[原创]k生素数群的数量公式

独舟星海 · 发表于 2021-10-8 17:06

mod(n,15) 6at^3 6bt^2 6ct d 5周 6周 7周
1→→→ 217 -372 347 -32 3228 5895 9740
2→→→ 204 -384 372 -32 2928 5380 8928
3→→→ 204 -420 408 -32 2808 5200 8676
4→→→ 217 -453 410 -28 2947 5476 9156
5→→→ 239 -444 325 -16 3384 6249 10400
6→→→ 266 -390 208 -4 4086 7440 12260
7→→→ 294 -300 126 0 4980 8910 14504
8→→→ 319 -183 74 0 5945 10460 16828
9→→→ 337 -48 47 0 6860 11891 18928
10→→→ 344 96 40 0 7600 13000 20496
11→→→ 337 234 59 -1 8044 13594 21244
12→→→ 319 333 122 -4 8131 13600 21094
13→→→ 294 372 210 -6 7844 13020 20084
14→→→ 266 366 268 -4 7286 12036 18504
15→→0同 239 330 277 -1 6584 10860 16680
一周汇总 4096 -1263 3293 -160 82655 143011 227522
x+y+z+u=N 正整数解组数及a,b c,d 的值

独舟星海 · 发表于 2021-10-8 17:07

mod(n,15) 24at^4 24bt^3 24ct^2 24dt 6e 6周 7周 8周
1→→→ 2220 -3140 3660 -4660 480 96025 183410 320180
2→→→ 2080 -2680 3800 -5120 480 92700 176130 306320
3→→→ 1960 -2540 4220 -5440 450 88025 166885 289835
4→→→ 1880 -2600 4420 -5020 330 83550 158535 275555
5→→→ 1852 -2692 4100 -3836 150 80996 154081 268325
6→→→ 1880 -2680 3400 -2600 30 81855 155965 271885
7→→→ 1960 -2460 2540 -1680 0 87090 165620 288240
8→→→ 2080 -1960 1700 -980 0 96985 183260 317380
9→→→ 2220 -1140 1020 -420 0 111045 207760 357140
10→→→ 2353 -2 635 14 6 128001 236671 403235
11→→→ 2455 1350 785 210 30 145955 266565 449955
12→→→ 2510 2720 1690 160 60 162605 293485 490970
13→→→ 2510 3940 3190 200 60 175845 313995 521010
14→→→ 2455 4890 4865 630 30 184040 325610 536495
15→→0同 2353 5498 6395 1354 6 186476 327426 536375
一周汇总 32768 -3496 46420 -27188 2112 1801193 3315398 5632900
x+y+z+u+v=N 的正整数解组数，及系数 a,b,c,d,e 的值

独舟星海 · 发表于 2021-10-8 17:08

mod(n,15) 120at^5 120bt^4 120ct^3 120dt^2 120et 6f 10周 11周
1→→→ 18936 -31620 41820 -64860 58764 -1152 13444155 21959592
2→→→ 18543 -22710 37785 -72330 61032 -1116 13819500 22467171
3→→→ 17968 -15810 39360 -80430 57632 -936 13921455 22546346
4→→→ 17310 -11130 43110 -82110 44340 -576 13791924 22272990
5→→→ 16680 -8430 45960 -75810 25920 -216 13519449 21793230
6→→→ 16185 -7120 46175 -64460 10060 -36 13226074 21301131
7→→→ 15912 -6360 43140 -50880 -1092 0 13047009 21006480
8→→→ 15912 -5160 37140 -36780 -8592 0 13108134 21099870
9→→→ 16185 -2495 29225 -23185 -12890 -6 13502729 21716936
10→→→ 16680 2430 21600 -11610 -13260 -36 14271714 22909221
11→→→ 17310 9870 17790 -4110 -8820 -90 15391575 24628182
12→→→ 17968 19530 21000 -30 -1348 -120 16775676 26730277
13→→→ 18543 30705 32475 5295 5502 -90 18286731 28998702
14→→→ 18936 42420 51660 16440 10584 -36 19760076 31179978
15→→0同 19076 53570 76660 34990 15744 -6 21030136 33024738
一周汇总 262144 47690 584900 -509870 243576 -4416 226896337 363634844
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

