[原创]k生素数群的数量公式

独舟星海 · 发表于 2021-11-19 15:48

mod(n,15) 120at^5 120bt^4 120ct^3 120dt^2 120et 6f 10周
1→→→ 17529 -42975 46065 -29385 10566 -90 11386503
2→→→ 17397 -36150 33555 -23610 9528 -36 11745738
3→→→ 17457 -30525 24105 -20835 9918 -6 12188088
4→→→ 17493 -24780 15735 -18780 10332 0 12628836
5→→→ 17481 -18645 7305 -13755 7614 0 13063797
6→→→ 17457 -13080 3315 -11280 3708 0 13476034
7→→→ 17565 -7845 2085 -10155 -930 0 13992585
8→→→ 17445 -1620 1935 -9180 -6060 0 14410470
9→→→ 17449 4325 3805 -9725 -9134 0 14924093
10→→→ 17493 10170 7035 -10530 -9768 0 15474036
11→→→ 17445 16635 9765 -9075 -8130 0 15996885
12→→→ 17474 22280 13870 -4880 -4824 0 16529448
13→→→ 17529 27855 19845 945 -654 0 17094858
14→→→ 17481 33510 27435 9150 3144 0 17596512
15→→0同 17449 39025 37705 17975 4966 0 18122518
一周汇总 262144 -21820 253560 -143120 20276 -132 218630401
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 2021-11-19 20:04

针对素53 针对素53 针对素53 针对素53
统计4+32 统计4+33 统计4+34 统计4+35
638352770289 638352710821 638352543899 638352606447
626093236451 626079781714 626084308702 626099258344
626099402176 626076980047 626072745821 626078754040
626072085200 626061289729 626070934641 626037976686
626052646710 626061390950 626100418192 626085461246
626071615820 626096892861 626095603123 626060534200
626088482757 626086039491 626090827768 626082092528
626092418893 626102001624 626087008557 626072586013
626061285738 626067735253 626054756203 626053169870
626086344922 626083914410 626077256335 626099011646
626091202967 626084775623 626078182465 626074217934
626062796874 626091512719 626094755877 626053053429
626049969570 626070334391 626025267169 626032719217
626083090175 626047817158 626082437315 626055834881
626072274540 626089176702 626097224877 626097333931
626074157051 626060670808 626037607587 626060847746
626092575360 626076566043 626091270051 626100373926
626038578009 626050917981 626054291686 626030004549
626060892490 626072199394 626082086486 626060845875
626096448352 626083468891 626081302670 626083492238
626086638468 626084590369 626069552946 626110245086
626071345171 626048804263 626074341215 626066490612
626076879118 626080953283 626083828071 626069717908
626092762147 626078954776 626079680692 626077812729
626071596400 626053726069 626091692783 626079455455
626102859252 626113306235 626076933932 626086263684
626065287709 626077723761 626064049281 626063554338
626043452716 626044793095 626068180133 626038590377
626070655567 626077654178 626063194985 626091255500
626077699388 626063936190 626083422777 626079835837
626045961187 626064537069 626084207540 626079024867
626053579038 626036714603 626046612007 626072633286
626085503040 626090826706 626076276460 626098204790
626072246371 626071242207 626072936920 626063512584
626090831677 626106048667 626090451176 626096551278
626099427026 626074193788 626097817972 626099164162
626066731375 626102378277 626099246175 626087449555
626086030896 626091260836 626089979024 626063370931
626080827943 626080528658 626092289300 626091339874
626093434429 626084432234 626073646374 626088819276
626098173638 626094745542 626096102365 626098207817
626115914773 626085809560 626105737936 626110379711
626072509170 626080974648 626061737925 626062257171
626050989549 626079984852 626071798855 626090089900
626085858179 626087723943 626052774911 626087015247
626093379471 626082331958 626083081722 626075360826
626066291081 626032871409 626056224325 626036269192
626069449321 626057452112 626056789118 626077092700
626089424749 626096673291 626072948286 626099506194
626061838274 626060981159 626047756005 626087949358
626060530521 626078871147 626090689623 626090846044
626079436081 626094231407 626085453818 626094775030
626082376047 626096761214 626081930040 626068978051

