k维素数与k生素数束

白新岭 · 发表于 2019-7-9 16:26

郑重声明因为参考值的失误，10^23以后的数据有误，向大家道歉，它是对应范围*2.84537254250991内的k生素数的数量，也就是说范围值扩大了不到3倍。

白新岭 · 发表于 2019-7-9 16:32

n(10的次幂） 10束孪生素数对的数量
28 3.000000000000000000E+00
29 1.800000000000000000E+01
30 9.300000000000000000E+01
31 4.760000000000000000E+02
32 2.492000000000000000E+03
33 1.331300000000000000E+04
34 7.247900000000000000E+04
35 4.017790000000000000E+05
36 2.265427000000000000E+06
37 1.298029200000000000E+07
38 7.551056100000000000E+07
39 4.456232120000000000E+08
40 2.665879679000000000E+09
41 1.615572765700000000E+10
42 9.911712537900000000E+10
43 6.152479566880000000E+11
44 3.861822541063000000E+12
45 2.449926039717700000E+13
46 1.570091879277120000E+14
47 1.016050266025910000E+15
48 6.636551343531180000E+15
49 4.373583384628970000E+16
50 2.906973640226170000E+17
51 1.948068347303720000E+18
52 1.315789011523440000E+19
53 8.954782161893120000E+19
54 6.138832604674670000E+20
55 4.237998806128200000E+21
56 2.945566918433990000E+22
57 2.060652398299250000E+23
58 1.450670241909920000E+24
59 1.027463283676800000E+25
60 7.319946869881760000E+25
61 5.244552385825770000E+26
62 3.778216956641200000E+27
63 2.736316607610320000E+28
64 1.991927357860570000E+29
65 1.457264900405930000E+30
66 1.071259711556520000E+31
67 7.911862689867870000E+31
68 5.869886645788320000E+32
69 4.374109821995090000E+33
70 3.273430843468420000E+34
71 2.459897935971450000E+35
72 1.856011230596700000E+36
73 1.405869453025140000E+37
74 1.068965209681470000E+38
75 8.158147012187820000E+38
76 6.248645106231880000E+39
77 4.802919052731790000E+40
78 3.704333368420020000E+41
79 2.866566976891600000E+42
80 2.225484909727330000E+43
81 1.733254843589840000E+44
82 1.354070850271520000E+45
83 1.061032752162080000E+46
84 8.338598242164340000E+46
85 6.572093341103830000E+47
86 5.194352769236750000E+48
87 4.116687136003520000E+49
88 3.271339554535720000E+50
89 2.606383401189550000E+51
90 2.081902355514750000E+52
91 1.667120950130690000E+53
92 1.338242112519170000E+54
93 1.076812328732900000E+55
94 8.684818546083690000E+55
95 7.020616577305950000E+56
96 5.688039390022770000E+57
97 4.618516316984030000E+58
98 3.758159931449870000E+59
99 3.064515810492160000E+60
100 2.504054806705080000E+61
这是10束孪生素数对的数量。

白新岭 · 发表于 2019-7-9 17:05

邻距1 邻距2 邻距3 邻距4 邻距5 邻距6 邻距7 邻距8 邻距9 邻距10
12 18 12 12 6 24 6 12 30 12
12 30 12 6 24 6 12 12 18 12
12 18 12 12 18 12 6 24 18 12
12 18 24 6 12 18 12 12 18 12
12 18 12 12 18 18 12 12 18 12
11束孪生素数对有以上5种，最后一行的11束孪生素数对是自对称11束孪生素数对，也就是说它没有逆11束孪生素数对。

白新岭 · 发表于 2019-7-9 17:07

11束孪 11束孪 11束孪 11束孪 11束孪
12 12 12 12 12
18 30 18 18 18
12 12 12 24 12
12 6 12 6 12
6 24 18 12 18
24 6 12 18 18
6 12 6 12 12
12 12 24 12 12
30 18 18 18 18
12 12 12 12 12
每一列为1种11束孪生素数对。

白新岭 · 发表于 2019-7-9 17:10

11束孪 11束孪 11束孪 11束孪 11束孪
0 0 0 0 0
2 2 2 2 2
12 12 12 12 12
14 14 14 14 14
30 42 30 30 30
32 44 32 32 32
42 54 42 54 42
44 56 44 56 44
54 60 54 60 54
56 62 56 62 56
60 84 72 72 72
62 86 74 74 74
84 90 84 90 90
86 92 86 92 92
90 102 90 102 102
92 104 92 104 104
102 114 114 114 114
104 116 116 116 116
132 132 132 132 132
134 134 134 134 134
144 144 144 144 144
146 146 146 146 146
以间距表示的11束孪生素数对。

