[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-11-8 20:53

mod(n,15) 2at^2 2bt c 10周 11周 12周 13周 14周
1→→→ 36 -42 3 1593 1950 2343 2772 3237
2→→→ 33 -39 3 1458 1785 2145 2538 2964
3→→→ 33 -33 1 1486 1816 2179 2575 3004
4→→→ 27 -21 0 1245 1518 1818 2145 2499
5→→→ 36 -24 0 1680 2046 2448 2886 3360
6→→→ 31 -11 0 1495 1815 2166 2548 2961
7→→→ 39 -15 0 1875 2277 2718 3198 3717
8→→→ 36 -6 0 1770 2145 2556 3003 3486
9→→→ 35 -3 0 1735 2101 2502 2938 3409
10→→→ 33 3 0 1665 2013 2394 2808 3255
11→→→ 30 12 0 1560 1881 2232 2613 3024
12→→→ 31 13 0 1615 1947 2310 2704 3129
13→→→ 36 24 0 1920 2310 2736 3198 3696
14→→→ 36 24 0 1920 2310 2736 3198 3696
15→→0同 40 32 0 2160 2596 3072 3588 4144
一周汇总 512 -86 7 25177 30510 36355 42712 49581
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 20:53

mod(n,15) 6at^3 6bt^2 6ct d 5周 6周 7周
1→→→ 279 -336 57 0 4460 8085 13272
2→→→ 283 -285 2 0 4710 8480 13853
3→→→ 284 -264 -20 0 4800 8620 14056
4→→→ 279 -195 -78 0 4935 8796 14266
5→→→ 264 -156 -84 0 4780 8484 13720
6→→→ 268 -84 -124 0 5130 9020 14490
7→→→ 260 -24 -116 0 5220 9100 14532
8→→→ 273 27 -114 0 5705 9876 15694
9→→→ 283 84 -103 0 6160 10589 16744
10→→→ 277 129 -70 0 6250 10676 16807
11→→→ 288 180 -60 0 6700 11388 17864
12→→→ 261 231 6 0 6405 10788 16814
13→→→ 270 276 30 0 6800 11406 17724
14→→→ 257 357 106 0 6930 11500 17731
15→→0同 270 420 150 0 7500 12390 19040
一周汇总 4096 360 -418 0 86485 149198 236607
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 20:54

mod(n,15) 24at^4 24bt^3 24ct^2 24dt 6e 6周 7周
1→→→ 2140 -2680 -460 1000 0 91000 175140
2→→→ 2175 -2070 -1035 930 0 97500 186165
3→→→ 2160 -1380 -1320 540 0 102375 193830
4→→→ 2230 -940 -1630 340 0 109600 206430
5→→→ 2203 -278 -1759 -142 0 113786 212786
6→→→ 2215 150 -1855 -390 0 118080 219835
7→→→ 2180 780 -1820 -780 0 121815 225295
8→→→ 2155 1350 -1615 -1050 0 125835 231280
9→→→ 2155 1930 -1315 -1210 0 131465 240135
10→→→ 2173 2638 -889 -1378 0 139406 252875
11→→→ 2190 3140 -330 -1280 0 145705 262920
12→→→ 2230 3820 290 -1300 0 154910 277900
13→→→ 2200 4260 1100 -960 0 158550 282940
14→→→ 2200 4800 1940 -660 0 164745 292460
15→→0同 2162 5328 3070 -96 0 169281 298676
一周汇总 32768 20848 -7628 -6436 0 1944053 3558667
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 20:55

mod(n,15) 120at^5 120bt^4 120ct^3 120dt^2 120et 6f 10周
1→→→ 17538 -16260 -25470 11940 12252 0 13058721
2→→→ 17442 -10770 -28050 8070 13308 0 13411584
3→→→ 17415 -4505 -30505 2945 14650 0 13886550
4→→→ 17337 1380 -29625 -2280 13188 0 14314824
5→→→ 17463 7515 -28905 -7875 11802 0 14932296
6→→→ 17493 13480 -25585 -13480 8212 0 15477076
7→→→ 17568 19110 -21480 -18750 4272 0 16038231
8→→→ 17595 24840 -16155 -23580 -180 0 16578210
9→→→ 17453 30385 -8355 -27025 -5738 0 16983626
10→→→ 17472 36030 -300 -28830 -9972 0 17535144
11→→→ 17328 42120 11280 -28800 -15288 0 18018726
12→→→ 17433 47980 22635 -26020 -18108 0 18691266
13→→→ 17466 54390 36930 -21270 -21276 0 19375752
14→→→ 17553 60180 51435 -13020 -21828 0 20058456
15→→0同 17588 65860 67220 -1900 -20848 0 20701846
一周汇总 262144 371735 -24930 -189875 -35554 0 249062308
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 22:33

