[原创]k生素数群的数量公式

白新岭 · 发表于 2021-10-21 23:03

针对素29 针对素29 针对素29
统计9+13 统计9+14 统计9+15
1185512126411 1185512224657 1185511975239
1143163886743 1143174196490 1143196625503
1143109548781 1143157249939 1143057529231
1143147491991 1143157243182 1143183104368
1143179139018 1143174236636 1143168826148
1143216879943 1143162457279 1143170828801
1143263828525 1143183714770 1143211910006
1143146245858 1143095005326 1143121307306
1143140751682 1143163330760 1143182322520
1143156079152 1143158851383 1143167905732
1143200316137 1143141461159 1143200495427
1143163286150 1143169155182 1143176164442
1143177133783 1143189657158 1143188251662
1143176011841 1143224178550 1143117788669
1143160175095 1143159168198 1143157750453
1143157706465 1143163371574 1143164960412
1143175771368 1143119030269 1143225495712
1143180269353 1143197327651 1143198379334
1143157262368 1143198863052 1143191497854
1143067516597 1143174227038 1143114977673
1143180398132 1143166224821 1143157545600
1143143058312 1143210697544 1143191685695
1143244931167 1143220965505 1143194811867
1143105155917 1143152913392 1143124568587
1143204612964 1143178053273 1143169408058
1143211791828 1143194313589 1143200218506
1143161526285 1143174615431 1143148926314
1143207156225 1143163907408 1143263617598
1143242136025 1143215552900 1143193315399

白新岭 · 发表于 2021-10-21 23:03

素数29 统计9+13 理论占比实际占比占比绝对误差相对误差
0 1185512126411 3.57% 3.57143% 0.000001% 0.00004%
1 1143163886743 3.44% 3.44385% 0.000027% 0.00078%
2 1143109548781 3.44% 3.44369% 0.000191% 0.00554%
3 1143147491991 3.44% 3.44380% 0.000076% 0.00222%
4 1143179139018 3.44% 3.44390% -0.000019% -0.00055%
5 1143216879943 3.44% 3.44401% -0.000133% -0.00385%
6 1143263828525 3.44% 3.44415% -0.000274% -0.00796%
7 1143146245858 3.44% 3.44380% 0.000080% 0.00233%
8 1143140751682 3.44% 3.44378% 0.000097% 0.00281%
9 1143156079152 3.44% 3.44383% 0.000051% 0.00147%
10 1143200316137 3.44% 3.44396% -0.000083% -0.00240%
11 1143163286150 3.44% 3.44385% 0.000029% 0.00084%
12 1143177133783 3.44% 3.44389% -0.000013% -0.00038%
13 1143176011841 3.44% 3.44389% -0.000010% -0.00028%
14 1143160175095 3.44% 3.44384% 0.000038% 0.00111%
15 1143157706465 3.44% 3.44383% 0.000046% 0.00132%
16 1143175771368 3.44% 3.44389% -0.000009% -0.00026%
17 1143180269353 3.44% 3.44390% -0.000022% -0.00065%
18 1143157262368 3.44% 3.44383% 0.000047% 0.00136%
19 1143067516597 3.44% 3.44356% 0.000317% 0.00921%
20 1143180398132 3.44% 3.44390% -0.000023% -0.00066%
21 1143143058312 3.44% 3.44379% 0.000090% 0.00261%
22 1143244931167 3.44% 3.44409% -0.000217% -0.00631%
23 1143105155917 3.44% 3.44367% 0.000204% 0.00592%
24 1143204612964 3.44% 3.44397% -0.000096% -0.00278%
25 1143211791828 3.44% 3.44399% -0.000117% -0.00341%
26 1143161526285 3.44% 3.44384% 0.000034% 0.00099%
27 1143207156225 3.44% 3.44398% -0.000103% -0.00300%
28 1143242136025 3.44% 3.44409% -0.000209% -0.00606%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

白新岭 · 发表于 2021-10-21 23:04

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

白新岭 · 发表于 2021-10-21 23:04

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

白新岭 · 发表于 2021-10-21 23:16

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
截止2021年10月21日周四23:14分浏览量66334,回复5626热度143度。参照浏览量71334，差距 5000
浏览量 ↑ 243.回复↑ 69热度↑ 1 。参照浏览量↑ 41，差距↓ 202
晚安！

独木星空谁 · 发表于 2021-10-22 14:26

组合101 1 2 3 4 5 10 11 12 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→→→ 3 -2 298 301 304 307 310 313
3→→→ 2 0 200 202 204 206 208 210
4→→→ 3 0 300 303 306 309 312 315
5→→→ 5 -1 499 504 509 514 519 524
6→→→ 7 -2 698 705 712 719 726 733
7→→→ 7 -3 697 704 711 718 725 732
8→→→ 5 -2 498 503 508 513 518 523
9→→→ 3 -1 299 302 305 308 311 314
10→→→ 1 0 100 101 102 103 104 105
11→→→ 2 0 200 202 204 206 208 210
12→→→ 4 0 400 404 408 412 416 420
13→→→ 6 0 600 606 612 618 624 630
14→→→ 6 0 600 606 612 618 624 630
15→→0 6 0 600 606 612 618 624 630
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 2021-10-22 14:26