独木星空谁 · 发表于 2021-11-19 20:05

数据分析素数53 素数53 素数53 素数53 素数53
素数53 统计4+32 理论占比实际占比占比绝对误差相对误差
0 638352770289 1.923077% 1.92308% 0.000000% 0.00002%
1 626093236451 1.886095% 1.88614% -0.000049% -0.00261%
2 626099402176 1.886095% 1.88616% -0.000068% -0.00359%
3 626072085200 1.886095% 1.88608% 0.000015% 0.00077%
4 626052646710 1.886095% 1.88602% 0.000073% 0.00388%
5 626071615820 1.886095% 1.88608% 0.000016% 0.00085%
6 626088482757 1.886095% 1.88613% -0.000035% -0.00185%
7 626092418893 1.886095% 1.88614% -0.000047% -0.00248%
8 626061285738 1.886095% 1.88605% 0.000047% 0.00250%
9 626086344922 1.886095% 1.88612% -0.000028% -0.00151%
10 626091202967 1.886095% 1.88614% -0.000043% -0.00228%
11 626062796874 1.886095% 1.88605% 0.000043% 0.00225%
12 626049969570 1.886095% 1.88601% 0.000081% 0.00430%
13 626083090175 1.886095% 1.88611% -0.000019% -0.00099%
14 626072274540 1.886095% 1.88608% 0.000014% 0.00074%
15 626074157051 1.886095% 1.88609% 0.000008% 0.00044%
16 626092575360 1.886095% 1.88614% -0.000047% -0.00250%
17 626038578009 1.886095% 1.88598% 0.000115% 0.00612%
18 626060892490 1.886095% 1.88605% 0.000048% 0.00256%
19 626096448352 1.886095% 1.88615% -0.000059% -0.00312%
20 626086638468 1.886095% 1.88612% -0.000029% -0.00155%
21 626071345171 1.886095% 1.88608% 0.000017% 0.00089%
22 626076879118 1.886095% 1.88609% 0.000000% 0.00000%
23 626092762147 1.886095% 1.88614% -0.000048% -0.00253%
24 626071596400 1.886095% 1.88608% 0.000016% 0.00085%
25 626102859252 1.886095% 1.88617% -0.000078% -0.00414%
26 626065287709 1.886095% 1.88606% 0.000035% 0.00186%
27 626043452716 1.886095% 1.88599% 0.000101% 0.00534%
28 626070655567 1.886095% 1.88608% 0.000019% 0.00100%
29 626077699388 1.886095% 1.88610% -0.000002% -0.00013%
30 626045961187 1.886095% 1.88600% 0.000093% 0.00494%
31 626053579038 1.886095% 1.88602% 0.000070% 0.00373%
32 626085503040 1.886095% 1.88612% -0.000026% -0.00137%
33 626072246371 1.886095% 1.88608% 0.000014% 0.00074%
34 626090831677 1.886095% 1.88614% -0.000042% -0.00222%
35 626099427026 1.886095% 1.88616% -0.000068% -0.00360%
36 626066731375 1.886095% 1.88606% 0.000031% 0.00163%
37 626086030896 1.886095% 1.88612% -0.000027% -0.00146%
38 626080827943 1.886095% 1.88611% -0.000012% -0.00063%
39 626093434429 1.886095% 1.88614% -0.000050% -0.00264%
40 626098173638 1.886095% 1.88616% -0.000064% -0.00340%
41 626115914773 1.886095% 1.88621% -0.000118% -0.00623%
42 626072509170 1.886095% 1.88608% 0.000013% 0.00070%
43 626050989549 1.886095% 1.88602% 0.000078% 0.00414%
44 626085858179 1.886095% 1.88612% -0.000027% -0.00143%
45 626093379471 1.886095% 1.88614% -0.000050% -0.00263%
46 626066291081 1.886095% 1.88606% 0.000032% 0.00170%
47 626069449321 1.886095% 1.88607% 0.000022% 0.00119%
48 626089424749 1.886095% 1.88613% -0.000038% -0.00200%
49 626061838274 1.886095% 1.88605% 0.000045% 0.00241%
50 626060530521 1.886095% 1.88605% 0.000049% 0.00262%
51 626079436081 1.886095% 1.88610% -0.000008% -0.00040%
52 626082376047 1.886095% 1.88611% -0.000016% -0.00087%
合计 33194352194116 100.000000% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-11-19 20:05