针对素53 针对素53 针对素53
统计3+51 统计3+52 统计3+53
638352840831 638352543899 5761454
626102531352 626081302670 637758389076
626082774565 626092289300 637677728720
626068887991 626100418192 638202021034
626086700630 626079680692 637954278512
626066425686 626061737925 638703267532
626080112475 626054756203 639256367116
626053150759 626068180133 639769136522
626050172483 626056224325 639498348184
626073962574 626025267169 639504109638
626049960853 626046612007 639313981656
626064121802 626090689623 638057984684
626080708072 626091270051 637896663972
626069004062 626097817972 637349325842
626096868024 626084308702 638265397028
626099181835 626069552946 637591306910
626081763754 626073646374 638167452310
626094153216 626095603123 638057984684
626051363552 626091692783 638150167948
626051183316 626071798855 638553469728
626073567218 626077256335 637925471242
626075240412 626063194985 638605322814
626074076009 626056789118 638927964238
626069692960 626082437315 638962532962
626088159589 626076276460 638057984684
626081768537 626085453818 637620114180
626049068626 626054291686 639890127056
626099391701 626099246175 637925471242
626089573211 626072745821 637994608690
626096351433 626074341215 638282681390
626070485459 626096102365 637539453824
626074501101 626090827768 638639891538
626088455485 626076933932 637395417474
626095640354 626052774911 638184736672
626083628128 626078182465 638680221716
626080060688 626083422777 638611084268
626105679435 626072948286 637418463290
626099915407 626097224877 637458793468
626067092692 626072936920 638795450796
626086327467 626081930040 637614352726
626059834148 626082086486 638824258066
626075868358 626089979024 638605322814
626058798558 626070934641 638835780974
626082478215 626083828071 638812735158
626088363339 626105737936 637285949848
626090334944 626087008557 638115599224
626086222253 626064049281 638766643526
626057051106 626083081722 638236589758
626073827720 626094755877 638184736672
626058172753 626084207540 638420956286
626064316171 626047756005 638714790440
626057915923 626037607587 639492586730
626094466884 626090451176 637792957800