mod(n,15) 2at^2 2bt c 10周 11周 12周 13周 14周
1→→→ 39 -45 3 1728 2115 2541 3006 3510
2→→→ 45 -57 6 1971 2415 2904 3438 4017
3→→→ 44 -56 7 1927 2361 2839 3361 3927
4→→→ 36 -42 6 1596 1953 2346 2775 3240
5→→→ 27 -21 3 1248 1521 1821 2148 2502
6→→→ 23 -5 1 1126 1365 1627 1912 2220
7→→→ 27 3 0 1365 1650 1962 2301 2667
8→→→ 36 0 0 1800 2178 2592 3042 3528
9→→→ 43 -5 0 2125 2574 3066 3601 4179
10→→→ 45 -9 0 2205 2673 3186 3744 4347
11→→→ 39 -9 0 1905 2310 2754 3237 3759
12→→→ 31 -5 0 1525 1848 2202 2587 3003
13→→→ 24 6 0 1230 1485 1764 2067 2394
14→→→ 24 18 0 1290 1551 1836 2145 2478
15→→0同 29 27 0 1585 1903 2250 2626 3031
一周汇总 512 -200 26 24626 29902 35690 41990 48802
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 2021-10-22 14:27

mod(n,15) 6at^3 6bt^2 6ct d 5周 6周 7周
1→→→ 233 -396 223 -10 3380 6225 10336
2→→→ 224 -252 52 -4 3656 6600 10804
3→→→ 247 -198 -43 -1 4284 7660 12452
4→→→ 287 -219 -62 0 5015 8956 14546
5→→→ 317 -264 -29 0 5480 9799 15932
6→→→ 318 -270 12 0 5510 9840 15988
7→→→ 290 -216 46 0 5180 9190 14868
8→→→ 251 -99 58 0 4865 8500 13608
9→→→ 228 36 48 0 4940 8472 13384
10→→→ 233 153 22 0 5510 9328 14595
11→→→ 266 216 -2 0 6440 10870 16968
12→→→ 303 225 -18 0 7235 12240 19138
13→→→ 322 204 -22 0 7540 12794 20048
14→→→ 307 195 2 0 7210 12224 19145
15→→0同 270 228 54 0 6620 11142 17360
一周汇总 4096 -657 341 -15 82865 143840 229172
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 2021-10-22 14:28

mod(n,15) 24at^4 24bt^3 24ct^2 24dt 6e 6周 7周 8周
1→→→ 2390 -4360 1630 340 0 92350 180215 319340
2→→→ 2360 -4180 1900 -80 0 92650 180215 318640
3→→→ 2215 -3410 1685 -490 0 91325 176155 309610
4→→→ 2050 -2220 950 -780 0 91950 175070 304780
5→→→ 1973 -978 -89 -882 0 97386 182966 315330
6→→→ 2035 -70 -1015 -830 0 107530 200270 342830
7→→→ 2195 370 -1535 -670 0 119390 221550 378190
8→→→ 2350 440 -1510 -440 0 128485 238175 406280
9→→→ 2395 470 -1015 -170 0 131995 244195 416010
10→→→ 2303 762 -239 78 0 130881 240821 408690
11→→→ 2130 1460 630 220 0 129160 235305 396420
12→→→ 1995 2470 1425 230 0 132155 237860 397050
13→→→ 1985 3550 2035 110 0 142220 253505 419970
14→→→ 2110 4440 2390 -60 0 157470 279405 461180
15→→0同 2282 4980 2602 -120 0 171921 304745 502600
一周汇总 32768 3724 9844 -3544 0 1816868 3350452 5696920
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 2021-10-22 14:32

mod(n,15) 120at^5 120bt^4 120ct^3 120dt^2 120et 6f 10周 11周
1→→→ 16560 -24360 8400 -10560 9960 0 11832030 19336350
2→→→ 16965 -17460 -7125 -2160 9780 0 12622140 20558010
3→→→ 17707 -14055 -15285 3495 8138 0 13460799 21884324
4→→→ 18297 -12480 -15885 4920 5148 0 14079654 22862829
5→→→ 18345 -10185 -11475 2265 1050 0 14345100 23253120
6→→→ 17816 -5170 -5820 -3230 -3476 0 14364352 23211793
7→→→ 17061 2805 -1695 -10005 -7446 0 14428167 23210088
8→→→ 16578 12360 -30 -16500 -9888 0 14830176 23739342
9→→→ 16693 21285 -55 -20925 -10278 0 15665831 24977832
10→→→ 17325 27930 135 -21630 -8640 0 16747380 26638326
11→→→ 18060 31980 2760 -17580 -5700 0 17722875 28152366
12→→→ 18405 34530 9735 -9030 -2520 0 18288390 29012786
13→→→ 18138 37410 21870 2550 -48 0 18416871 29152332
14→→→ 17433 42210 38595 14850 1032 0 18379086 28989807
15→→0同 16761 49495 57765 25625 594 0 18594862 29200204
一周汇总 262144 176295 81890 -57915 -12294 0 233777713 374179509
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
时刻宣布这种解法的原著作权，不是“有心栽花花不开”，而是“有心栽柳柳成荫”。

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[原创]k生素数群的数量公式

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