数据分析素数53 素数53 素数53 素数53 素数53
素数53 统计4+33 理论占比实际占比占比绝对误差相对误差
0 638352710821 1.923077% 1.92308% 0.000001% 0.00003%
1 626079781714 1.886095% 1.88610% -0.000009% -0.00046%
2 626076980047 1.886095% 1.88609% 0.000000% -0.00001%
3 626061289729 1.886095% 1.88605% 0.000047% 0.00249%
4 626061390950 1.886095% 1.88605% 0.000047% 0.00248%
5 626096892861 1.886095% 1.88615% -0.000060% -0.00319%
6 626086039491 1.886095% 1.88612% -0.000028% -0.00146%
7 626102001624 1.886095% 1.88617% -0.000076% -0.00401%
8 626067735253 1.886095% 1.88607% 0.000028% 0.00147%
9 626083914410 1.886095% 1.88612% -0.000021% -0.00112%
10 626084775623 1.886095% 1.88612% -0.000024% -0.00126%
11 626091512719 1.886095% 1.88614% -0.000044% -0.00233%
12 626070334391 1.886095% 1.88607% 0.000020% 0.00105%
13 626047817158 1.886095% 1.88601% 0.000088% 0.00465%
14 626089176702 1.886095% 1.88613% -0.000037% -0.00196%
15 626060670808 1.886095% 1.88605% 0.000049% 0.00259%
16 626076566043 1.886095% 1.88609% 0.000001% 0.00005%
17 626050917981 1.886095% 1.88602% 0.000078% 0.00415%
18 626072199394 1.886095% 1.88608% 0.000014% 0.00075%
19 626083468891 1.886095% 1.88611% -0.000020% -0.00105%
20 626084590369 1.886095% 1.88612% -0.000023% -0.00123%
21 626048804263 1.886095% 1.88601% 0.000085% 0.00449%
22 626080953283 1.886095% 1.88611% -0.000012% -0.00065%
23 626078954776 1.886095% 1.88610% -0.000006% -0.00033%
24 626053726069 1.886095% 1.88602% 0.000070% 0.00370%
25 626113306235 1.886095% 1.88620% -0.000110% -0.00581%
26 626077723761 1.886095% 1.88610% -0.000002% -0.00013%
27 626044793095 1.886095% 1.88600% 0.000097% 0.00513%
28 626077654178 1.886095% 1.88610% -0.000002% -0.00012%
29 626063936190 1.886095% 1.88606% 0.000039% 0.00207%
30 626064537069 1.886095% 1.88606% 0.000037% 0.00198%
31 626036714603 1.886095% 1.88597% 0.000121% 0.00642%
32 626090826706 1.886095% 1.88614% -0.000042% -0.00222%
33 626071242207 1.886095% 1.88608% 0.000017% 0.00091%
34 626106048667 1.886095% 1.88618% -0.000088% -0.00465%
35 626074193788 1.886095% 1.88609% 0.000008% 0.00043%
36 626102378277 1.886095% 1.88617% -0.000077% -0.00407%
37 626091260836 1.886095% 1.88614% -0.000043% -0.00229%
38 626080528658 1.886095% 1.88611% -0.000011% -0.00058%
39 626084432234 1.886095% 1.88612% -0.000023% -0.00120%
40 626094745542 1.886095% 1.88615% -0.000054% -0.00285%
41 626085809560 1.886095% 1.88612% -0.000027% -0.00142%
42 626080974648 1.886095% 1.88611% -0.000012% -0.00065%
43 626079984852 1.886095% 1.88610% -0.000009% -0.00049%
44 626087723943 1.886095% 1.88613% -0.000033% -0.00173%
45 626082331958 1.886095% 1.88611% -0.000016% -0.00087%
46 626032871409 1.886095% 1.88596% 0.000133% 0.00703%
47 626057452112 1.886095% 1.88604% 0.000059% 0.00311%
48 626096673291 1.886095% 1.88615% -0.000060% -0.00316%
49 626060981159 1.886095% 1.88605% 0.000048% 0.00254%
50 626078871147 1.886095% 1.88610% -0.000006% -0.00031%
51 626094231407 1.886095% 1.88615% -0.000052% -0.00277%
52 626096761214 1.886095% 1.88615% -0.000060% -0.00317%
合计 33194352194116 100.000000% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-11-19 20:06

