k维素数与k生素数束

白新岭 · 发表于 2019-7-16 17:09

n(10的次幂） 5束四生素数的数量
27 4.000000000000000000E+00
28 1.900000000000000000E+01
29 9.300000000000000000E+01
30 4.690000000000000000E+02
31 2.403000000000000000E+03
32 1.257700000000000000E+04
33 6.717000000000000000E+04
34 3.656840000000000000E+05
35 2.027120000000000000E+06
36 1.142989400000000000E+07
37 6.549024400000000000E+07
38 3.809779510000000000E+08
39 2.248329441000000000E+09
40 1.345032215300000000E+10
41 8.151145878000000000E+10
42 5.000815593860000000E+11
43 3.104147304631000000E+12
44 1.948428418411300000E+13
45 1.236075834152020000E+14
46 7.921678442163930000E+14
47 5.126339161908230000E+15
48 3.348378932611890000E+16
49 2.206630176889590000E+17
50 1.466672792952780000E+18
51 9.828705717402240000E+18
52 6.638628977445810000E+19
53 4.518009789261690000E+20
54 3.097261921187310000E+21
55 2.138222878770580000E+22
56 1.486144490375480000E+23
57 1.039673276185360000E+24
58 7.319153314338190000E+24
59 5.183921942303680000E+25
60 3.693176563885240000E+26
61 2.646065375022730000E+27
62 1.906246392983240000E+28
63 1.380570179843340000E+29
64 1.004999020591430000E+30
65 7.352425739175700000E+30
66 5.404890678692710000E+31
67 3.991819391903590000E+32
68 2.961569008387970000E+33
69 2.206895783481750000E+34
70 1.651563636935510000E+35
71 1.241107014595880000E+36
72 9.364244441924820000E+36
73 7.093117215314510000E+37
74 5.393314091182810000E+38
75 4.116078693700830000E+39
76 3.152666279221850000E+40
77 2.423245468730220000E+41
78 1.868969464431080000E+42
79 1.446286177488940000E+43
80 1.122837208792200000E+44
81 8.744894302340720000E+44
82 6.831774627544160000E+45
83 5.353291988938880000E+46
84 4.207122831769050000E+47
85 3.315857551220580000E+48
86 2.620737862296450000E+49

白新岭 · 发表于 2019-7-17 16:01

邻距1 邻距2 邻距3 邻距4 邻距5
30 90 90 120 210
90 120 120 90 120
210 30 90 90 120
210 120 90 90 30
120 90 90 30 210
120 90 120 120 90
这是6束4生素数，有6种排列顺序，任何一种有逆6束4生素数，也就是这6种为3对互逆6束4生素数。

白新岭 · 发表于 2019-7-17 16:06

素数式素数式序列
0 0
2 2
4 6
2 8
22 30
2 32
4 36
2 38
82 120
2 122
4 126
2 128
82 210
2 212
4 216
2 218
112 330
2 332
4 336
2 338
202 540
2 542
4 546
2 548
这是6束4生素数的邻距和间距的两种表示形式。

白新岭 · 发表于 2019-7-17 16:10

6束4生素数的最终系数=7.63190438965602E+11

白新岭 · 发表于 2019-7-17 16:12

n(10的次幂） 6束四生素数的数量
34 3.000000000000000000E+00
35 1.900000000000000000E+01
36 9.700000000000000000E+01
37 5.000000000000000000E+02
38 2.609000000000000000E+03
39 1.385000000000000000E+04
40 7.472600000000000000E+04
41 4.094750000000000000E+05
42 2.277227000000000000E+06
43 1.284393200000000000E+07
44 7.341997700000000000E+07
45 4.250958550000000000E+08
46 2.491528564000000000E+09
47 1.477467226200000000E+10
48 8.859814098500000000E+10
49 5.370092765920000000E+11
50 3.288499364218000000E+12
51 2.033726625700900000E+13
52 1.269687966535220000E+14
53 7.999295160482450000E+14
54 5.084011611299970000E+15
55 3.258514722159410000E+16
56 2.105509716885220000E+17
57 1.371173905361450000E+18
58 8.997163432343360000E+18
59 5.946792376516190000E+19
60 3.958368199747720000E+20
61 2.652793453691300000E+21
62 1.789563805487130000E+22
63 1.214940062982710000E+23
64 8.299239354875150000E+23
65 5.703133194499050000E+24
66 3.941853193510100000E+25
67 2.739824009523880000E+26
68 1.914728513232870000E+27
69 1.345192146536720000E+28
70 9.499206679259050000E+28
71 6.741436280367340000E+29
72 4.807491362871440000E+30
73 3.444506672668780000E+31
74 2.479258792622970000E+32
75 1.792458745041380000E+33
76 1.301539265652490000E+34
77 9.490663007952300000E+34
78 6.948952096960580000E+35
79 5.108339183301130000E+36
80 3.769933422232680000E+37
81 2.792792989825810000E+38
82 2.076605798268230000E+39
83 1.549673732210890000E+40
84 1.160538205172490000E+41
85 8.721175008585150000E+41
86 6.575846587945360000E+42
87 4.974568465263490000E+43
88 3.775316405005830000E+44
89 2.874178650051370000E+45
90 2.194855608582100000E+46
91 1.681126131217500000E+47
92 1.291421839921100000E+48
93 9.949052246149510000E+48

