[原创]k生素数群的数量公式

独木星空谁 · 发表于 2021-8-24 06:53

10^n 二生L10差等于318的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 17 11 6 5.454545454545E-01
4 57 46 11 2.391304347826E-01
5 197 197 0 0.000000000000E+00
6 835 840 -5 -5.952380952381E-03
7 4156 4138 18 4.349927501208E-03
8 23075 22963 112 4.877411488046E-03
9 138702 138872 -170 -1.224148856501E-03
10 884782
11 5912526
12 41020989
13 293565329
14 2156416774
15 16196923017
16 1.2401949674500000E+11
17 9.6570416452000000E+11
18 7.6317737037130000E+12
19 6.1110001742066000E+13
20 4.9510636766162200E+14
21 4.0538739278493000E+15
22 3.3511035685503700E+16
23 2.7942951489738900E+17
24 2.3485203484915400E+18
25 1.9882284300911600E+19
26 1.6944750321519500E+20
27 1.4530394866566900E+21
28 1.2531249924967900E+22
29 1.0864478067759900E+23
30 9.4659024867851300E+23
31 8.2853525757841100E+24
32 7.2832760860662800E+25
33 6.4282461274269500E+26
34 5.6951078760832100E+27
35 5.0635876544838300E+28
36 4.5172396658466600E+29
37 4.0426416993537300E+30
38 3.6287760884110400E+31
39 3.2665496945029500E+32
40 2.9484190693457000E+33
41 2.6680957971986400E+34
42 2.4203134030410000E+35
43 2.2006418580410600E+36
44 2.0053391226431900E+37
45 1.8312316886517100E+38
46 1.6756179600886000E+39
47 1.5361897221280500E+40
48 1.4109680122713900E+41
49 1.2982505176010500E+42
50 1.1965682413936500E+43
51 1.1046496590713500E+44
52 1.0213909523892200E+45
53 9.4583119780673600E+45
54 8.7713160949742600E+46
55 8.1455811391255400E+47
56 7.5746667217498700E+48
57 7.0529087714390600E+49
58 6.5753144009603000E+50
59 6.1374725247498800E+51
60 5.7354776481337200E+52
61 5.3658647063287300E+53
62 5.0255532013428800E+54
63 4.7117991856477400E+55
64 4.4221538867934500E+56
65 4.1544279678827000E+57
66 3.9066605836521700E+58

独木星空谁 · 发表于 2021-8-24 06:53

10^n 二生L10差等于324的数量实际数量理论-实际误差/实际
2 2 0 2 #DIV/0!
3 11 9 2 2.222222222222E-01
4 35 29 6 2.068965517241E-01
5 122 116 6 5.172413793103E-02
6 519 524 -5 -9.541984732824E-03
7 2584 2608 -24 -9.202453987730E-03
8 14346 14415 -69 -4.786680541103E-03
9 86235 86121 114 1.323718953565E-03
10 550092
11 3675970
12 25503806
13 182517136
14 1340699918
15 10070044726
16 77106119342
17 6.0040318267300000E+11
18 4.7448705198740000E+12
19 3.7993663988533000E+13
20 3.0782039658444500E+14
21 2.5203979622955800E+15
22 2.0834675068686000E+16
23 1.7372853534353900E+17
24 1.4601356643293800E+18
25 1.2361328874473500E+19
26 1.0534988246322300E+20
27 9.0339211985496000E+20
28 7.7910012343826700E+21
29 6.7547261880229300E+22
30 5.8851956828462900E+23
31 5.1512173591410500E+24
32 4.5282005639224000E+25
33 3.9966063891130400E+26
34 3.5407954320742200E+27
35 3.1481630246545000E+28
36 2.8084843908899900E+29
37 2.5134145961830300E+30
38 2.2561036730883900E+31
39 2.0308981828969500E+32
40 1.8331081692801300E+33
41 1.6588239620062600E+34
42 1.5047712577429600E+35
43 1.3681957933239400E+36
44 1.2467710462577000E+37
45 1.1385239646605100E+38
46 1.0417748966440400E+39
47 9.5508876552681800E+39
48 8.7723519928991000E+40
49 8.0715582609319200E+41
50 7.4393733279123600E+42
51 6.8678917976391100E+43
52 6.3502509474306200E+44
53 5.8804764678323200E+45
54 5.4533534110548900E+46
55 5.0643178525428600E+47
56 4.7093656365122600E+48
57 4.3849752637034700E+49
58 4.0880425273672000E+50
59 3.8158249418554000E+51
60 3.5658943604142100E+52
61 3.3360964629108700E+53
62 3.1245160243038200E+54
63 2.9294470616536600E+55
64 2.7493671099793500E+56
65 2.5829150020731800E+57
66 2.4288716298686500E+58