数据分析素数53 素数53 素数53 素数53 素数53
素数53 统计4+34 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 626084308702 1.886095% 1.88612% -0.000022% -0.00118%
2 626072745821 1.886095% 1.88608% 0.000013% 0.00066%
3 626070934641 1.886095% 1.88608% 0.000018% 0.00095%
4 626100418192 1.886095% 1.88617% -0.000071% -0.00376%
5 626095603123 1.886095% 1.88615% -0.000056% -0.00299%
6 626090827768 1.886095% 1.88614% -0.000042% -0.00222%
7 626087008557 1.886095% 1.88613% -0.000030% -0.00161%
8 626054756203 1.886095% 1.88603% 0.000067% 0.00354%
9 626077256335 1.886095% 1.88610% -0.000001% -0.00006%
10 626078182465 1.886095% 1.88610% -0.000004% -0.00020%
11 626094755877 1.886095% 1.88615% -0.000054% -0.00285%
12 626025267169 1.886095% 1.88594% 0.000156% 0.00825%
13 626082437315 1.886095% 1.88611% -0.000017% -0.00088%
14 626097224877 1.886095% 1.88616% -0.000061% -0.00324%
15 626037607587 1.886095% 1.88598% 0.000118% 0.00628%
16 626091270051 1.886095% 1.88614% -0.000043% -0.00229%
17 626054291686 1.886095% 1.88603% 0.000068% 0.00361%
18 626082086486 1.886095% 1.88611% -0.000016% -0.00083%
19 626081302670 1.886095% 1.88611% -0.000013% -0.00070%
20 626069552946 1.886095% 1.88607% 0.000022% 0.00117%
21 626074341215 1.886095% 1.88609% 0.000008% 0.00041%
22 626083828071 1.886095% 1.88612% -0.000021% -0.00111%
23 626079680692 1.886095% 1.88610% -0.000008% -0.00044%
24 626091692783 1.886095% 1.88614% -0.000045% -0.00236%
25 626076933932 1.886095% 1.88609% 0.000000% 0.00000%
26 626064049281 1.886095% 1.88606% 0.000039% 0.00205%
27 626068180133 1.886095% 1.88607% 0.000026% 0.00139%
28 626063194985 1.886095% 1.88605% 0.000041% 0.00219%
29 626083422777 1.886095% 1.88611% -0.000020% -0.00104%
30 626084207540 1.886095% 1.88612% -0.000022% -0.00117%
31 626046612007 1.886095% 1.88600% 0.000091% 0.00484%
32 626076276460 1.886095% 1.88609% 0.000002% 0.00010%
33 626072936920 1.886095% 1.88608% 0.000012% 0.00063%
34 626090451176 1.886095% 1.88614% -0.000041% -0.00216%
35 626097817972 1.886095% 1.88616% -0.000063% -0.00334%
36 626099246175 1.886095% 1.88616% -0.000067% -0.00357%
37 626089979024 1.886095% 1.88613% -0.000039% -0.00209%
38 626092289300 1.886095% 1.88614% -0.000046% -0.00246%
39 626073646374 1.886095% 1.88608% 0.000010% 0.00052%
40 626096102365 1.886095% 1.88615% -0.000058% -0.00307%
41 626105737936 1.886095% 1.88618% -0.000087% -0.00460%
42 626061737925 1.886095% 1.88605% 0.000046% 0.00242%
43 626071798855 1.886095% 1.88608% 0.000015% 0.00082%
44 626052774911 1.886095% 1.88602% 0.000073% 0.00385%
45 626083081722 1.886095% 1.88611% -0.000019% -0.00099%
46 626056224325 1.886095% 1.88603% 0.000062% 0.00330%
47 626056789118 1.886095% 1.88603% 0.000061% 0.00321%
48 626072948286 1.886095% 1.88608% 0.000012% 0.00063%
49 626047756005 1.886095% 1.88601% 0.000088% 0.00466%
50 626090689623 1.886095% 1.88614% -0.000042% -0.00220%
51 626085453818 1.886095% 1.88612% -0.000026% -0.00136%
52 626081930040 1.886095% 1.88611% -0.000015% -0.00080%
合计 33194352194116 100.000000% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-11-19 20:06