独舟星海 · 发表于 2021-10-8 17:09

序37 1 2 3 4 5 7 8 9 mod(n,15)
mod(n,15) at b 100周 101周 102周 103周 104周 105周
1→→→ 3 -3 297 300 303 306 309 312
2→→→ 3 -2 298 301 304 307 310 313
3→→→ 3 -1 299 302 305 308 311 314
4→→→ 3 0 300 303 306 309 312 315
5→→→ 4 0 400 404 408 412 416 420
6→→→ 5 0 500 505 510 515 520 525
7→→→ 4 0 400 404 408 412 416 420
8→→→ 5 0 500 505 510 515 520 525
9→→→ 6 0 600 606 612 618 624 630
10→→→ 7 0 700 707 714 721 728 735
11→→→ 6 0 600 606 612 618 624 630
12→→→ 6 0 600 606 612 618 624 630
13→→→ 4 0 400 404 408 412 416 420
14→→→ 3 0 300 303 306 309 312 315
15→→0 2 0 200 202 204 206 208 210
一周汇总 64 -6 6394 6458 6522 6586 6650 6714

x+y=N 正整数解组数系数及 a,b值

独舟星海 · 发表于 2021-10-8 17:09

mod(n,15) 2at^2 2bt c 10周 11周 12周 13周 14周
1→→→ 36 -36 0 1620 1980 2376 2808 3276
2→→→ 36 -36 0 1620 1980 2376 2808 3276
3→→→ 34 -32 0 1540 1881 2256 2665 3108
4→→→ 33 -27 0 1515 1848 2214 2613 3045
5→→→ 30 -18 0 1410 1716 2052 2418 2814
6→→→ 29 -9 0 1405 1705 2034 2392 2779
7→→→ 27 3 0 1365 1650 1962 2301 2667
8→→→ 27 9 0 1395 1683 1998 2340 2709
9→→→ 29 15 0 1525 1837 2178 2548 2947
10→→→ 33 21 0 1755 2112 2502 2925 3381
11→→→ 36 30 0 1950 2343 2772 3237 3738
12→→→ 38 36 0 2080 2497 2952 3445 3976
13→→→ 42 42 0 2310 2772 3276 3822 4410
14→→→ 42 42 0 2310 2772 3276 3822 4410
15→→0同 40 40 0 2200 2640 3120 3640 4200
一周汇总 512 80 0 26000 31416 37344 43784 50736
x+y+z=N 正整数解组数及系数 a,b,c 的值

独舟星海 · 发表于 2021-10-8 17:10

mod(n,15) 6at^3 6bt^2 6ct d 5周 6周 7周
1→→→ 281 -96 -185 0 5300 9355 15064
2→→→ 287 -69 -218 0 5510 9700 15589
3→→→ 294 -48 -246 0 5720 10050 16128
4→→→ 295 -27 -262 0 5815 10196 16338
5→→→ 295 0 -271 0 5920 10349 16548
6→→→ 291 27 -258 0 5960 10380 16555
7→→→ 286 60 -226 0 6020 10430 16576
8→→→ 271 105 -166 0 5945 10220 16156
9→→→ 258 156 -102 0 5940 10122 15904
10→→→ 248 216 -32 0 6040 10192 15904
11→→→ 248 288 40 0 6400 10696 16576
12→→→ 249 375 126 0 6855 11340 17444
13→→→ 255 468 213 0 7440 12201 18648
14→→→ 264 576 312 0 8160 13272 20160
15→→0同 274 672 398 0 8840 14294 21616
一周汇总 4096 2703 -877 0 95865 162797 255206
x+y+z+u=N 正整数解组数及a,b c,d 的值

独舟星海 · 发表于 2021-10-8 17:11

mod(n,15) 24at^4 24bt^3 24ct^2 24dt 6e 6周 7周 8周
1→→→ 2105 -610 -2105 610 0 105175 197750 340830
2→→→ 2100 220 -2100 -220 0 112175 208880 357420
3→→→ 2115 990 -2115 -990 0 119700 221130 376110
4→→→ 2145 1710 -2145 -1710 0 127575 234150 396270
5→→→ 2183 2346 -2171 -2334 0 135156 246806 416046
6→→→ 2220 2940 -2160 -2880 0 142380 258860 434880
7→→→ 2255 3470 -2075 -3290 0 149065 269990 452250
8→→→ 2280 3960 -1860 -3540 0 155085 279860 467460
9→→→ 2280 4360 -1440 -3520 0 159320 286440 477120
10→→→ 2263 4706 -811 -3254 0 162526 291046 483366
11→→→ 2230 5020 50 -2740 0 164990 294140 486900
12→→→ 2195 5390 1165 -2030 0 168280 298410 492030
13→→→ 2155 5830 2585 -1090 0 172445 303870 498690
14→→→ 2130 6380 4290 40 0 178885 313040 511080
15→→0同 2112 7044 6360 1428 0 187341 325360 528156
一周汇总 32768 53756 -4532 -25520 0 2240098 4029732 6718608
x+y+z+u+v=N 的正整数解组数，及系数 a,b,c,d,e 的值

