.44388% -0.000004% -0.00012%
4 1143163371574 3.44% 3.44385% 0.000029% 0.00083%
5 1143174615431 3.44% 3.44388% -0.000005% -0.00016%
6 1143163330760 3.44% 3.44385% 0.000029% 0.00083%
7 1143174227038 3.44% 3.44388% -0.000004% -0.00012%
8 1143174196490 3.44% 3.44388% -0.000004% -0.00012%
9 1143189657158 3.44% 3.44393% -0.000051% -0.00147%
10 1143152913392 3.44% 3.44382% 0.000060% 0.00174%
11 1143162457279 3.44% 3.44385% 0.000031% 0.00091%
12 1143119030269 3.44% 3.44372% 0.000162% 0.00471%
13 1143163907408 3.44% 3.44385% 0.000027% 0.00078%
14 1143158851383 3.44% 3.44384% 0.000042% 0.00122%
15 1143166224821 3.44% 3.44386% 0.000020% 0.00058%
16 1143157249939 3.44% 3.44383% 0.000047% 0.00136%
17 1143224178550 3.44% 3.44403% -0.000155% -0.00449%
18 1143178053273 3.44% 3.44389% -0.000016% -0.00046%
19 1143183714770 3.44% 3.44391% -0.000033% -0.00095%
20 1143197327651 3.44% 3.44395% -0.000074% -0.00214%
21 1143215552900 3.44% 3.44401% -0.000129% -0.00374%
22 1143141461159 3.44% 3.44378% 0.000095% 0.00275%
23 1143210697544 3.44% 3.44399% -0.000114% -0.00331%
24 1143157243182 3.44% 3.44383% 0.000047% 0.00136%
25 1143159168198 3.44% 3.44384% 0.000041% 0.00120%
26 1143194313589 3.44% 3.44394% -0.000065% -0.00188%
27 1143095005326 3.44% 3.44364% 0.000234% 0.00681%
28 1143198863052 3.44% 3.44396% -0.000078% -0.00228%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-26 08:53

素数29 统计14+26 理论占比实际占比占比绝对误差相对误差
0 1185512293976 3.57% 3.57143% 0.000001% 0.00002%
1 1143138855282 3.44% 3.44378% 0.000102% 0.00297%
2 1143204913412 3.44% 3.44397% -0.000097% -0.00281%
3 1143154641830 3.44% 3.44382% 0.000055% 0.00159%
4 1143186250673 3.44% 3.44392% -0.000040% -0.00117%
5 1143151881340 3.44% 3.44381% 0.000063% 0.00183%
6 1143134816254 3.44% 3.44376% 0.000115% 0.00333%
7 1143114515322 3.44% 3.44370% 0.000176% 0.00510%
8 1143197570720 3.44% 3.44395% -0.000074% -0.00216%
9 1143100696302 3.44% 3.44366% 0.000217% 0.00631%
10 1143183002800 3.44% 3.44391% -0.000031% -0.00089%
11 1143204835604 3.44% 3.44397% -0.000096% -0.00280%
12 1143246278780 3.44% 3.44410% -0.000221% -0.00642%
13 1143173990766 3.44% 3.44388% -0.000003% -0.00010%
14 1143177281088 3.44% 3.44389% -0.000013% -0.00039%
15 1143174585562 3.44% 3.44388% -0.000005% -0.00015%
16 1143093987902 3.44% 3.44364% 0.000238% 0.00690%
17 1143145165587 3.44% 3.44379% 0.000083% 0.00242%
18 1143186062392 3.44% 3.44392% -0.000040% -0.00116%
19 1143222896343 3.44% 3.44403% -0.000151% -0.00438%
20 1143215852172 3.44% 3.44401% -0.000130% -0.00376%
21 1143223690585 3.44% 3.44403% -0.000153% -0.00445%
22 1143169198298 3.44% 3.44387% 0.000011% 0.00032%
23 1143185857726 3.44% 3.44392% -0.000039% -0.00114%
24 1143166203540 3.44% 3.44386% 0.000020% 0.00058%
25 1143171543758 3.44% 3.44387% 0.000004% 0.00011%
26 1143181627737 3.44% 3.44390% -0.000026% -0.00077%
27 1143164020933 3.44% 3.44385% 0.000027% 0.00077%
28 1143169677432 3.44% 3.44387% 0.000010% 0.00028%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-26 08:54