独木星空谁 · 发表于 2021-8-24 06:55

10^n 二生L10差等于330的数量实际数量理论-实际误差/实际
2 5 0 5 #DIV/0!
3 20 14 6 4.285714285714E-01
4 65 54 11 2.037037037037E-01
5 223 203 20 9.852216748768E-02
6 947 956 -9 -9.414225941423E-03
7 4710 4717 -7 -1.483994064024E-03
8 26153 25943 210 8.094669082219E-03
9 157204 156348 856 5.474966101261E-03
10 1002808 “-9，-7 的位置是个陷阱
11 6701226
12 46492977
13 332725434
14 2444071679
15 18357509229
16 1.4056305964400000E+11
17 1.0945241324060000E+12
18 8.6498130573190000E+12
19 6.9261761619602000E+13
20 5.6115101023996600E+14
21 4.5946398563648100E+15
22 3.7981235462437000E+16
23 3.1670397477638400E+17
24 2.6618008819992400E+18
25 2.2534478750553900E+19
26 1.9205092849226300E+20
27 1.6468674796225400E+21
28 1.4202854203182400E+22
29 1.2313743554233900E+23
30 1.0728605185144400E+24
31 9.3905759888612900E+24
32 8.2548276501786500E+25
33 7.2857410934009900E+26
34 6.4548059706512300E+27
35 5.7390442000822500E+28
36 5.1198162002196900E+29
37 4.5819093063674300E+30
38 4.1128361518835800E+31
39 3.7022906203504000E+32
40 3.3417230062871700E+33
41 3.0240060516415800E+34
42 2.7431707607162400E+35
43 2.4941961616217300E+36
44 2.2728410459750600E+37
45 2.0755085759120200E+38
46 1.8991367764483600E+39
47 1.7411095287741500E+40
48 1.5991838869733500E+41
49 1.4714304583420100E+42
50 1.3561842895505000E+43
51 1.2520042411831200E+44
52 1.1576392513192100E+45
53 1.0720002141609900E+46
54 9.9413645416752500E+46
55 9.2321597615481800E+47
56 8.5850882977251400E+48
57 7.9937305208085100E+49
58 7.4524275180924400E+50
59 6.9561797878900400E+51
60 6.5005608626278600E+52
61 6.0816434557053400E+53
62 5.6959361465446400E+54
63 5.3403289591321300E+55
64 5.0120464673698200E+56
65 4.7086072880804400E+57
66 4.4277890093292700E+58

独木星空谁 · 发表于 2021-8-24 06:57

2对(2生d10) 范围跨度6n 统计
4 10 306 0
4 100 306 0
4 1000 306 12
4 10000 306 36
4 100000 306 128
4 1000000 306 630
4 10000000 306 3107
4 100000000 306 17009
4 1000000000 306 102633
4 10 312 0
4 100 312 0
4 1000 312 10
4 10000 312 54
4 100000 312 206
4 1000000 312 866
4 10000000 312 4370
4 100000000 312 24128
4 1000000000 312 146832
4 10 318 0
4 100 318 0
4 1000 318 11
4 10000 318 46
4 100000 318 197
4 1000000 318 840
4 10000000 318 4138
4 100000000 318 22963
4 1000000000 318 138872
4 10 324 0
4 100 324 0
4 1000 324 9
4 10000 324 29
4 100000 324 116
4 1000000 324 524
4 10000000 324 2608
4 100000000 324 14415
4 1000000000 324 86121
4 10 330 0
4 100 330 0
4 1000 330 14
4 10000 330 54
4 100000 330 203
4 1000000 330 956
4 10000000 330 4717
4 100000000 330 25943
4 1000000000 330 156348
4 10 336 0
4 100 336 0
4 1000 336 15
4 10000 336 60
4 100000 336 219
4 1000000 336 883
4 10000000 336 4237
4 100000000 336 23583
4 1000000000 336 143199
4 10 342 0
4 100 342 0
4 1000 342 12
4 10000 342 38
4 100000 342 137
4 1000000 342 648
4 10000000 342 3304
4 100000000 342 18461
4 1000000000 342 111711
4 10 348 0
4 100 348 0
4 1000 348 8
4 10000 348 33
4 100000 348 123
4 1000000 348 623
4 10000000 348 3108
4 100000000 348 17020
4 1000000000 348 102864
4 10 354 0
4 100 354 0
4 1000 354 10
4 10000 354 40
4 100000 354 182
4 1000000 354 785
4 10000000 354 4006
4 100000000 354 22314
4 1000000000 354 134156
4 10 360 0
4 100 360 0
4 1000 360 16
4 10000 360 59
4 100000 360 204
4 1000000 360 927
4 10000000 360 4659
4 100000000 360 25828
4 1000000000 360 155558

