[原创]k生素数群的数量公式

独舟星海 · 发表于 2021-10-8 10:46

10^n 两组三生差等于840的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 1 3 -2 -6.666666666667E-01
4 7 8 -1 -1.250000000000E-01
5 19 23 -4 -1.739130434783E-01
6 53 40 13 3.250000000000E-01
7 186 178 8 4.494382022472E-02
8 749 752 -3 -3.989361702128E-03
9 3438 3407 31 9.098914000587E-03
10 17359 17173 186 1.083095556979E-02
11 94304
12 543012
13 3279177
14 20606793
15 133954982
16 896558628
17 6155173156
18 43212966747
19 3.0945674767400000E+11
20 2.2556747812240000E+12
21 1.6705667795040000E+13
22 1.2551508567381100E+14
23 9.5543050892963200E+14
24 7.3599646896403800E+15
25 5.7318025031719100E+16
26 4.5088289757987600E+17
27 3.5797779565574600E+18
28 2.8666109739041400E+19
29 2.3138472824007700E+20
30 1.8815451766339100E+21
31 1.5406127642602400E+22
32 1.2696295588164800E+23
33 1.0526630291832000E+24
34 8.7774976599821800E+24
35 7.3582653434344500E+25
36 6.1996966426744100E+26

独舟星海 · 发表于 2021-10-8 10:46

10^n 两组三生差等于846的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 0 1 -1 -1.000000000000E+00
4 1 3 -2 -6.666666666667E-01
5 4 3 1 3.333333333333E-01
6 12 10 2 2.000000000000E-01
7 42 33 9 2.727272727273E-01
8 170 170 0 0.000000000000E+00
9 780 758 22 2.902374670185E-02
10 3940 3841 99 2.577453788076E-02
11 21407
12 123266
13 744391
14 4677857
15 30408528
16 203523813
17 1397258668
18 9809584693
19 70248409305
20 5.1205076794100000E+11
21 3.7922798510800000E+12
22 2.8492625152567000E+13
23 2.1688805934455900E+14
24 1.6707530725273800E+15
25 1.3011511667676900E+16
26 1.0235293486420700E+17
27 8.1262958072376300E+17
28 6.5073669431219400E+18
29 5.2525625046430800E+19
30 4.2712125907139000E+20
31 3.4972769816215800E+21
32 2.8821299772674100E+22
33 2.3896038425555900E+23
34 1.9925409703607800E+24
35 1.6703673114518100E+25
36 1.4073657485158500E+26

独舟星海 · 发表于 2021-10-8 10:46

10^n 两组三生差等于864的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 0 2 -2 -1.000000000000E+00
4 2 4 -2 -5.000000000000E-01
5 5 8 -3 -3.750000000000E-01
6 15 13 2 1.538461538462E-01
7 53 53 0 0.000000000000E+00
8 213 216 -3 -1.388888888889E-02
9 980 986 -6 -6.085192697769E-03
10 4948 4990 -42 -8.416833667335E-03
11 26883
12 154797
13 934802
14 5874425
15 38186851
16 255584006
17 1754669204
18 12318818668
19 88217538563
20 6.4303033782700000E+11
21 4.7623226962070000E+12
22 3.5780870813091000E+13
23 2.7236674721109300E+14
24 2.0981218658713500E+15
25 1.6339779699878900E+16
26 1.2853421262894600E+17
27 1.0204954401737000E+18
28 8.1719130714863900E+18
29 6.5961370498494300E+19
30 5.3637636091882700E+20
31 4.3918598306384600E+21
32 3.6193618464759400E+22
33 3.0008504280359000E+23
34 2.5022212122790800E+24
35 2.0976374293852100E+25
36 1.7673616160242700E+26

独舟星海 · 发表于 2021-10-8 10:47

10^n 两组三生差等于870的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 0 1 -1 -1.000000000000E+00
4 4 4 0 0.000000000000E+00
5 9 12 -3 -2.500000000000E-01
6 27 36 -9 -2.500000000000E-01
7 95 111 -16 -1.441441441441E-01
8 383 379 4 1.055408970976E-02
9 1757 1796 -39 -2.171492204900E-02
10 8874 8840 34 3.846153846154E-03
11 48210
12 277599
13 1676388
14 10534653
15 68480781
16 458340815
17 3146662127
18 22091434701
19 1.5820120784800000E+11
20 1.1531513776500000E+12
21 8.5403108607590000E+12
22 6.4166117902063000E+13
23 4.8843743645708000E+14
24 3.7625784940130500E+15
25 2.9302255839244500E+16
26 2.3050141750547200E+17
27 1.8300625234851800E+18
28 1.4654756178783400E+19
29 1.1828904607988100E+20
30 9.6188795947370700E+20
31 7.8759568813784600E+21
32 6.4906301521938100E+22
33 5.3814487461092300E+23
34 4.4872530398393100E+24
35 3.7617097502407700E+25
36 3.1694235286163400E+26

独舟星海 · 发表于 2021-10-8 10:47

10^n 两组三生差等于876的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 0 1 -1 -1.000000000000E+00
4 2 2 0 0.000000000000E+00
5 5 7 -2 -2.857142857143E-01
6 15 19 -4 -2.105263157895E-01
7 52 68 -16 -2.352941176471E-01
8 210 228 -18 -7.894736842105E-02
9 963 1035 -72 -6.956521739130E-02
10 4865 4973 -108 -2.171727327569E-02
11 26428
12 152177
13 918979
14 5774988
15 37540459
16 251257713
17 1724967767
18 12110296962
19 86724272677
20 6.3214570781800000E+11
21 4.6817104490330000E+12
22 3.5175204925653000E+13
23 2.6775637178116100E+14
24 2.0626067760211200E+15
25 1.6063194839097600E+16
26 1.2635850292180300E+17
27 1.0032214258092100E+18
28 8.0335863938500700E+18
29 6.4844836688898200E+19
30 5.2729707197883000E+20
31 4.3175184403541800E+21
32 3.5580965962209400E+22
33 2.9500547739262000E+23
34 2.4598658979263900E+24
35 2.0621305396331800E+25
36 1.7374453334613000E+26