素数29 统计14+27 理论占比实际占比占比绝对误差相对误差
0 1185512191410 3.57% 3.57143% 0.000001% 0.00003%
1 1143151655121 3.44% 3.44381% 0.000064% 0.00185%
2 1143214169257 3.44% 3.44400% -0.000124% -0.00362%
3 1143183894226 3.44% 3.44391% -0.000033% -0.00097%
4 1143164464469 3.44% 3.44385% 0.000025% 0.00073%
5 1143156496791 3.44% 3.44383% 0.000049% 0.00143%
6 1143077033981 3.44% 3.44359% 0.000289% 0.00838%
7 1143138315674 3.44% 3.44377% 0.000104% 0.00302%
8 1143243485584 3.44% 3.44409% -0.000213% -0.00618%
9 1143160223728 3.44% 3.44384% 0.000038% 0.00110%
10 1143165329654 3.44% 3.44385% 0.000023% 0.00066%
11 1143158962143 3.44% 3.44384% 0.000042% 0.00121%
12 1143186711936 3.44% 3.44392% -0.000042% -0.00121%
13 1143207216605 3.44% 3.44398% -0.000104% -0.00301%
14 1143176634594 3.44% 3.44389% -0.000011% -0.00033%
15 1143168229663 3.44% 3.44386% 0.000014% 0.00040%
16 1143106756314 3.44% 3.44368% 0.000199% 0.00578%
17 1143211172106 3.44% 3.44399% -0.000115% -0.00335%
18 1143224966108 3.44% 3.44403% -0.000157% -0.00456%
19 1143225572516 3.44% 3.44404% -0.000159% -0.00461%
20 1143160634777 3.44% 3.44384% 0.000037% 0.00107%
21 1143162867972 3.44% 3.44385% 0.000030% 0.00087%
22 1143173451312 3.44% 3.44388% -0.000002% -0.00005%
23 1143211691201 3.44% 3.44399% -0.000117% -0.00340%
24 1143136287128 3.44% 3.44377% 0.000110% 0.00320%
25 1143181159009 3.44% 3.44390% -0.000025% -0.00073%
26 1143228928332 3.44% 3.44405% -0.000169% -0.00491%
27 1143115801436 3.44% 3.44371% 0.000172% 0.00499%
28 1143147891069 3.44% 3.44380% 0.000075% 0.00218%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-26 08:54

素数29 统计14+28 理论占比实际占比占比绝对误差相对误差
0 1185512075528 3.57% 3.57143% 0.000002% 0.00004%
1 1143144929808 3.44% 3.44379% 0.000084% 0.00244%
2 1143215008462 3.44% 3.44400% -0.000127% -0.00369%
3 1143097787493 3.44% 3.44365% 0.000226% 0.00657%
4 1143233733024 3.44% 3.44406% -0.000183% -0.00533%
5 1143168745781 3.44% 3.44387% 0.000012% 0.00036%
6 1143144900368 3.44% 3.44379% 0.000084% 0.00244%
7 1143155870127 3.44% 3.44383% 0.000051% 0.00148%
8 1143192950017 3.44% 3.44394% -0.000061% -0.00176%
9 1143207259021 3.44% 3.44398% -0.000104% -0.00301%
10 1143128727316 3.44% 3.44374% 0.000133% 0.00386%
11 1143190731649 3.44% 3.44393% -0.000054% -0.00156%
12 1143166002069 3.44% 3.44386% 0.000021% 0.00060%
13 1143241877432 3.44% 3.44409% -0.000208% -0.00604%
14 1143125662735 3.44% 3.44374% 0.000142% 0.00413%
15 1143150754274 3.44% 3.44381% 0.000067% 0.00193%
16 1143116284539 3.44% 3.44371% 0.000170% 0.00495%
17 1143193187883 3.44% 3.44394% -0.000061% -0.00178%
18 1143189061149 3.44% 3.44393% -0.000049% -0.00142%
19 1143196265912 3.44% 3.44395% -0.000071% -0.00205%
20 1143156975831 3.44% 3.44383% 0.000048% 0.00139%
21 1143206234129 3.44% 3.44398% -0.000101% -0.00292%
22 1143175097126 3.44% 3.44388% -0.000007% -0.00020%
23 1143198860187 3.44% 3.44396% -0.000078% -0.00228%
24 1143178439998 3.44% 3.44389% -0.000017% -0.00049%
25 1143128318916 3.44% 3.44374% 0.000134% 0.00389%
26 1143230076226 3.44% 3.44405% -0.000172% -0.00501%
27 1143137665623 3.44% 3.44377% 0.000106% 0.00308%
28 1143168711493 3.44% 3.44387% 0.000012% 0.00036%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-26 09:17

截止2021年10月25日周一22:42分浏览量68016,回复5770热度144度。参照浏览量71642，差距 3626
截止2021年10月26日周二09:14分浏览量68169,回复5797热度145度。参照浏览量71669，差距 3500
浏览量 ↑ 153. 回复↑ 27热度↑ 1 。参照浏览量↑ 27，差距↓ 126
上午好！