白新岭 · 发表于 2019-7-9 17:12

11束孪 11束孪 11束孪 11束孪 11束孪
0 0 0 0 0
2 2 2 2 2
10 10 10 10 10
2 2 2 2 2
16 28 16 16 16
2 2 2 2 2
10 10 10 22 10
2 2 2 2 2
10 4 10 4 10
2 2 2 2 2
4 22 16 10 16
2 2 2 2 2
22 4 10 16 16
2 2 2 2 2
4 10 4 10 10
2 2 2 2 2
10 10 22 10 10
2 2 2 2 2
28 16 16 16 16
2 2 2 2 2
10 10 10 10 10
2 2 2 2 2
以邻距表示的11束孪生素数对。

白新岭 · 发表于 2019-7-9 17:19

11束孪生素数对的最终系数=11482410231.3012 （上两楼第一列11束孪生素数对的数量公式中的系数）

白新岭 · 发表于 2019-7-9 17:22

n(10的次幂） 11束孪生素数对的数量
31 2.000000000000000000E+00
32 1.300000000000000000E+01
33 6.800000000000000000E+01
34 3.500000000000000000E+02
35 1.833000000000000000E+03
36 9.756000000000000000E+03
37 5.285500000000000000E+04
38 2.911720000000000000E+05
39 1.629607000000000000E+06
40 9.258308000000000000E+06
41 5.335373800000000000E+07
42 3.116569060000000000E+08
43 1.844097011000000000E+09
44 1.104644372800000000E+10
45 6.694957490200000000E+10
46 4.103281588230000000E+11
47 2.541907051532000000E+12
48 1.590865168467800000E+13
49 1.005461878241460000E+14
50 6.414770667099700000E+14
51 4.129670106865520000E+15
52 2.681720390350230000E+16
53 1.756021293211880000E+17
54 1.159115706464700000E+18
55 7.710362996423620000E+18
56 5.167152917424010000E+19
57 3.487709625223310000E+20
58 2.370456862933210000E+21
59 1.621893989422670000E+22
60 1.116896206620790000E+23
61 7.739436775166810000E+23
62 5.395391654975180000E+24
63 3.783283646614750000E+25
64 2.667880858857550000E+26
65 1.891640739845160000E+27
66 1.348379853874260000E+28
67 9.660892315259390000E+28
68 6.956435915291860000E+29
69 5.033348857400610000E+30
70 3.659037807438210000E+31
71 2.672132188343340000E+32
72 1.960081786208010000E+33
73 1.443982861352420000E+34
74 1.068243026186570000E+35
75 7.935037066552180000E+35
76 5.917678723370030000E+36
77 4.430287150748180000E+37
78 3.329252662681000000E+38
79 2.511042280736040000E+39
80 1.900698746990760000E+40
81 1.443728959675800000E+41
82 1.100357307443400000E+42
83 8.414366440307180000E+42
84 6.455263650015330000E+43
85 4.967957994322450000E+44
86 3.835137078208720000E+45
87 2.969557391388350000E+46
88 2.306111480685270000E+47
89 1.796046318265610000E+48
90 1.402734009064450000E+49
91 1.098566922232180000E+50
92 8.626702946599980000E+50
93 6.792112910996010000E+51
94 5.361447941188210000E+52
95 4.242800729488830000E+53
96 3.365840067061700000E+54
97 2.676592724257780000E+55
98 2.133523614954770000E+56
99 1.704582363973280000E+57
100 1.364971459973400000E+58

白新岭 · 发表于 2019-7-9 17:38

12束孪生素数对 (0,6,30,12,18,12,12,18,18,12,12,18)
12束孪生素数对 (0,18,12,12,18,18,12,12,18,12,30,6)
12束孪生素数对 (0,6,12,12,18,12,30,6,30,12,18,12)
12束孪生素数对 (0,12,18,12,30,6,30,12,18,12,12,6)
这是12束孪生素数对的4种排列顺序。

白新岭 · 发表于 2019-7-9 17:43

12束孪 12束孪 12束孪 12束孪
0 0 0 0
2 2 2 2
6 18 6 12
8 20 8 14
36 30 18 30
38 32 20 32
48 42 30 42
50 44 32 44
66 60 48 72
68 62 50 74
78 78 60 78
80 80 62 80
90 90 90 108
92 92 92 110
108 102 96 120
110 104 98 122
126 120 126 138
128 122 128 140
138 132 138 150
140 134 140 152
150 162 156 162
152 164 158 164
168 168 168 168
170 170 170 170
这是12束孪生素数对的4种排列顺序（以间距表示）。

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