数据分析素数53 素数53 素数53 素数53 素数53
素数53 统计4+35 理论占比实际占比占比绝对误差相对误差
0 638352606447 1.923077% 1.92308% 0.000001% 0.00005%
1 626099258344 1.886095% 1.88616% -0.000067% -0.00357%
2 626078754040 1.886095% 1.88610% -0.000006% -0.00029%
3 626037976686 1.886095% 1.88598% 0.000117% 0.00622%
4 626085461246 1.886095% 1.88612% -0.000026% -0.00137%
5 626060534200 1.886095% 1.88605% 0.000049% 0.00262%
6 626082092528 1.886095% 1.88611% -0.000016% -0.00083%
7 626072586013 1.886095% 1.88608% 0.000013% 0.00069%
8 626053169870 1.886095% 1.88602% 0.000072% 0.00379%
9 626099011646 1.886095% 1.88616% -0.000067% -0.00353%
10 626074217934 1.886095% 1.88609% 0.000008% 0.00043%
11 626053053429 1.886095% 1.88602% 0.000072% 0.00381%
12 626032719217 1.886095% 1.88596% 0.000133% 0.00706%
13 626055834881 1.886095% 1.88603% 0.000063% 0.00337%
14 626097333931 1.886095% 1.88616% -0.000062% -0.00326%
15 626060847746 1.886095% 1.88605% 0.000048% 0.00257%
16 626100373926 1.886095% 1.88617% -0.000071% -0.00375%
17 626030004549 1.886095% 1.88595% 0.000141% 0.00749%
18 626060845875 1.886095% 1.88605% 0.000048% 0.00257%
19 626083492238 1.886095% 1.88611% -0.000020% -0.00105%
20 626110245086 1.886095% 1.88620% -0.000100% -0.00532%
21 626066490612 1.886095% 1.88606% 0.000031% 0.00166%
22 626069717908 1.886095% 1.88607% 0.000022% 0.00115%
23 626077812729 1.886095% 1.88610% -0.000003% -0.00014%
24 626079455455 1.886095% 1.88610% -0.000008% -0.00041%
25 626086263684 1.886095% 1.88612% -0.000028% -0.00149%
26 626063554338 1.886095% 1.88605% 0.000040% 0.00213%
27 626038590377 1.886095% 1.88598% 0.000115% 0.00612%
28 626091255500 1.886095% 1.88614% -0.000043% -0.00229%
29 626079835837 1.886095% 1.88610% -0.000009% -0.00047%
30 626079024867 1.886095% 1.88610% -0.000006% -0.00034%
31 626072633286 1.886095% 1.88608% 0.000013% 0.00068%
32 626098204790 1.886095% 1.88616% -0.000064% -0.00340%
33 626063512584 1.886095% 1.88605% 0.000040% 0.00214%
34 626096551278 1.886095% 1.88615% -0.000059% -0.00314%
35 626099164162 1.886095% 1.88616% -0.000067% -0.00355%
36 626087449555 1.886095% 1.88613% -0.000032% -0.00168%
37 626063370931 1.886095% 1.88605% 0.000041% 0.00216%
38 626091339874 1.886095% 1.88614% -0.000043% -0.00230%
39 626088819276 1.886095% 1.88613% -0.000036% -0.00190%
40 626098207817 1.886095% 1.88616% -0.000064% -0.00340%
41 626110379711 1.886095% 1.88620% -0.000101% -0.00535%
42 626062257171 1.886095% 1.88605% 0.000044% 0.00234%
43 626090089900 1.886095% 1.88613% -0.000040% -0.00211%
44 626087015247 1.886095% 1.88613% -0.000030% -0.00161%
45 626075360826 1.886095% 1.88609% 0.000005% 0.00025%
46 626036269192 1.886095% 1.88597% 0.000122% 0.00649%
47 626077092700 1.886095% 1.88610% -0.000001% -0.00003%
48 626099506194 1.886095% 1.88616% -0.000068% -0.00361%
49 626087949358 1.886095% 1.88613% -0.000033% -0.00176%
50 626090846044 1.886095% 1.88614% -0.000042% -0.00223%
51 626094775030 1.886095% 1.88615% -0.000054% -0.00285%
52 626068978051 1.886095% 1.88607% 0.000024% 0.00127%
合计 33194352194116 100.000000% 100.00000% 0.000000% 0.00000%