独木星空谁 · 发表于 2021-8-24 07:35

人生忽如寂，莫负茶、汤好天气。人前一杯酒，各自饮完。人后一片海，独自上岸。——草叶集
人生如梦，初方醒。酒醉生活，亡一生。

独舟星海 · 发表于 2021-8-24 09:20

三生素数(P,P+2,P+6）的中项差合成数，合成方法与余数类目数关系恒等式：（另一种一样成立）
\((P-3)^2=1*(P-3)+6*(P-5)+(P-7)*(P-6)\),P≥7，为素数，趋于无穷大。（7时，最后多项式中的余数类目数是0）

独舟星海 · 发表于 2021-8-24 11:16

三生素数(P,P+2,P+6)系数 0.6351663547588530 ∏P^2*(P-3)/(P-1)^3,P≥5，为素数 5到10亿右
三生素数(P,P+2,P+6)系数 4.500000000000 素数2,3作用结果
三生素数(P,P+2,P+6)系数 2.8582485964148400 9/2*∏P^2*(P-3)/(P-1)^3 为素数 2到10亿右
三生素数(P,P+2,P+6)系数^2 8.1695850389073900 合成系数*数量^2/N（范围）
2对三生素数L6系数 0.6453152785068450 ∏P*(P-6)/(P-3)^2，P≥11，为素数 11到10亿右
2对三生素数L6系数 6.5625000000000000 素数11前的作用 2至7
2对三生素数L6最终系数 4.2348815152011700 ∏P*(P-6)/(P-3)^2（11前单处理） 2到10亿右
2对三生素数L6综合系数 34.5972246681330000

独舟星海 · 发表于 2021-8-24 12:16

10^n 二生L10差等于336的数量实际数量理论-实际误差/实际
2 4 0 4 #DIV/0!
3 18 15 3 2.000000000000E-01
4 59 60 -1 -1.666666666667E-02
5 204 219 -15 -6.849315068493E-02
6 865 883 -18 -2.038505096263E-02
7 4304 4237 67 1.581307528912E-02
8 23899 23583 316 1.339948267820E-02
9 143658 143199 459 3.205329646157E-03
10 916397
11 6123789
12 42486729
13 304054850
14 2233468717
15 16775662898
16 1.2845089576700000E+11
17 1.0002101946400000E+12
18 7.9044682026780000E+12
19 6.3293551982650000E+13
20 5.1279724636238400E+14
21 4.1987248055798400E+15
22 3.4708434277343900E+16
23 2.8941394243931200E+17
24 2.4324364346603800E+18
25 2.0592707561114700E+19
26 1.7550211172222100E+20
27 1.5049587245919000E+21
28 1.2979009915287900E+22
29 1.1252681848195200E+23
30 9.8041331047387300E+23
31 8.5814004091083100E+24
32 7.5435182525956600E+25
33 6.6579368159875700E+26
34 5.8986024566505900E+27
35 5.2445170887167800E+28
36 4.6786472828971000E+29
37 4.1870912330401700E+30
38 3.7584375951201900E+31
39 3.3832683194085300E+32
40 3.0537704191196000E+33
41 2.7634307841695900E+34
42 2.5067947606394700E+35
43 2.2792740282518600E+36
44 2.0769928388741600E+37
45 1.8966642901953600E+38
46 1.7354902542397600E+39
47 1.5910800402709500E+40
48 1.4613839745496400E+41
49 1.3446389180139800E+42
50 1.2393233845271400E+43
51 1.1441204160680000E+44
52 1.0578867533422900E+45
53 9.7962713759806400E+45
54 9.0847281195763700E+46
55 8.4366347334472500E+47
56 7.8453207042588500E+48
57 7.3049195750010600E+49
58 6.8102600552368700E+50
59 6.3567734448277600E+51
60 5.9404147000308400E+52
61 5.5575949442020500E+53
62 5.2051236086254300E+54
63 4.8801587004916500E+55
64 4.5801639491096600E+56
65 4.3028717893548000E+57
66 4.0462513120785700E+58

独木星空谁 · 发表于 2021-8-24 12:25

现在刚打完一个帖子，电就停了。现在有来了，要午休了，不打开电脑了。

独舟星海 · 发表于 2021-8-24 18:05

2对4生素数中项差合成数时，合成方法与余数类目数关系恒等式：
\((P-4)^2=1*(P-4)+4*(P-6)+4*(P-7)+(P-9)*(P-8)\)
∏\({P*(P-8)}\over(P-4)^2\) ,P大于等于11. 是素数，趋于无穷大。

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[原创]k生素数群的数量公式

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