[原创]k生素数群的数量公式

白新岭

p+n中的n→→相邻间隔→→判断式→→p+n中的n→→相邻间隔→→判断式
0→→→→0→→→→60→→→→0→→→→0→→→→60
4→→→→4→→→→56→→→→2→→→→2→→→→58
6→→→→2→→→→54→→→→6→→→→4→→→→54
10→→→→4→→→→50→→→→12→→→→6→→→→48
16→→→→6→→→→44→→→→14→→→→2→→→→46
18→→→→2→→→→42→→→→20→→→→6→→→→40
24→→→→6→→→→36→→→→26→→→→6→→→→34
28→→→→4→→→→32→→→→30→→→→4→→→→30
30→→→→2→→→→30→→→→32→→→→2→→→→28
34→→→→4→→→→26→→→→36→→→→4→→→→24
40→→→→6→→→→20→→→→42→→→→6→→→→18
46→→→→6→→→→14→→→→44→→→→2→→→→16
48→→→→2→→→→12→→→→50→→→→6→→→→10
54→→→→6→→→→6→→→→54→→→→4→→→→6
58→→→→4→→→→2→→→→56→→→→2→→→→4
60→→→→2→→→→0→→→→60→→→→4→→→→0
以上是16生素数的最短间距和排列顺序（即结构式）

白新岭

p+n中的n→→相邻间隔→→判断式→→p+n中的n→→相邻间隔→→判断式
13→→→→0→→→→66→→→→2231→→→→0→→→→66
17→→→→4→→→→62→→→→2237→→→→6→→→→60
19→→→→2→→→→60→→→→2239→→→→2→→→→58
23→→→→4→→→→56→→→→2243→→→→4→→→→54
29→→→→6→→→→50→→→→2249→→→→6→→→→48
31→→→→2→→→→48→→→→2251→→→→2→→→→46
37→→→→6→→→→42→→→→2257→→→→6→→→→40
41→→→→4→→→→38→→→→2263→→→→6→→→→34
43→→→→2→→→→36→→→→2267→→→→4→→→→30
47→→→→4→→→→32→→→→2269→→→→2→→→→28
53→→→→6→→→→26→→→→2273→→→→4→→→→24
59→→→→6→→→→20→→→→2279→→→→6→→→→18
61→→→→2→→→→18→→→→2281→→→→2→→→→16
67→→→→6→→→→12→→→→2287→→→→6→→→→10
71→→→→4→→→→8→→→→2291→→→→4→→→→6
73→→→→2→→→→6→→→→2293→→→→2→→→→4
79→→→→6→→→→0→→→→2297→→→→4→→→→0
p+n中的n→→相邻间隔→→判断式→→p+n中的n→→相邻间隔→→判断式
17→→→→0→→→→66→→→→2227→→→→0→→→→66
19→→→→2→→→→64→→→→2231→→→→4→→→→62
23→→→→4→→→→60→→→→2237→→→→6→→→→56
29→→→→6→→→→54→→→→2239→→→→2→→→→54
31→→→→2→→→→52→→→→2243→→→→4→→→→50
37→→→→6→→→→46→→→→2249→→→→6→→→→44
41→→→→4→→→→42→→→→2251→→→→2→→→→42
43→→→→2→→→→40→→→→2257→→→→6→→→→36
47→→→→4→→→→36→→→→2263→→→→6→→→→30
53→→→→6→→→→30→→→→2267→→→→4→→→→26
59→→→→6→→→→24→→→→2269→→→→2→→→→24
61→→→→2→→→→22→→→→2273→→→→4→→→→20
67→→→→6→→→→16→→→→2279→→→→6→→→→14
71→→→→4→→→→12→→→→2281→→→→2→→→→12
73→→→→2→→→→10→→→→2287→→→→6→→→→6
79→→→→6→→→→4→→→→2291→→→→4→→→→2
83→→→→4→→→→0→→→→2293→→→→2→→→→0
以上是17生素数的最短间距和排列顺序（即结构式）

