[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-10-20 19:08

组合99 1 2 3 4 5 9 13 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→→→ 7 -5 695 702 709 716 723 730
4→→→ 5 -2 498 503 508 513 518 523
5→→→ 6 -2 598 604 610 616 622 628
6→→→ 5 0 500 505 510 515 520 525
7→→→ 6 -2 598 604 610 616 622 628
8→→→ 3 0 300 303 306 309 312 315
9→→→ 4 -2 398 402 406 410 414 418
10→→→ 3 0 300 303 306 309 312 315
11→→→ 3 -1 299 302 305 308 311 314
12→→→ 2 0 200 202 204 206 208 210
13→→→ 4 -2 398 402 406 410 414 418
14→→→ 4 0 400 404 408 412 416 420
15→→0 3 -1 299 302 305 308 311 314
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

独木星空谁 · 发表于 2021-10-20 19:09

mod(n,15) 2at^2 2bt c 10周 11周 12周 13周 14周
1→→→ 33 -63 15 1350 1665 2013 2394 2808
2→→→ 30 -48 9 1269 1560 1881 2232 2613
3→→→ 37 -59 12 1567 1926 2322 2755 3225
4→→→ 36 -36 3 1623 1983 2379 2811 3279
5→→→ 39 -39 6 1761 2151 2580 3048 3555
6→→→ 37 -17 0 1765 2145 2562 3016 3507
7→→→ 42 -24 6 1986 2415 2886 3399 3954
8→→→ 39 -3 0 1935 2343 2790 3276 3801
9→→→ 35 -5 4 1729 2094 2494 2929 3399
10→→→ 33 3 0 1665 2013 2394 2808 3255
11→→→ 33 -3 3 1638 1983 2361 2772 3216
12→→→ 32 0 0 1600 1936 2304 2704 3136
13→→→ 27 -3 3 1338 1620 1929 2265 2628
14→→→ 30 0 0 1500 1815 2160 2535 2940
15→→0同 29 7 1 1486 1794 2131 2497 2892
一周汇总 512 -290 62 24212 29443 35186 41441 48208
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 2021-10-20 19:10

mod(n,15) 6at^3 6bt^2 6ct d 5周 6周 7周
1→→→ 263 -612 589 -40 3380 6345 10684
2→→→ 256 -504 344 -16 3504 6520 10904
3→→→ 260 -516 412 -26 3584 6650 11104
4→→→ 265 -417 182 -4 3931 7216 11952
5→→→ 279 -408 249 -16 4304 7829 12892
6→→→ 283 -297 74 0 4720 8480 13839
7→→→ 283 -234 149 -13 5032 8920 14428
8→→→ 293 -129 46 0 5605 9820 15750
9→→→ 290 -36 106 -8 5972 10322 16400
10→→→ 290 18 100 0 6200 10648 16842
11→→→ 276 84 156 -6 6224 10590 16640
12→→→ 281 99 154 0 6395 10864 17052
13→→→ 264 168 144 -4 6316 10652 16628
14→→→ 262 138 152 0 6160 10412 16282
15→→0同 251 198 109 -1 6144 10332 16092
一周汇总 4096 -2448 2966 -134 77471 135600 217489
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 2021-10-20 19:10

mod(n,15) 24at^4 24bt^3 24ct^2 24dt 6e 6周 7周 8周
1→→→ 2140 -5180 7220 -6340 540 78275 153040 271950
2→→→ 2135 -4630 5245 -3350 150 80675 157175 278495
3→→→ 2125 -4270 5015 -4190 330 82850 160635 283605
4→→→ 2130 -3800 3510 -1960 30 85600 165380 291165
5→→→ 2133 -3302 3135 -2806 216 89501 171816 301050
6→→→ 2180 -2780 2020 -1300 0 95405 182105 317700
7→→→ 2180 -1980 1420 -1860 150 101590 192175 333005
8→→→ 2215 -1410 1145 -1110 0 108360 203455 350630
9→→→ 2220 -480 900 -1320 90 116595 216700 370615
10→→→ 2262 108 1530 -996 0 125166 230671 392100
11→→→ 2235 1070 1605 -710 60 132560 241965 408320
12→→→ 2235 1530 2685 -330 0 138405 250845 421130
13→→→ 2210 2340 2710 420 30 144575 260195 434465
14→→→ 2205 2630 3855 550 0 148660 266210 442890
15→→0同 2163 3194 3645 1318 6 151346 269865 447451
一周汇总 32768 -16960 45640 -23984 1602 1679563 3122232 5344571
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 2021-10-20 19:11