独木星空谁 · 发表于 2021-11-8 22:33

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+51 理论占比实际占比占比绝对误差相对误差
0 638352840831 1.923077% 1.92308% 0.000000% 0.00001%
1 626102531352 1.886095% 1.88617% -0.000077% -0.00409%
2 626082774565 1.886095% 1.88611% -0.000018% -0.00094%
3 626068887991 1.886095% 1.88607% 0.000024% 0.00128%
4 626086700630 1.886095% 1.88612% -0.000029% -0.00156%
5 626066425686 1.886095% 1.88606% 0.000032% 0.00167%
6 626080112475 1.886095% 1.88610% -0.000010% -0.00051%
7 626053150759 1.886095% 1.88602% 0.000072% 0.00379%
8 626050172483 1.886095% 1.88601% 0.000081% 0.00427%
9 626073962574 1.886095% 1.88609% 0.000009% 0.00047%
10 626049960853 1.886095% 1.88601% 0.000081% 0.00430%
11 626064121802 1.886095% 1.88606% 0.000039% 0.00204%
12 626080708072 1.886095% 1.88611% -0.000011% -0.00061%
13 626069004062 1.886095% 1.88607% 0.000024% 0.00126%
14 626096868024 1.886095% 1.88615% -0.000060% -0.00319%
15 626099181835 1.886095% 1.88616% -0.000067% -0.00356%
16 626081763754 1.886095% 1.88611% -0.000015% -0.00078%
17 626094153216 1.886095% 1.88615% -0.000052% -0.00275%
18 626051363552 1.886095% 1.88602% 0.000077% 0.00408%
19 626051183316 1.886095% 1.88602% 0.000078% 0.00411%
20 626073567218 1.886095% 1.88608% 0.000010% 0.00053%
21 626075240412 1.886095% 1.88609% 0.000005% 0.00027%
22 626074076009 1.886095% 1.88609% 0.000009% 0.00045%
23 626069692960 1.886095% 1.88607% 0.000022% 0.00115%
24 626088159589 1.886095% 1.88613% -0.000034% -0.00180%
25 626081768537 1.886095% 1.88611% -0.000015% -0.00078%
26 626049068626 1.886095% 1.88601% 0.000084% 0.00445%
27 626099391701 1.886095% 1.88616% -0.000068% -0.00359%
28 626089573211 1.886095% 1.88613% -0.000038% -0.00202%
29 626096351433 1.886095% 1.88615% -0.000059% -0.00311%
30 626070485459 1.886095% 1.88608% 0.000019% 0.00103%
31 626074501101 1.886095% 1.88609% 0.000007% 0.00038%
32 626088455485 1.886095% 1.88613% -0.000035% -0.00184%
33 626095640354 1.886095% 1.88615% -0.000056% -0.00299%
34 626083628128 1.886095% 1.88611% -0.000020% -0.00107%
35 626080060688 1.886095% 1.88610% -0.000009% -0.00050%
36 626105679435 1.886095% 1.88618% -0.000087% -0.00460%
37 626099915407 1.886095% 1.88616% -0.000069% -0.00367%
38 626067092692 1.886095% 1.88607% 0.000030% 0.00157%
39 626086327467 1.886095% 1.88612% -0.000028% -0.00150%
40 626059834148 1.886095% 1.88604% 0.000051% 0.00273%
41 626075868358 1.886095% 1.88609% 0.000003% 0.00017%
42 626058798558 1.886095% 1.88604% 0.000055% 0.00289%
43 626082478215 1.886095% 1.88611% -0.000017% -0.00089%
44 626088363339 1.886095% 1.88613% -0.000035% -0.00183%
45 626090334944 1.886095% 1.88614% -0.000040% -0.00214%
46 626086222253 1.886095% 1.88612% -0.000028% -0.00149%
47 626057051106 1.886095% 1.88603% 0.000060% 0.00317%
48 626073827720 1.886095% 1.88609% 0.000009% 0.00049%
49 626058172753 1.886095% 1.88604% 0.000056% 0.00299%
50 626064316171 1.886095% 1.88606% 0.000038% 0.00201%
51 626057915923 1.886095% 1.88604% 0.000057% 0.00303%
52 626094466884 1.886095% 1.88615% -0.000053% -0.00280%
合计 33194352194116 100.000000% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-11-8 22:34

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+52 理论占比实际占比占比绝对误差相对误差
0 638352543899 1.923077% 1.92308% 0.000001% 0.00006%
1 626081302670 1.886095% 1.88611% -0.000013% -0.00070%
2 626092289300 1.886095% 1.88614% -0.000046% -0.00246%
3 626100418192 1.886095% 1.88617% -0.000071% -0.00376%
4 626079680692 1.886095% 1.88610% -0.000008% -0.00044%
5 626061737925 1.886095% 1.88605% 0.000046% 0.00242%
6 626054756203 1.886095% 1.88603% 0.000067% 0.00354%
7 626068180133 1.886095% 1.88607% 0.000026% 0.00139%
8 626056224325 1.886095% 1.88603% 0.000062% 0.00330%
9 626025267169 1.886095% 1.88594% 0.000156% 0.00825%
10 626046612007 1.886095% 1.88600% 0.000091% 0.00484%
11 626090689623 1.886095% 1.88614% -0.000042% -0.00220%
12 626091270051 1.886095% 1.88614% -0.000043% -0.00229%
13 626097817972 1.886095% 1.88616% -0.000063% -0.00334%
14 626084308702 1.886095% 1.88612% -0.000022% -0.00118%
15 626069552946 1.886095% 1.88607% 0.000022% 0.00117%
16 626073646374 1.886095% 1.88608% 0.000010% 0.00052%
17 626095603123 1.886095% 1.88615% -0.000056% -0.00299%
18 626091692783 1.886095% 1.88614% -0.000045% -0.00236%
19 626071798855 1.886095% 1.88608% 0.000015% 0.00082%
20 626077256335 1.886095% 1.88610% -0.000001% -0.00006%
21 626063194985 1.886095% 1.88605% 0.000041% 0.00219%
22 626056789118 1.886095% 1.88603% 0.000061% 0.00321%
23 626082437315 1.886095% 1.88611% -0.000017% -0.00088%
24 626076276460 1.886095% 1.88609% 0.000002% 0.00010%
25 626085453818 1.886095% 1.88612% -0.000026% -0.00136%
26 626054291686 1.886095% 1.88603% 0.000068% 0.00361%
27 626099246175 1.886095% 1.88616% -0.000067% -0.00357%
28 626072745821 1.886095% 1.88608% 0.000013% 0.00066%
29 626074341215 1.886095% 1.88609% 0.000008% 0.00041%
30 626096102365 1.886095% 1.88615% -0.000058% -0.00307%
31 626090827768 1.886095% 1.88614% -0.000042% -0.00222%
32 626076933932 1.886095% 1.88609% 0.000000% 0.00000%
33 626052774911 1.886095% 1.88602% 0.000073% 0.00385%
34 626078182465 1.886095% 1.88610% -0.000004% -0.00020%
35 626083422777 1.886095% 1.88611% -0.000020% -0.00104%
36 626072948286 1.886095% 1.88608% 0.000012% 0.00063%
37 626097224877 1.886095% 1.88616% -0.000061% -0.00324%
38 626072936920 1.886095% 1.88608% 0.000012% 0.00063%
39 626081930040 1.886095% 1.88611% -0.000015% -0.00080%
40 626082086486 1.886095% 1.88611% -0.000016% -0.00083%
41 626089979024 1.886095% 1.88613% -0.000039% -0.00209%
42 626070934641 1.886095% 1.88608% 0.000018% 0.00095%
43 626083828071 1.886095% 1.88612% -0.000021% -0.00111%
44 626105737936 1.886095% 1.88618% -0.000087% -0.00460%
45 626087008557 1.886095% 1.88613% -0.000030% -0.00161%
46 626064049281 1.886095% 1.88606% 0.000039% 0.00205%
47 626083081722 1.886095% 1.88611% -0.000019% -0.00099%
48 626094755877 1.886095% 1.88615% -0.000054% -0.00285%
49 626084207540 1.886095% 1.88612% -0.000022% -0.00117%
50 626047756005 1.886095% 1.88601% 0.000088% 0.00466%
51 626037607587 1.886095% 1.88598% 0.000118% 0.00628%
52 626090451176 1.886095% 1.88614% -0.000041% -0.00216%
合计 33194352194116 100.000000% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-11-8 23:32