白新岭

p+n中的n→→相邻间隔→→判断式→→p+n中的n→→相邻间隔→→判断式
0→→→→0→→→→70→→→→0→→→→0→→→→70
4→→→→4→→→→66→→→→4→→→→4→→→→66
6→→→→2→→→→64→→→→10→→→→6→→→→60
10→→→→4→→→→60→→→→12→→→→2→→→→58
16→→→→6→→→→54→→→→16→→→→4→→→→54
18→→→→2→→→→52→→→→22→→→→6→→→→48
24→→→→6→→→→46→→→→24→→→→2→→→→46
28→→→→4→→→→42→→→→30→→→→6→→→→40
30→→→→2→→→→40→→→→36→→→→6→→→→34
34→→→→4→→→→36→→→→40→→→→4→→→→30
40→→→→6→→→→30→→→→42→→→→2→→→→28
46→→→→6→→→→24→→→→46→→→→4→→→→24
48→→→→2→→→→22→→→→52→→→→6→→→→18
54→→→→6→→→→16→→→→54→→→→2→→→→16
58→→→→4→→→→12→→→→60→→→→6→→→→10
60→→→→2→→→→10→→→→64→→→→4→→→→6
66→→→→6→→→→4→→→→66→→→→2→→→→4
70→→→→4→→→→0→→→→70→→→→4→→→→0
这是18生素数 的最短间距及排列顺序和相邻素数的间隔排列顺序。

ysr

能搞到渐进公式很不错,系数不会是常数吧,素数是越来越稀的,希望公式是多项式级的,不要太复杂,否则不实用,上面数据看不太懂,其中的0是p+n中n的值吗?是间隔为0吗?

白新岭

系数当然是一个常数，变数就没有意义了。主项是一个式子的积分。取前有限项即可，并不复杂。0是p+n中的n值，表示第一项p

白新岭

p+n中的n→→相邻间隔→→判断式→→p+n中的n→→相邻间隔→→判断式
0→→→→0→→→→76→→→→0→→→→0→→→→76
4→→→→4→→→→72→→→→6→→→→6→→→→70
6→→→→2→→→→70→→→→10→→→→4→→→→66
10→→→→4→→→→66→→→→16→→→→6→→→→60
16→→→→6→→→→60→→→→18→→→→2→→→→58
18→→→→2→→→→58→→→→22→→→→4→→→→54
24→→→→6→→→→52→→→→28→→→→6→→→→48
28→→→→4→→→→48→→→→30→→→→2→→→→46
30→→→→2→→→→46→→→→36→→→→6→→→→40
34→→→→4→→→→42→→→→42→→→→6→→→→34
40→→→→6→→→→36→→→→46→→→→4→→→→30
46→→→→6→→→→30→→→→48→→→→2→→→→28
48→→→→2→→→→28→→→→52→→→→4→→→→24
54→→→→6→→→→22→→→→58→→→→6→→→→18
58→→→→4→→→→18→→→→60→→→→2→→→→16
60→→→→2→→→→16→→→→66→→→→6→→→→10
66→→→→6→→→→10→→→→70→→→→4→→→→6
70→→→→4→→→→6→→→→72→→→→2→→→→4
76→→→→6→→→→0→→→→76→→→→4→→→→0
p+n中的n→→相邻间隔→→判断式→→p+n中的n→→相邻间隔→→判断式
0→→→→0→→→→76→→→→0→→→→0→→→→76
4→→→→4→→→→72→→→→4→→→→4→→→→72
6→→→→2→→→→70→→→→6→→→→2→→→→70
10→→→→4→→→→66→→→→10→→→→4→→→→66
16→→→→6→→→→60→→→→12→→→→2→→→→64
22→→→→6→→→→54→→→→16→→→→4→→→→60
24→→→→2→→→→52→→→→24→→→→8→→→→52
30→→→→6→→→→46→→→→30→→→→6→→→→46
34→→→→4→→→→42→→→→34→→→→4→→→→42
36→→→→2→→→→40→→→→40→→→→6→→→→36
42→→→→6→→→→34→→→→42→→→→2→→→→34
46→→→→4→→→→30→→→→46→→→→4→→→→30
52→→→→6→→→→24→→→→52→→→→6→→→→24
60→→→→8→→→→16→→→→54→→→→2→→→→22
64→→→→4→→→→12→→→→60→→→→6→→→→16
66→→→→2→→→→10→→→→66→→→→6→→→→10
70→→→→4→→→→6→→→→70→→→→4→→→→6
72→→→→2→→→→4→→→→72→→→→2→→→→4
76→→→→4→→→→0→→→→76→→→→4→→→→0
这是19生素数的4种不同的排列顺序及间距。