mod(n,15) 120at^5 120bt^4 120ct^3 120dt^2 120et 6f 10周 11周
1→→→ 17493 -44565 77745 -99075 70722 -1116 11434770 18808626
2→→→ 17433 -39540 66495 -72600 32532 -216 11728800 19239756
3→→→ 17331 -34075 56955 -68405 41634 -672 12023895 19668812
4→→→ 17340 -29760 48720 -51780 16200 -36 12334194 20130555
5→→→ 17241 -24075 37905 -45405 22974 -432 12641130 20578332
6→→→ 17293 -19720 32475 -37580 7652 0 13007446 21125797
7→→→ 17313 -13395 22125 -29805 9882 -270 13471566 21817542
8→→→ 17430 -8340 21450 -31260 3240 0 13982970 22581801
9→→→ 17456 -1310 15420 -23530 1804 -156 14546516 23415168
10→→→ 17565 4560 20775 -27960 180 0 15167340 24332451
11→→→ 17637 12165 20565 -15405 -3642 -90 15869469 25366920
12→→→ 17677 18490 31915 -15730 -1232 0 16524414 26318105
13→→→ 17670 25500 37710 4020 -4260 -36 17167239 27247896
14→→→ 17640 31470 52440 9390 3900 0 17767650 28105572
15→→0同 17625 37575 60885 33345 3810 -6 18354229 28948116
一周汇总 262144 -85020 603580 -471780 205396 -3030 216021628 347685449
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 2021-10-20 23:44

截止2021年10月19日周二22:37分浏览量65776,回复5539热度142度。参照浏览量71241，差距 5465
截止2021年10月20日周三22:42分浏览量66091,回复5557热度142度。参照浏览量71293，差距 5202
浏览量 ↑ 315.回复↑ 18热度↑ 。参照浏览量↑ 52，差距↓ 263
晚安！

独木星空谁 · 发表于 2021-10-21 05:16

针对素29 针对素29 针对素29 针对素29 针对素29
统计7+8 统计7+9 统计7+10 统计7+11 统计7+12
1185512039071 1185512191410 1185511975239 1185512156492 1185512201297
1143227804502 1143243485584 1143263617598 1143228096056 1143204283189
1143194926962 1143106756314 1143200218506 1143211985229 1143195556428
1143104452910 1143136287128 1143124568587 1143164673516 1143165341715
1143153792071 1143183894226 1143191685695 1143222886382 1143175947903
1143077456426 1143158962143 1143114977673 1143148205912 1143135558451
1143189748202 1143225572516 1143198379334 1143170069021 1143156418294
1143139442063 1143115801436 1143164960412 1143146022754 1143194636389
1143088415121 1143077033981 1143117788669 1143123590123 1143136839645
1143193682015 1143176634594 1143176164442 1143182211696 1143189265275
1143177315379 1143173451312 1143167905732 1143197761314 1143236717751
1143182898745 1143151655121 1143121307306 1143152187302 1143180225764
1143195021093 1143160223728 1143170828801 1143137105814 1143147884658
1143181534960 1143211172106 1143183104368 1143170414295 1143202891676
1143157811280 1143181159009 1143196625503 1143237649625 1143203800480
1143194496107 1143164464469 1143193315399 1143115339942 1143155542484
1143178106086 1143186711936 1143148926314 1143172985375 1143168340040
1143167311379 1143160634777 1143169408058 1143187691743 1143137825150
1143155256996 1143147891069 1143194811867 1143124483344 1143172820723
1143194168651 1143138315674 1143157545600 1143181919885 1143128078732
1143158359358 1143168229663 1143191497854 1143148844614 1143187955871
1143193428120 1143211691201 1143225495712 1143204113243 1143184081648
1143146503191 1143214169257 1143157750453 1143167055359 1143086909854
1143194297812 1143165329654 1143188251662 1143177461971 1143181525333
1143243063736 1143224966108 1143200495427 1143216202098 1143217060497
1143199292907 1143228928332 1143182322520 1143135442067 1143186432964
1143232504838 1143156496791 1143211910006 1143194236966 1143186564614
1143182160159 1143207216605 1143168826148 1143187194164 1143188678469
1143136903976 1143162867972 1143057529231 1143134207814 1143132808822