白新岭 · 发表于 2019-7-17 17:03

邻距1 邻距2 邻距3 邻距4 邻距5 邻距6
30 90 90 120 210 120
30 90 90 240 180 30
30 180 120 120 180 30
30 180 240 90 90 30
120 210 120 90 90 30
这是7束4生素数，有5种排列顺序，其中中间一行所表示的7束4生素数是自对称，没有逆7束4生素数，其余4种配成2对互逆7束4生素数。

白新岭 · 发表于 2019-7-17 17:08

素数式素数式序列
0 0
2 2
4 6
2 8
22 30
2 32
4 36
2 38
172 210
2 212
4 216
2 218
112 330
2 332
4 336
2 338
112 450
2 452
4 456
2 458
172 630
2 632
4 636
2 638
22 660
2 662
4 666
2 668
这是7束4生素数的邻距和间距的两种表示形式，它是自对称。

白新岭 · 发表于 2019-7-17 17:13

7束4生素数的最终系数=1.98129209691261E+14

白新岭 · 发表于 2019-7-17 17:19

n(10的次幂） 7束四生素数的数量取对数对数比值
41 1.000000000000000000E+00 0 0.00%
42 7.000000000000000000E+00 0.84509804 2.01%
43 3.600000000000000000E+01 1.556302501 3.62%
44 1.910000000000000000E+02 2.281033367 5.18%
45 1.009000000000000000E+03 3.003891166 6.68%
46 5.408000000000000000E+03 3.733036683 8.12%
47 2.938600000000000000E+04 4.468140474 9.51%
48 1.617630000000000000E+05 5.208879193 10.85%
49 9.016700000000000000E+05 5.95504762 12.15%
50 5.086594000000000000E+06 6.706427075 13.41%
51 2.902741300000000000E+07 7.462808332 14.63%
52 1.674916600000000000E+08 8.223993187 15.82%
53 9.767759690000000000E+08 8.989794966 16.96%
54 5.754898962000000000E+09 9.760037703 18.07%
55 3.424170310700000000E+10 10.53455536 19.15%
56 2.056795359370000000E+11 11.31319108 20.20%
57 1.246799327778000000E+12 12.09579656 21.22%
58 7.624851213036000000E+12 12.88223137 22.21%
59 4.702864550301100000E+13 13.67236247 23.17%
60 2.924580922642660000E+14 14.46606364 24.11%
61 1.833222019267330000E+15 15.26321507 25.02%
62 1.157984829874250000E+16 16.06370287 25.91%
63 7.369173082032070000E+16 16.86741876 26.77%
64 4.723453386969620000E+17 17.67425963 27.62%
65 3.048788420277460000E+18 18.48412729 28.44%
66 1.981198878830340000E+19 19.29692807 29.24%
67 1.295903456371950000E+20 20.11257265 30.02%
68 8.530523744489260000E+20 20.9309757 30.78%
69 5.650094307186550000E+21 21.7520557 31.52%
70 3.764737504995210000E+22 22.5757347 32.25%
71 2.523121258009980000E+23 23.40193812 32.96%
72 1.700570149736980000E+24 24.23059455 33.65%
73 1.152485768233620000E+25 25.06163557 34.33%
74 7.852276691035690000E+25 25.89499559 34.99%
75 5.377887465147260000E+26 26.73061171 35.64%
76 3.701890241102770000E+27 27.56842354 36.27%
77 2.560784867688460000E+28 28.40837309 36.89%
78 1.779937154424790000E+29 29.25040467 37.50%
79 1.242981605566190000E+30 30.0944647 38.09%
80 8.719702752987750000E+30 30.94050168 38.68%
81 6.144209739845390000E+31 31.78846603 39.25%
82 4.348205188020100000E+32 32.63831003 39.80%
83 3.090207905094520000E+33 33.4899877 40.35%
84 2.205234283950970000E+34 34.34345474 40.89%
85 1.580041245012630000E+35 35.19866842 41.41%
86 1.136547423649410000E+36 36.05558756 41.93%
87 8.206772432783470000E+36 36.91417239 42.43%
88 5.948185838334830000E+37 37.77438453 42.93%
89 4.327000106071310000E+38 38.63618691 43.41%
90 3.158956949929190000E+39 39.49954371 43.89%
91 2.314303521984890000E+40 40.36442032 44.36%
92 1.701309239034720000E+41 41.23078326 44.82%
93 1.254874121122790000E+42 42.09860016 45.27%
94 9.286235536389130000E+42 42.96783969 45.71%
95 6.894003980662390000E+43 43.83847153 46.15%
96 5.134123391769560000E+44 44.7104663 46.57%
97 3.835266672529030000E+45 45.58379557 46.99%
98 2.873636028459450000E+46 46.45843176 47.41%
99 2.159474925178780000E+47 47.33434817 47.81%
100 1.627492058460570000E+48 48.21151888 48.21%

白新岭 · 发表于 2019-7-17 17:41

邻距1 邻距2 邻距3 邻距4 邻距5 邻距6 邻距7
30 90 300 30 210 90 90
90 90 210 30 300 90 30
30 210 180 210 30 90 90
90 90 30 210 180 210 30
90 90 210 30 180 120 120
120 120 180 30 210 90 90
这是8束4生素数，有6种排列顺序，任何一种有逆8束4生素数，也就是这6种为3对互逆8束4生素数。

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