白新岭

p+n中的n→→相邻间隔→→判断式→→p+n中的n→→相邻间隔→→判断式
0→→→→→→→→80→→→→0→→→→→→→→80
2→→→→2→→→→78→→→→2→→→→2→→→→78
8→→→→6→→→→72→→→→6→→→→4→→→→74
12→→→→4→→→→68→→→→8→→→→2→→→→72
14→→→→2→→→→66→→→→12→→→→4→→→→68
18→→→→4→→→→62→→→→20→→→→8→→→→60
24→→→→6→→→→56→→→→26→→→→6→→→→54
30→→→→6→→→→50→→→→30→→→→4→→→→50
32→→→→2→→→→48→→→→36→→→→6→→→→44
38→→→→6→→→→42→→→→38→→→→2→→→→42
42→→→→4→→→→38→→→→42→→→→4→→→→38
44→→→→2→→→→36→→→→48→→→→6→→→→32
50→→→→6→→→→30→→→→50→→→→2→→→→30
54→→→→4→→→→26→→→→56→→→→6→→→→24
60→→→→6→→→→20→→→→62→→→→6→→→→18
68→→→→8→→→→12→→→→66→→→→4→→→→14
72→→→→4→→→→8→→→→68→→→→2→→→→12
74→→→→2→→→→6→→→→72→→→→4→→→→8
78→→→→4→→→→2→→→→78→→→→6→→→→2
80→→→→2→→→→0→→→→80→→→→2→→→→0
这是20生素数的2种排列顺序及间隔

白新岭

p+n中的n→→相邻间隔→→判断式→→p+n中的n→→相邻间隔→→判断式
0→→→→0→→→→84→→→→0→→→→0→→→→84
2→→→→2→→→→82→→→→4→→→→4→→→→80
8→→→→6→→→→76→→→→6→→→→2→→→→78
12→→→→4→→→→72→→→→10→→→→4→→→→74
14→→→→2→→→→70→→→→12→→→→2→→→→72
18→→→→4→→→→66→→→→16→→→→4→→→→68
24→→→→6→→→→60→→→→24→→→→8→→→→60
30→→→→6→→→→54→→→→30→→→→6→→→→54
32→→→→2→→→→52→→→→34→→→→4→→→→50
38→→→→6→→→→46→→→→40→→→→6→→→→44
42→→→→4→→→→42→→→→42→→→→2→→→→42
44→→→→2→→→→40→→→→46→→→→4→→→→38
50→→→→6→→→→34→→→→52→→→→6→→→→32
54→→→→4→→→→30→→→→54→→→→2→→→→30
60→→→→6→→→→24→→→→60→→→→6→→→→24
68→→→→8→→→→16→→→→66→→→→6→→→→18
72→→→→4→→→→12→→→→70→→→→4→→→→14
74→→→→2→→→→10→→→→72→→→→2→→→→12
78→→→→4→→→→6→→→→76→→→→4→→→→8
80→→→→2→→→→4→→→→82→→→→6→→→→2
84→→→→4→→→→0→→→→84→→→→2→→→→0
这是21生素数的2种排列顺序及间隔

白新岭

p+n中的n→→相邻间隔→→判断式→→p+n中的n→→相邻间隔→→判断式
0→→→→0→→→→90→→→→0→→→→0→→→→90
6→→→→6→→→→84→→→→4→→→→4→→→→86
8→→→→2→→→→82→→→→6→→→→2→→→→84
14→→→→6→→→→76→→→→10→→→→4→→→→80
18→→→→4→→→→72→→→→12→→→→2→→→→78
20→→→→2→→→→70→→→→16→→→→4→→→→74
24→→→→4→→→→66→→→→24→→→→8→→→→66
30→→→→6→→→→60→→→→30→→→→6→→→→60
36→→→→6→→→→54→→→→34→→→→4→→→→56
38→→→→2→→→→52→→→→40→→→→6→→→→50
44→→→→6→→→→46→→→→42→→→→2→→→→48
48→→→→4→→→→42→→→→46→→→→4→→→→44
50→→→→2→→→→40→→→→52→→→→6→→→→38
56→→→→6→→→→34→→→→54→→→→2→→→→36
60→→→→4→→→→30→→→→60→→→→6→→→→30
66→→→→6→→→→24→→→→66→→→→6→→→→24
74→→→→8→→→→16→→→→70→→→→4→→→→20
78→→→→4→→→→12→→→→72→→→→2→→→→18
80→→→→2→→→→10→→→→76→→→→4→→→→14
84→→→→4→→→→6→→→→82→→→→6→→→→8
86→→→→2→→→→4→→→→84→→→→2→→→→6
90→→→→4→→→→0→→→→90→→→→6→→→→0
p+n中的n→→相邻间隔→→判断式→→p+n中的n→→相邻间隔→→判断式
0→→→→→→→→90→→→→0→→→→→→→→90
4→→→→4→→→→86→→→→2→→→→2→→→→88
10→→→→6→→→→80→→→→6→→→→4→→→→84
12→→→→2→→→→78→→→→8→→→→2→→→→82
18→→→→6→→→→72→→→→12→→→→4→→→→78
22→→→→4→→→→68→→→→20→→→→8→→→→70
24→→→→2→→→→66→→→→26→→→→6→→→→64
28→→→→4→→→→62→→→→30→→→→4→→→→60
34→→→→6→→→→56→→→→36→→→→6→→→→54
40→→→→6→→→→50→→→→38→→→→2→→→→52
42→→→→2→→→→48→→→→42→→→→4→→→→48
48→→→→6→→→→42→→→→48→→→→6→→→→42
52→→→→4→→→→38→→→→50→→→→2→→→→40
54→→→→2→→→→36→→→→56→→→→6→→→→34
60→→→→6→→→→30→→→→62→→→→6→→→→28
64→→→→4→→→→26→→→→66→→→→4→→→→24
70→→→→6→→→→20→→→→68→→→→2→→→→22
78→→→→8→→→→12→→→→72→→→→4→→→→18
82→→→→4→→→→8→→→→78→→→→6→→→→12
84→→→→2→→→→6→→→→80→→→→2→→→→10
88→→→→4→→→→2→→→→86→→→→6→→→→4
90→→→→2→→→→0→→→→90→→→→4→→→→0
这是22生素数的4种排列顺序及间隔