独舟星海 · 发表于 2021-10-8 17:11

mod(n,15) 120at^5 120bt^4 120ct^3 120dt^2 120et 6f 10周 11周
1→→→ 17637 7725 -59115 -7725 41478 0 14845644 23953314
2→→→ 17520 13050 -52860 -13050 35340 0 15239070 24509430
3→→→ 17375 18775 -43985 -18775 26610 0 15663780 25105190
4→→→ 17250 24900 -33210 -24900 15960 0 16153830 25797090
5→→→ 17157 31425 -21015 -31425 3858 0 16715259 26595954
6→→→ 17128 38240 -8140 -38180 -8928 0 17359606 27523342
7→→→ 17160 45240 5220 -44880 -22020 0 18074265 28560576
8→→→ 17265 52290 18795 -51030 -34800 0 18856200 29704851
9→→→ 17400 59290 32720 -55930 -46760 0 19662995 30888506
10→→→ 17538 65940 46710 -58380 -56688 0 20445876 32036862
11→→→ 17658 72090 60810 -57330 -63708 0 21176166 33105072
12→→→ 17751 77580 75045 -51660 -66876 0 21834252 34063029
13→→→ 17796 82530 90120 -40410 -65796 0 22419342 34906014
14→→→ 17781 87030 106695 -22410 -59856 0 22935462 35637459
15→→0同 17728 91440 125760 3120 -48928 0 23439856 36342592
一周汇总 262144 767545 343550 -512965 -351114 0 284821603 448729281
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

