[原创]k生素数群的数量公式

白新岭 · 发表于 2019-7-30 16:51

n(10的次幂）最密41生素数的数量
71 2.000000000000000000E+00
72 1.500000000000000000E+01
73 8.900000000000000000E+01
74 5.100000000000000000E+02
75 2.931000000000000000E+03
76 1.695900000000000000E+04
77 9.883200000000000000E+04
78 5.800130000000000000E+05
79 3.427298000000000000E+06
80 2.038763900000000000E+07
81 1.220703470000000000E+08
82 7.355486940000000000E+08
83 4.459673458000000000E+09
84 2.720319421900000000E+10
85 1.669164459780000000E+11
86 1.030101811588000000E+12
87 6.392997111521000000E+12
88 3.989475224542500000E+13
89 2.502991949445690000E+14
90 1.578639293804080000E+15
91 1.000772276165590000E+16
92 6.376279396118140000E+16
93 4.082550408414600000E+17
94 2.626527121116750000E+18
95 1.697750201343930000E+19
96 1.102463257495000000E+20
97 7.191361354217960000E+20
98 4.711663579601870000E+21
99 3.100376065190720000E+22
100 2.048770814802520000E+23
101 1.359484911456830000E+24
102 9.057776986271830000E+24
103 6.058991470485830000E+25
104 4.068898230564430000E+26
105 2.742952855840850000E+27
106 1.856064600706960000E+28
107 1.260579281333860000E+29
108 8.592500135964300000E+29
109 5.877762681078220000E+30
110 4.034774622262360000E+31
111 2.779160588078770000E+32
112 1.920738650465970000E+33
113 1.331855307657530000E+34
114 9.265193935696250000E+34
115 6.466003186664210000E+35
116 4.526652202480620000E+36
117 3.178737469253720000E+37
118 2.238956350832360000E+38
119 1.581713131585530000E+39
120 1.120673752407160000E+40
121 7.963039533506280000E+40
122 5.674218642807190000E+41
123 4.054530997223130000E+42
124 2.905112012540260000E+43
125 2.087149937554570000E+44
126 1.503468035703090000E+45
127 1.085841041107810000E+46
128 7.862342559173010000E+46
129 5.707342033290570000E+47
130 4.153316671824180000E+48

白新岭 · 发表于 2019-7-30 16:53

在10的73次方时才有89组41生素数，所以要想找到一组实例还是很困难的。

白新岭 · 发表于 2019-7-30 17:38

素数式42 素数式42
0 0
4 4
2 6
4 2
2 4
4 6
8 2
6 6
4 6
6 4
2 2
4 4
6 6
2 2
6 6
10 4
2 2
4 16
6 2
2 16
6 2
4 4
2 6
16 2
2 6
16 4
2 2
4 10
6 6
2 2
6 6
4 4
2 2
4 6
6 4
6 6
2 8
6 4
4 2
2 4
6 2
4 4

白新岭 · 发表于 2019-7-31 16:34

本帖最后由白新岭于 2019-7-31 08:45 编辑

最密42生素数的最终系数C42(L196)=1.53649470453489E+21

白新岭 · 发表于 2019-7-31 16:38

n(10的次幂）最密42生素数的数量
72 1.000000000000000000E+00
73 6.000000000000000000E+00
74 3.800000000000000000E+01
75 2.200000000000000000E+02
76 1.257000000000000000E+03
77 7.232000000000000000E+03
78 4.189500000000000000E+04
79 2.443970000000000000E+05
80 1.435482000000000000E+06
81 8.487825000000000000E+06
82 5.051505300000000000E+07
83 3.025531390000000000E+08
84 1.823359083000000000E+09
85 1.105523696000000000E+10
86 6.742595795500000000E+10
87 4.136085482330000000E+11
88 2.551510570068000000E+12
89 1.582686449237600000E+13
90 9.870248791025200000E+13
91 6.187922804348830000E+14
92 3.899373582998150000E+15
93 2.469614845516660000E+16
94 1.571812974184920000E+17
95 1.005226947372370000E+18
96 6.459141335017950000E+18
97 4.169558349222080000E+19
98 2.703761932104640000E+20
99 1.761042213800210000E+21
100 1.152006772002990000E+22
101 7.568092734367110000E+22
102 4.992606445832490000E+23
103 3.307060257476320000E+24
104 2.199359500600610000E+25
105 1.468439755831910000E+26
106 9.842133607695580000E+26
107 6.621615130232930000E+27
108 4.471460550450780000E+28
109 3.030510244377370000E+29
110 2.061265398034200000E+30
111 1.406940038459530000E+31
112 9.636365579016650000E+31
113 6.622472634732150000E+32
114 4.566360973627710000E+33
115 3.158916125241180000E+34
116 2.192295168596410000E+35
117 1.526261559680620000E+36
118 1.065870550533740000E+37
119 7.466252360267630000E+37
120 5.245674010893480000E+38
121 3.696397320471840000E+39
122 2.612242767211350000E+40
123 1.851336274926760000E+41
124 1.315751351560460000E+42
125 9.376902889357000000E+42
126 6.700742133649370000E+43
127 4.801153125787370000E+44
128 3.449126242482190000E+45
129 2.484252007378980000E+46
130 1.793856901896790000E+47
131 1.298579356814800000E+48

