[原创]k生素数群的数量公式

白新岭

试着给出30n的偶数在4生素数群中值的分拆公式。4生素数群指（P,P+2,P+6,P+8)这样的素数群，这一组数同时都是素数，每组中的素数间隔距离恒定。中值是指P+4,它是合数，一定有因子5，但P,及P+2,P+6，P+8都是素数。

白新岭

上边各楼分别列出了2-12生素数在10^66次方以前的数量，有编程能力的网友可以验证。

白新岭

有兴趣的网友可以继续研究k生素数群的中值的2维加法合成，即k生素数群的前后两个素数的中项值相加的分布情况，也可以给出渐进公式。

白新岭

k生素数群的数量渐进公式已经找到。只是系数不能全部给出。

APB先生

助君成功！

白新岭

素数与歌猜，孪生素数对与12n类数的猜想及渐进公式值

白新岭

今天浏览此帖时已沉到10页，为了方便感兴趣的网友阅读特顶起。

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→→→→48→→→→0→→→→0→→→→48
2→→→→2→→→→46→→→→6→→→→6→→→→42
6→→→→4→→→→42→→→→12→→→→6→→→→36
8→→→→2→→→→40→→→→16→→→→4→→→→32
12→→→→4→→→→36→→→→18→→→→2→→→→30
18→→→→6→→→→30→→→→22→→→→4→→→→26
20→→→→2→→→→28→→→→28→→→→6→→→→20
26→→→→6→→→→22→→→→30→→→→2→→→→18
30→→→→4→→→→18→→→→36→→→→6→→→→12
32→→→→2→→→→16→→→→40→→→→4→→→→8
36→→→→4→→→→12→→→→42→→→→2→→→→6
42→→→→6→→→→6→→→→46→→→→4→→→→2
48→→→→6→→→→0→→→→48→→→→2→→→→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→→→→48→→→→0→→→→0→→→→48
4→→→→4→→→→44→→→→2→→→→2→→→→46
6→→→→2→→→→42→→→→8→→→→6→→→→40
10→→→→4→→→→38→→→→14→→→→6→→→→34
16→→→→6→→→→32→→→→18→→→→4→→→→30
18→→→→2→→→→30→→→→20→→→→2→→→→28
24→→→→6→→→→24→→→→24→→→→4→→→→24
28→→→→4→→→→20→→→→30→→→→6→→→→18
30→→→→2→→→→18→→→→32→→→→2→→→→16
34→→→→4→→→→14→→→→38→→→→6→→→→10
40→→→→6→→→→8→→→→42→→→→4→→→→6
46→→→→6→→→→2→→→→44→→→→2→→→→4
48→→→→2→→→→0→→→→48→→→→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→→→→48→→→→0→→→→0→→→→48
4→→→→4→→→→44→→→→2→→→→2→→→→46
6→→→→2→→→→42→→→→12→→→→10→→→→36
10→→→→4→→→→38→→→→14→→→→2→→→→34
16→→→→6→→→→32→→→→18→→→→4→→→→30
18→→→→2→→→→30→→→→20→→→→2→→→→28
24→→→→6→→→→24→→→→24→→→→4→→→→24
28→→→→4→→→→20→→→→30→→→→6→→→→18
30→→→→2→→→→18→→→→32→→→→2→→→→16
34→→→→4→→→→14→→→→38→→→→6→→→→10
36→→→→2→→→→12→→→→42→→→→4→→→→6
46→→→→10→→→→2→→→→44→→→→2→→→→4
48→→→→2→→→→0→→→→48→→→→4→→→→0
以前发表了前12生的排列形式及最短间距和10的66次方内的数量，及系数，这是13生素数的6种不同的排列形式，和最短间距。这样多的排列形式出乎我的意料。

白新岭

14生素数的最短间距和排列顺序（即结构式）
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→→→→50→→→→0→→→→0→→→→50
2→→→→2→→→→48→→→→2→→→→2→→→→48
8→→→→6→→→→42→→→→6→→→→4→→→→44
14→→→→6→→→→36→→→→8→→→→2→→→→42
18→→→→4→→→→32→→→→12→→→→4→→→→38
20→→→→2→→→→30→→→→18→→→→6→→→→32
24→→→→4→→→→26→→→→20→→→→2→→→→30
30→→→→6→→→→20→→→→26→→→→6→→→→24
32→→→→2→→→→18→→→→30→→→→4→→→→20
38→→→→6→→→→12→→→→32→→→→2→→→→18
42→→→→4→→→→8→→→→36→→→→4→→→→14
44→→→→2→→→→6→→→→42→→→→6→→→→8
48→→→→4→→→→2→→→→48→→→→6→→→→2
50→→→→2→→→→0→→→→50→→→→2→→→→0

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→→→→56→→→→0→→→→0→→→→56
2→→→→2→→→→54→→→→6→→→→6→→→→50
6→→→→4→→→→50→→→→8→→→→2→→→→48
8→→→→2→→→→48→→→→14→→→→6→→→→42
12→→→→4→→→→44→→→→20→→→→6→→→→36
18→→→→6→→→→38→→→→24→→→→4→→→→32
20→→→→2→→→→36→→→→26→→→→2→→→→30
26→→→→6→→→→30→→→→30→→→→4→→→→26
30→→→→4→→→→26→→→→36→→→→6→→→→20
32→→→→2→→→→24→→→→38→→→→2→→→→18
36→→→→4→→→→20→→→→44→→→→6→→→→12
42→→→→6→→→→14→→→→48→→→→4→→→→8
48→→→→6→→→→8→→→→50→→→→2→→→→6
50→→→→2→→→→6→→→→54→→→→4→→→→2
56→→→→6→→→→0→→→→56→→→→2→→→→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→→→→56→→→→0→→→→0→→→→56
2→→→→2→→→→54→→→→2→→→→2→→→→54
6→→→→4→→→→50→→→→6→→→→4→→→→50
12→→→→6→→→→44→→→→12→→→→6→→→→44
14→→→→2→→→→42→→→→14→→→→2→→→→42
20→→→→6→→→→36→→→→20→→→→6→→→→36
24→→→→4→→→→32→→→→26→→→→6→→→→30
26→→→→2→→→→30→→→→30→→→→4→→→→26
30→→→→4→→→→26→→→→32→→→→2→→→→24
36→→→→6→→→→20→→→→36→→→→4→→→→20
42→→→→6→→→→14→→→→42→→→→6→→→→14
44→→→→2→→→→12→→→→44→→→→2→→→→12
50→→→→6→→→→6→→→→50→→→→6→→→→6
54→→→→4→→→→2→→→→54→→→→4→→→→2
56→→→→2→→→→0→→→→56→→→→2→→→→0
以上是15生素数的最短间距和排列顺序（即结构式）