独木星空谁 · 发表于 2021-10-21 05:17

素数29 统计7+8 理论占比实际占比占比绝对误差相对误差
0 1185512039071 3.57% 3.57143% 0.000002% 0.00005%
1 1143227804502 3.44% 3.44404% -0.000166% -0.00481%
2 1143194926962 3.44% 3.44394% -0.000067% -0.00193%
3 1143104452910 3.44% 3.44367% 0.000206% 0.00598%
4 1143153792071 3.44% 3.44382% 0.000057% 0.00167%
5 1143077456426 3.44% 3.44359% 0.000287% 0.00834%
6 1143189748202 3.44% 3.44393% -0.000051% -0.00148%
7 1143139442063 3.44% 3.44378% 0.000101% 0.00292%
8 1143088415121 3.44% 3.44362% 0.000254% 0.00739%
9 1143193682015 3.44% 3.44394% -0.000063% -0.00182%
10 1143177315379 3.44% 3.44389% -0.000013% -0.00039%
11 1143182898745 3.44% 3.44391% -0.000030% -0.00088%
12 1143195021093 3.44% 3.44394% -0.000067% -0.00194%
13 1143181534960 3.44% 3.44390% -0.000026% -0.00076%
14 1143157811280 3.44% 3.44383% 0.000045% 0.00131%
15 1143194496107 3.44% 3.44394% -0.000065% -0.00189%
16 1143178106086 3.44% 3.44389% -0.000016% -0.00046%
17 1143167311379 3.44% 3.44386% 0.000017% 0.00048%
18 1143155256996 3.44% 3.44382% 0.000053% 0.00154%
19 1143194168651 3.44% 3.44394% -0.000064% -0.00187%
20 1143158359358 3.44% 3.44383% 0.000044% 0.00127%
21 1143193428120 3.44% 3.44394% -0.000062% -0.00180%
22 1143146503191 3.44% 3.44380% 0.000079% 0.00230%
23 1143194297812 3.44% 3.44394% -0.000065% -0.00188%
24 1143243063736 3.44% 3.44409% -0.000212% -0.00614%
25 1143199292907 3.44% 3.44396% -0.000080% -0.00231%
26 1143232504838 3.44% 3.44406% -0.000180% -0.00522%
27 1143182160159 3.44% 3.44391% -0.000028% -0.00081%
28 1143136903976 3.44% 3.44377% 0.000108% 0.00314%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-21 05:17

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

独木星空谁 · 发表于 2021-10-21 05:18

素数29 统计7+10 理论占比实际占比占比绝对误差相对误差
0 1185511975239 3.57% 3.57143% 0.000002% 0.00005%
1 1143263617598 3.44% 3.44415% -0.000273% -0.00794%
2 1143200218506 3.44% 3.44396% -0.000082% -0.00239%
3 1143124568587 3.44% 3.44373% 0.000145% 0.00422%
4 1143191685695 3.44% 3.44393% -0.000057% -0.00165%
5 1143114977673 3.44% 3.44370% 0.000174% 0.00506%
6 1143198379334 3.44% 3.44395% -0.000077% -0.00223%
7 1143164960412 3.44% 3.44385% 0.000024% 0.00069%
8 1143117788669 3.44% 3.44371% 0.000166% 0.00482%
9 1143176164442 3.44% 3.44389% -0.000010% -0.00029%
10 1143167905732 3.44% 3.44386% 0.000015% 0.00043%
11 1143121307306 3.44% 3.44372% 0.000155% 0.00451%
12 1143170828801 3.44% 3.44387% 0.000006% 0.00018%
13 1143183104368 3.44% 3.44391% -0.000031% -0.00090%
14 1143196625503 3.44% 3.44395% -0.000072% -0.00208%
15 1143193315399 3.44% 3.44394% -0.000062% -0.00179%
16 1143148926314 3.44% 3.44381% 0.000072% 0.00209%
17 1143169408058 3.44% 3.44387% 0.000010% 0.00030%
18 1143194811867 3.44% 3.44394% -0.000066% -0.00192%
19 1143157545600 3.44% 3.44383% 0.000046% 0.00134%
20 1143191497854 3.44% 3.44393% -0.000056% -0.00163%
21 1143225495712 3.44% 3.44404% -0.000159% -0.00461%
22 1143157750453 3.44% 3.44383% 0.000045% 0.00132%
23 1143188251662 3.44% 3.44392% -0.000046% -0.00135%
24 1143200495427 3.44% 3.44396% -0.000083% -0.00242%
25 1143182322520 3.44% 3.44391% -0.000029% -0.00083%
26 1143211910006 3.44% 3.44400% -0.000118% -0.00342%
27 1143168826148 3.44% 3.44387% 0.000012% 0.00035%
28 1143057529231 3.44% 3.44353% 0.000347% 0.01009%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

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[原创]k生素数群的数量公式

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