白新岭 · 发表于 2019-7-31 16:50

素数式43 素数式43 素数式43 素数式43 素数式43 素数式43
0 0 0 0 0 0
2 2 2 2 2 2
4 4 10 4 10 10
2 2 2 2 2 2
4 4 4 4 4 4
6 6 6 6 2 2
2 2 8 2 4 4
6 6 6 6 14 8
4 4 4 4 4 6
2 2 2 2 2 4
4 4 4 4 4 2
6 6 6 6 6 4
6 6 6 6 6 6
2 2 2 2 2 6
6 6 6 6 6 2
6 6 4 6 4 6
6 6 8 6 8 4
4 4 4 4 4 8
6 6 6 6 6 4
8 8 8 8 8 6
4 4 4 4 4 8
6 6 2 6 2 6
6 2 6 2 6 6
8 4 4 4 4 4
6 8 8 8 8 8
4 6 6 6 6 6
8 4 4 4 4 4
4 8 6 8 6 6
6 4 6 4 6 6
2 6 6 6 6 6
6 2 2 2 2 2
6 6 6 6 6 6
4 6 6 6 6 6
2 4 4 4 4 4
4 2 2 2 2 2
6 4 4 4 4 4
8 14 6 6 6 6
4 4 2 8 2 2
2 2 6 6 6 6
4 4 4 4 4 4
2 2 2 2 2 2
10 10 4 10 4 4
2 2 2 2 2 2

白新岭 · 发表于 2019-7-31 16:50

最密43生素数的最终系数C43(L200)=2.71957605937124E+21(上楼第一列的)

白新岭 · 发表于 2019-7-31 16:50

最密43生素数的最终系数C43(L200)=2.71957605937124E+21(上楼第一列的)

白新岭 · 发表于 2019-7-31 16:53

n(10的次幂）最密43生素数的数量
75 2.000000000000000000E+00
76 1.200000000000000000E+01
77 7.200000000000000000E+01
78 4.150000000000000000E+02
79 2.395000000000000000E+03
80 1.389100000000000000E+04
81 8.111700000000000000E+04
82 4.768280000000000000E+05
83 2.821188000000000000E+06
84 1.679792600000000000E+07
85 1.006392840000000000E+08
86 6.066023470000000000E+08
87 3.677934096000000000E+09
88 2.242889549300000000E+10
89 1.375494096080000000E+11
90 8.482057785390000000E+11
91 5.258743463967000000E+12
92 3.277550471139700000E+13
93 2.053305227387030000E+14
94 1.292843802598230000E+15
95 8.180508004366210000E+15
96 5.201287942416360000E+16
97 3.322722606893630000E+17
98 2.132491778596420000E+18
99 1.374831790549060000E+19
100 8.903090198485170000E+19
101 5.790582822465540000E+20
102 3.782304808743740000E+21
103 2.480887500384340000E+22
104 1.633949157916030000E+23
105 1.080479613321700000E+24
106 7.173115433197630000E+24
107 4.780571857426260000E+25
108 3.198167203676610000E+26
109 2.147539395679930000E+27
110 1.447338099335700000E+28
111 9.789460705421810000E+28
112 6.644759726104690000E+29
113 4.525891281938340000E+30
114 3.093189923082910000E+31
115 2.121097860180650000E+32
116 1.459288539288710000E+33
117 1.007217673781030000E+34
118 6.974020053158760000E+34
119 4.843924150394420000E+35
120 3.374760494659970000E+36
121 2.358293334889060000E+37
122 1.652875918512030000E+38
123 1.161847411452280000E+39
124 8.190373750721280000E+39
125 5.790072464766410000E+40
126 4.104594752261040000E+41
127 2.917718595595670000E+42
128 2.079623087102050000E+43
129 1.486194616866350000E+44
130 1.064875189963610000E+45
131 7.649556589859540000E+45
132 5.508981333603690000E+46
133 3.977289208045310000E+47
134 2.878509036977180000E+48

白新岭 · 发表于 2019-7-31 16:53

n(10的次幂）最密43生素数的数量
75 2.000000000000000000E+00
76 1.200000000000000000E+01
77 7.200000000000000000E+01
78 4.150000000000000000E+02
79 2.395000000000000000E+03
80 1.389100000000000000E+04
81 8.111700000000000000E+04
82 4.768280000000000000E+05
83 2.821188000000000000E+06
84 1.679792600000000000E+07
85 1.006392840000000000E+08
86 6.066023470000000000E+08
87 3.677934096000000000E+09
88 2.242889549300000000E+10
89 1.375494096080000000E+11
90 8.482057785390000000E+11
91 5.258743463967000000E+12
92 3.277550471139700000E+13
93 2.053305227387030000E+14
94 1.292843802598230000E+15
95 8.180508004366210000E+15
96 5.201287942416360000E+16
97 3.322722606893630000E+17
98 2.132491778596420000E+18
99 1.374831790549060000E+19
100 8.903090198485170000E+19
101 5.790582822465540000E+20
102 3.782304808743740000E+21
103 2.480887500384340000E+22
104 1.633949157916030000E+23
105 1.080479613321700000E+24
106 7.173115433197630000E+24
107 4.780571857426260000E+25
108 3.198167203676610000E+26
109 2.147539395679930000E+27
110 1.447338099335700000E+28
111 9.789460705421810000E+28
112 6.644759726104690000E+29
113 4.525891281938340000E+30
114 3.093189923082910000E+31
115 2.121097860180650000E+32
116 1.459288539288710000E+33
117 1.007217673781030000E+34
118 6.974020053158760000E+34
119 4.843924150394420000E+35
120 3.374760494659970000E+36
121 2.358293334889060000E+37
122 1.652875918512030000E+38
123 1.161847411452280000E+39
124 8.190373750721280000E+39
125 5.790072464766410000E+40
126 4.104594752261040000E+41
127 2.917718595595670000E+42
128 2.079623087102050000E+43
129 1.486194616866350000E+44
130 1.064875189963610000E+45
131 7.649556589859540000E+45
132 5.508981333603690000E+46
133 3.977289208045310000E+47
134 2.878509036977180000E+48

		自动登录	找回密码
密码			注册

[原创]k生素数群的数量公式

浏览过的版块