白新岭

p+n中的n→→相邻间隔→→判断式→→p+n中的n→→相邻间隔→→判断式
0→→→→0→→→→100→→→→0→→→→0→→→→100
4→→→→4→→→→96→→→→4→→→→4→→→→96
6→→→→2→→→→94→→→→6→→→→2→→→→94
10→→→→4→→→→90→→→→12→→→→6→→→→88
16→→→→6→→→→84→→→→16→→→→4→→→→84
18→→→→2→→→→82→→→→24→→→→8→→→→76
24→→→→6→→→→76→→→→30→→→→6→→→→70
28→→→→4→→→→72→→→→34→→→→4→→→→66
30→→→→2→→→→70→→→→40→→→→6→→→→60
34→→→→4→→→→66→→→→42→→→→2→→→→58
40→→→→6→→→→60→→→→46→→→→4→→→→54
46→→→→6→→→→54→→→→52→→→→6→→→→48
48→→→→2→→→→52→→→→54→→→→2→→→→46
54→→→→6→→→→46→→→→60→→→→6→→→→40
58→→→→4→→→→42→→→→66→→→→6→→→→34
60→→→→2→→→→40→→→→70→→→→4→→→→30
66→→→→6→→→→34→→→→72→→→→2→→→→28
70→→→→4→→→→30→→→→76→→→→4→→→→24
76→→→→6→→→→24→→→→82→→→→6→→→→18
84→→→→8→→→→16→→→→84→→→→2→→→→16
88→→→→4→→→→12→→→→90→→→→6→→→→10
94→→→→6→→→→6→→→→94→→→→4→→→→6
96→→→→2→→→→4→→→→96→→→→2→→→→4
100→→→→4→→→→0→→→→100→→→→4→→→→0
p+n中的n→→相邻间隔→→判断式→→p+n中的n→→相邻间隔→→判断式
0→→→→0→→→→100→→→→0→→→→0→→→→100
4→→→→4→→→→96→→→→4→→→→4→→→→96
6→→→→2→→→→94→→→→6→→→→2→→→→94
10→→→→4→→→→90→→→→10→→→→4→→→→90
16→→→→6→→→→84→→→→12→→→→2→→→→88
18→→→→2→→→→82→→→→16→→→→4→→→→84
24→→→→6→→→→76→→→→24→→→→8→→→→76
28→→→→4→→→→72→→→→30→→→→6→→→→70
30→→→→2→→→→70→→→→34→→→→4→→→→66
34→→→→4→→→→66→→→→40→→→→6→→→→60
40→→→→6→→→→60→→→→42→→→→2→→→→58
48→→→→8→→→→52→→→→46→→→→4→→→→54
54→→→→6→→→→46→→→→52→→→→6→→→→48
58→→→→4→→→→42→→→→60→→→→8→→→→40
60→→→→2→→→→40→→→→66→→→→6→→→→34
66→→→→6→→→→34→→→→70→→→→4→→→→30
70→→→→4→→→→30→→→→72→→→→2→→→→28
76→→→→6→→→→24→→→→76→→→→4→→→→24
84→→→→8→→→→16→→→→82→→→→6→→→→18
88→→→→4→→→→12→→→→84→→→→2→→→→16
90→→→→2→→→→10→→→→90→→→→6→→→→10
94→→→→4→→→→6→→→→94→→→→4→→→→6
96→→→→2→→→→4→→→→96→→→→2→→→→4
100→→→→4→→→→0→→→→100→→→→4→→→→0
以上为24生素数的4种排列顺序及间距，正好为100.