独舟星海 · 发表于 2021-10-8 17:28

k生三kd 系数正确系数错误比对日期起止时间
6 6 41.5166696 41.5166696 0
6 24 47.4476224 41.5166696 5.9309528
6 30 86.26840437 75.48485382 10.78355055
6 36 40.64569052 40.64569052 0
6 54 41.25880209 36.10145183 5.157350261
6 60 90.10922376 90.10922376 0
6 66 62.80339838 62.80339838 0
6 84 100.244552 87.71398304 12.53056901
6 90 92.49609402 92.49609402 0
6 96 40.93726649 40.93726649 0
6 114 54.32508745 54.32508745 0
6 120 83.89110475 83.89110475 0
6 126 100.4854374 87.92475773 12.56067968
6 144 38.96887058 38.96887058 0
6 150 107.0659878 93.68273936 13.38324848
6 156 64.74675554 45.32272888 19.42402666
6 174 53.21568379 53.21568379 0
6 180 110.3534647 96.55928159 13.79418308
6 186 51.72791007 45.26192131 6.465988759
6 204 61.6526537 53.94607198 7.706581712 20211004日 20:13分
6 210 179.7869976 157.3136229 22.4733747 20211005日 6:42分起
6 216 44.63022583 44.63022583 0
6 234 65.36441004 45.75508703 19.60932301
6 240 110.4614387 96.6537589 13.80767984
6 246 47.73058277 47.73058277 0
6 264 71.6872852 62.72637455 8.96091065
6 270 105.7824988 105.7824988 0 20211005日 6:52分止
6 276 46.17768146 46.17768146 0 20211005日 9:57分起
6 294 76.17343009 76.17343009 0
6 300 85.08325465 85.08325465 0
6 306 68.10087336 59.58826419 8.51260917
6 324 46.4709298 46.4709298 0
6 330 116.8089573 116.8089573 0
6 336 113.6346322 99.43030322 14.20432903
6 354 46.59318618 46.59318618 0
6 360 83.98184088 73.48411077 10.49773011 20211005日 10:11分止
6 366 47.66705704 41.70867491 5.958382131 20211005日 11:54分起
6 384 43.51327643 38.07411688 5.439159554
6 390 121.1950836 84.83655854 36.35852509
6 396 64.97216347 56.85064303 8.121520434
6 414 68.1486993 59.63011189 8.518587413
6 420 225.5121944 197.3231701 28.18902429
6 426 38.52602722 38.52602722 0
6 444 57.88301023 50.64763395 7.235376279
6 450 78.3504804 78.3504804 0 20211005日 12:06分止
6 456 55.10189766 55.10189766 0 20211005日 14:17分起
6 474 47.07125333 41.18734667 5.883906667
6 480 92.60917196 92.60917196 0
6 486 43.664294 43.664294 0
6 504 98.35852531 98.35852531 0
6 510 116.3307666 116.3307666 0
6 516 50.42878985 44.12519112 6.303598731
6 534 48.27040719 48.27040719 0
6 540 89.41260635 78.23603055 11.17657579
6 546 138.5814198 97.00699384 41.57442593
6 564 42.53046179 42.53046179 0
6 570 125.4054979 109.7298106 15.67568723 20211005日 14:30分止
6 576 60.48560044 52.92490038 7.560700055 20211005日 20:06分起
6 594 70.94297628 62.07510424 8.867872035
6 600 105.7325832 92.51601028 13.2165729
6 606 44.14779732 44.14779732 0
6 624 52.61765285 36.832357 15.78529586
6 630 165.889396 145.1532215 20.7361745
6 636 47.3325522 47.3325522 0
6 654 51.77742164 45.30524393 6.472177704
6 660 123.5417207 123.5417207 0
6 666 47.31826811 47.31826811 0
6 684 63.63066653 63.63066653 0
6 690 94.79094022 94.79094022 0
6 696 47.88849236 41.90243081 5.986061545 20211005日 20:47分止
6 714 93.00107586 93.00107586 0 20211007日 17:40分起
6 720 98.95370708 98.95370708 0
6 726 70.80630663 61.9555183 8.850788328
6 744 55.15399383 55.15399383 0
6 750 115.3976446 100.972939 14.42470558
6 756 92.0309612 80.52709105 11.50387015
6 774 52.27184752 45.73786658 6.53398094
6 780 119.8137475 83.86962326 35.94412425
6 786 57.18778518 50.03931204 7.148473148 20211007日 17:49分止
6 804 47.07031325 41.18652409 5.883789156 20211007日 18:03分止
6 810 119.1098076 104.2210816 14.88872595 20211008日 09:52分起
6 816 59.13477647 59.13477647 0
6 834 56.1777261 49.15551034 7.022215762
6 840 186.378004 186.378004 0
6 846 42.30884738 42.30884738 0
6 864 53.1312013 46.48980113 6.641400162
6 870 95.28060243 95.28060243 0
6 876 52.23184487 52.23184487 0
6 894 37.15553867 37.15553867 0
6 900 87.60269961 87.60269961 0 20211008日 10:38分止
6 906 54.39111807 47.59222832 6.798889759 20211008日 17:19分起
6 924 139.387187 139.387187 0
6 930 111.8781295 97.89336332 13.98476619
6 936 54.22761823 37.95933276 16.26828547
6 954 44.11361508 44.11361508 0
6 960 89.2153801 78.06345759 11.15192251
6 966 117.0049903 102.3793665 14.62562379
6 984 63.68521543 55.7245635 7.960651929
6 990 170.6640664 149.3310581 21.33300829
6 996 45.92560181 45.92560181 0 20211008日 17:29分止

独舟星海 · 发表于 2021-10-8 17:34

10^n 两组三生差等于906的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 0 0 0 #DIV/0!
4 2 1 1 1.000000000000E+00
5 5 5 0 0.000000000000E+00
6 15 13 2 1.538461538462E-01
7 54 58 -4 -6.896551724138E-02
8 218 216 2 9.259259259259E-03
9 1003 996 7 7.028112449799E-03
10 5066 4905 161 3.282364933741E-02
11 27521
12 158468
13 956969
14 6013727
15 39092388
16 261644749
17 1796278223
18 12610938665
19 90309468621
20 6.582787171560000000E+11
21 4.875253142387000000E+12
22 3.662935378315200000E+13
23 2.788254649943070000E+14
24 2.147875285278120000E+15
25 1.672725000160260000E+16
26 1.315821845761770000E+17
27 1.044694767421350000E+18
28 8.365696199633010000E+18
29 6.752553308811320000E+19
30 5.490956211671310000E+20
31 4.496005375129410000E+21
32 3.705188904885540000E+22
33 3.072010531913410000E+23
34 2.561557165756390000E+24
35 2.147379361198220000E+25
36 1.809271614273570000E+26

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[原创]k生素数群的数量公式

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