独木星空谁 · 发表于 2021-10-26 14:28

组合110 1 2 3 4 5 10 14 15 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→→→ 5 -4 496 501 506 511 516 521
3→→→ 6 -4 596 602 608 614 620 626
4→→→ 7 -4 696 703 710 717 724 731
5→→→ 7 -3 697 704 711 718 725 732
6→→→ 5 0 500 505 510 515 520 525
7→→→ 4 0 400 404 408 412 416 420
8→→→ 3 0 300 303 306 309 312 315
9→→→ 4 -2 398 402 406 410 414 418
10→→→ 3 -2 298 301 304 307 310 313
11→→→ 2 0 200 202 204 206 208 210
12→→→ 2 0 200 202 204 206 208 210
13→→→ 3 -1 299 302 305 308 311 314
14→→→ 4 -2 398 402 406 410 414 418
15→→0 5 -1 499 504 509 514 519 524
一周汇总 64 -27 6373 6437 6501 6565 6629 6693

x+y=N 正整数解组数系数及 a,b值

独木星空谁 · 发表于 2021-10-26 14:28

mod(n,15) 2at^2 2bt c 10周 11周 12周 13周 14周
1→→→ 30 -54 12 1242 1530 1848 2196 2574
2→→→ 33 -57 12 1377 1695 2046 2430 2847
3→→→ 37 -59 12 1567 1926 2322 2755 3225
4→→→ 42 -60 12 1812 2223 2676 3171 3708
5→→→ 42 -42 6 1896 2316 2778 3282 3828
6→→→ 40 -20 0 1900 2310 2760 3250 3780
7→→→ 39 -9 0 1905 2310 2754 3237 3759
8→→→ 39 -9 3 1908 2313 2757 3240 3762
9→→→ 37 -11 6 1801 2184 2604 3061 3555
10→→→ 33 -3 3 1638 1983 2361 2772 3216
11→→→ 27 3 0 1365 1650 1962 2301 2667
12→→→ 26 -2 1 1291 1563 1861 2185 2535
13→→→ 27 -9 3 1308 1587 1893 2226 2586
14→→→ 30 -12 3 1443 1752 2091 2460 2859
15→→0同 30 -6 1 1471 1783 2125 2497 2899
一周汇总 512 -350 74 23924 29125 34838 41063 47800
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 2021-10-26 14:29

mod(n,15) 6at^3 6bt^2 6ct d 5周 6周 7周
1→→→ 243 -600 549 -32 2988 5665 9600
2→→→ 252 -600 540 -32 3168 5980 10104
3→→→ 268 -612 548 -34 3456 6490 10928
4→→→ 281 -573 466 -28 3827 7116 11900
5→→→ 287 -456 253 -10 4280 7839 12968
6→→→ 290 -330 100 0 4750 8560 14000
7→→→ 298 -252 98 -4 5236 9310 15088
8→→→ 303 -183 162 -12 5673 9960 16004
9→→→ 302 -96 178 -12 6028 10462 16676
10→→→ 287 15 130 -4 6146 10548 16677
11→→→ 271 90 125 -1 6124 10420 16372
12→→→ 261 87 186 -4 5951 10100 15844
13→→→ 256 60 224 -6 5764 9794 15380
14→→→ 252 48 204 -4 5616 9560 15032
15→→0同 245 90 127 -1 5584 9486 14888
一周汇总 4096 -3312 3890 -184 74591 131290 211461
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 2021-10-26 14:30

mod(n,15) 24at^4 24bt^3 24ct^2 24dt 6e 6周 7周 8周
1→→→ 2070 -5680 8490 -6800 480 71775 141340 252560
2→→→ 2075 -5550 8185 -6750 510 72775 143095 255395
3→→→ 2100 -5380 7680 -6440 510 74975 147085 262045
4→→→ 2130 -4940 6210 -4720 330 78750 153845 273175
5→→→ 2153 -4218 4171 -2442 90 83961 162926 287785
6→→→ 2190 -3500 2850 -1540 30 90655 174445 306185
7→→→ 2240 -2860 2500 -2000 120 98490 187760 327300
8→→→ 2285 -2130 2335 -2370 180 107160 202260 350000
9→→→ 2300 -1200 1960 -1860 120 115895 216425 371560
10→→→ 2283 -142 1605 -986 36 124171 229361 390560
11→→→ 2255 690 2065 -690 30 130910 239475 404855
12→→→ 2230 1220 3170 -740 60 135980 246795 414830
13→→→ 2200 1580 4100 -440 60 139070 250925 419970
14→→→ 2155 1950 4325 330 30 140495 252390 421035
15→→0同 2102 2336 4006 1156 6 140831 252190 419645
一周汇总 32768 -27824 63652 -36292 2592 1605893 3000317 5156900
x+y+z+u+v=N 的正整数解组数，及系数 a,b,c,d,e 的值

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[原创]k生素数群的数量公式

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