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
截止2021年11月08日周一23:30分浏览量74432,回复6289热度146度。参照浏览量72664，差距 1768
                                                浏览量 ↑ 550, 回复↑  20热度↑ 。参照浏览量↑ 63,  差距 ↑487
打的它二五二五的。
晚安!

独木星空谁 · 发表于 2021-11-9 07:10

组合156 1 2 3 4 6 8 10 12 mod(n,15)
mod(n,15) at b 100周 101周 102周 103周 104周 105周
1→→→ 5 -5 495 500 505 510 515 520
2→→→ 1 0 100 101 102 103 104 105
3→→→ 6 -4 596 602 608 614 620 626
4→→→ 3 0 300 303 306 309 312 315
5→→→ 7 -3 697 704 711 718 725 732
6→→→ 3 0 300 303 306 309 312 315
7→→→ 6 -2 598 604 610 616 622 628
8→→→ 3 0 300 303 306 309 312 315
9→→→ 5 -1 499 504 509 514 519 524
10→→→ 4 0 400 404 408 412 416 420
11→→→ 4 0 400 404 408 412 416 420
12→→→ 5 0 500 505 510 515 520 525
13→→→ 4 0 400 404 408 412 416 420
14→→→ 6 0 600 606 612 618 624 630
15→→0 2 0 200 202 204 206 208 210
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 2021-11-9 07:10

mod(n,15) 2at^2 2bt c 10周 11周 12周 13周 14周
1→→→ 30 -30 0 1350 1650 1980 2340 2730
2→→→ 39 -51 6 1701 2085 2508 2970 3471
3→→→ 29 -27 0 1315 1606 1926 2275 2653
4→→→ 33 -33 3 1488 1818 2181 2577 3006
5→→→ 33 -21 0 1545 1881 2250 2652 3087
6→→→ 32 -14 1 1531 1860 2221 2614 3039
7→→→ 39 -15 0 1875 2277 2718 3198 3717
8→→→ 30 0 0 1500 1815 2160 2535 2940
9→→→ 41 -9 0 2005 2431 2898 3406 3955
10→→→ 27 9 0 1395 1683 1998 2340 2709
11→→→ 42 0 0 2100 2541 3024 3549 4116
12→→→ 25 19 0 1345 1617 1914 2236 2583
13→→→ 42 12 0 2160 2607 3096 3627 4200
14→→→ 27 27 0 1485 1782 2106 2457 2835
15→→0同 43 23 0 2265 2728 3234 3783 4375
一周汇总 512 -110 10 25060 30381 36214 42559 49416
x+y+z=N 正整数解组数及系数 a,b,c 的值

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