白新岭 · 发表于 2021-11-19 23:45

截止2021年11月18日周四09:44分浏览量78352,,回复6512热度151度。参照浏览量73243，差距 5109
截止2021年11月19日周五23:43分浏览量78566,,回复6528热度151度。参照浏览量73278，差距 5288
浏览量 ↑ 214, 回复↑ 16热度↑ 。参照浏览量↑ 35, 差距 ↑179
晚安!

白新岭 · 发表于 2021-11-19 23:45

截止2021年11月18日周四09:44分浏览量78352,,回复6512热度151度。参照浏览量73243，差距 5109
截止2021年11月19日周五23:43分浏览量78566,,回复6528热度151度。参照浏览量73278，差距 5288
浏览量 ↑ 214, 回复↑ 16热度↑ 。参照浏览量↑ 35, 差距 ↑179
晚安!

独舟星海 · 发表于 2021-11-20 13:49

组合190 1 2 3 4 6 10 12 14 mod(n,15)
mod(n,15) at b 100周 101周 102周 103周 104周 105周
1→→→ 6 -6 594 600 606 612 618 624
2→→→ 3 -2 298 301 304 307 310 313
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 -3 497 502 507 512 517 522
10→→→ 2 0 200 202 204 206 208 210
11→→→ 4 -2 398 402 406 410 414 418
12→→→ 3 0 300 303 306 309 312 315
13→→→ 5 -1 499 504 509 514 519 524
14→→→ 4 0 400 404 408 412 416 420
15→→0 4 0 400 404 408 412 416 420
一周汇总 64 -23 6377 6441 6505 6569 6633 6697

x+y=N 正整数解组数系数及 a,b值

独舟星海 · 发表于 2021-11-20 13:50

mod(n,15) 2at^2 2bt c 10周 11周 12周 13周 14周
1→→→ 27 -33 3 1188 1455 1749 2070 2418
2→→→ 42 -66 12 1782 2190 2640 3132 3666
3→→→ 29 -27 0 1315 1606 1926 2275 2653
4→→→ 42 -54 9 1839 2253 2709 3207 3747
5→→→ 30 -18 0 1410 1716 2052 2418 2814
6→→→ 38 -32 7 1747 2130 2551 3010 3507
7→→→ 33 -9 0 1605 1947 2322 2730 3171
8→→→ 36 -18 6 1716 2085 2490 2931 3408
9→→→ 34 -2 0 1690 2046 2436 2860 3318
10→→→ 33 -9 3 1608 1950 2325 2733 3174
11→→→ 36 -6 0 1770 2145 2556 3003 3486
12→→→ 29 -5 1 1426 1728 2059 2419 2808
13→→→ 36 -6 0 1770 2145 2556 3003 3486
14→→→ 27 9 0 1395 1683 1998 2340 2709
15→→0同 40 2 0 2010 2431 2892 3393 3934
一周汇总 512 -274 41 24271 29510 35261 41524 48299
x+y+z=N 正整数解组数及系数 a,b,c 的值

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