独舟星海 · 发表于 2021-10-8 10:47

10^n 两组三生差等于894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 1 1 0 0.000000000000E+00
5 3 5 -2 -4.000000000000E-01
6 10 9 1 1.111111111111E-01
7 37 31 6 1.935483870968E-01
8 149 151 -2 -1.324503311258E-02
9 685 640 45 7.031250000000E-02
10 3460 3383 77 2.276086313923E-02
11 18800
12 108252
13 653723
14 4108083
15 26704704
16 178734175
17 1227069554
18 8614756155
19 61692001788
20 4.4968188182300000E+11
21 3.3303719994220000E+12
22 2.5022162056720000E+13
23 1.9047062669822700E+14
24 1.4672517507140600E+15
25 1.1426681529279400E+16
26 8.9886127004425200E+16
27 7.1364954798216200E+17
28 5.7147556373432800E+18
29 4.6127890814016600E+19
30 3.7509697000986300E+20
31 3.0713011146847100E+21
32 2.5310803400373700E+22
33 2.0985449490743200E+23
34 1.7498451896957000E+24
35 1.4669129761681400E+25
36 1.2359455699106900E+26

独舟星海 · 发表于 2021-10-8 10:47

10^n 两组三生差等于900的数量实际数量理论-实际误差/实际
2 0 0 0 #DIV/0!
3 0 1 -1 -1.000000000000E+00
4 3 2 1 5.000000000000E-01
5 8 10 -2 -2.000000000000E-01
6 25 26 -1 -3.846153846154E-02
7 87 81 6 7.407407407407E-02
8 352 385 -33 -8.571428571429E-02
9 1616 1612 4 2.481389578164E-03
10 8159 8050 109 1.354037267081E-02
11 44325
12 255230
13 1541301
14 9685749
15 62962462
16 421406789
17 2893097755
18 20311262404
19 1.4545303592700000E+11
20 1.0602281173700000E+12
21 7.8521154127290000E+12
22 5.8995482900842000E+13
23 4.4907816418964300E+14
24 3.4593823417122200E+15
25 2.6941021053490500E+16
26 2.1192714908854800E+17
27 1.6825923998788400E+18
28 1.3473846413476500E+19
29 1.0875707653085400E+20
30 8.8437709060519800E+20
31 7.2412964149135500E+21
32 5.9676021034011500E+22
33 4.9478007687392800E+23
34 4.1256611532529500E+24
35 3.4585836030626400E+25
36 2.9140249979498700E+26

独舟星海 · 发表于 2021-10-8 10:50

这些资料要比。限制条件下线性不定方程正整数的解组数，那些资料难制作的多。光最密三生素数表（100亿）就用去了20天的时间。

独木星空谁 · 发表于 2021-10-8 15:52

序34 1 2 3 4 5 6 13 14 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→→→ 6 -4 596 602 608 614 620 626
4→→→ 7 -4 696 703 710 717 724 731
5→→→ 6 -2 598 604 610 616 622 628
6→→→ 5 0 500 505 510 515 520 525
7→→→ 6 0 600 606 612 618 624 630
8→→→ 5 0 500 505 510 515 520 525
9→→→ 4 0 400 404 408 412 416 420
10→→→ 3 0 300 303 306 309 312 315
11→→→ 3 -1 299 302 305 308 311 314
12→→→ 3 -2 298 301 304 307 310 313
13→→→ 1 -1 99 100 101 102 103 104
14→→→ 2 0 200 202 204 206 208 210
15→→0 4 0 400 404 408 412 416 420
一周汇总 64 -22 6378 6442 6506 6570 6634 6698

x+y=N 正整数解组数系数及 a,b值

独木星空谁 · 发表于 2021-10-8 15:52

mod(n,15) 2at^2 2bt c 10周 11周 12周 13周 14周
1→→→ 27 -51 12 1107 1365 1650 1962 2301
2→→→ 30 -54 12 1242 1530 1848 2196 2574
3→→→ 32 -48 9 1369 1681 2025 2401 2809
4→→→ 33 -33 3 1488 1818 2181 2577 3006
5→→→ 39 -27 0 1815 2211 2646 3120 3633
6→→→ 43 -23 0 2035 2475 2958 3484 4053
7→→→ 42 -12 0 2040 2475 2952 3471 4032
8→→→ 42 0 0 2100 2541 3024 3549 4116
9→→→ 41 7 1 2086 2520 2995 3511 4068
10→→→ 39 9 3 1998 2412 2865 3357 3888
11→→→ 33 15 3 1728 2082 2469 2889 3342
12→→→ 29 19 1 1546 1860 2203 2575 2976
13→→→ 30 12 0 1560 1881 2232 2613 3024
14→→→ 27 3 0 1365 1650 1962 2301 2667
15→→0同 25 1 0 1255 1518 1806 2119 2457
一周汇总 512 -182 44 24734 30019 35816 42125 48946
x+y+z=N 正整数解组数及系数 a,b,c 的值

		自动登录	找回密码
密码			注册