[原创]k生素数群的数量公式

白新岭 · 发表于 2019-8-2 15:40

素数式46 素数式46 素数式46 素数式46
0 0 0 0
4 2 4 2
2 4 2 4
10 2 10 2
2 4 2 4
10 6 10 6
2 2 2 2
4 6 4 6
6 4 2 4
8 2 4 2
6 4 14 4
4 6 4 6
2 6 2 6
4 2 4 2
6 6 6 6
6 6 6 6
2 6 2 6
6 4 6 4
4 6 4 6
8 8 8 8
4 4 4 4
6 6 6 6
8 2 8 2
4 4 4 4
2 8 2 8
6 6 6 6
4 4 4 4
8 8 8 8
6 4 6 4
4 6 4 6
6 2 6 2
6 6 6 6
6 6 6 6
2 4 2 4
6 2 6 2
6 4 6 4
4 14 4 6
2 4 2 8
4 2 4 6
6 4 6 4
2 2 2 2
6 10 6 10
4 2 4 2
2 10 2 10
4 2 4 2
2 4 2 4

白新岭 · 发表于 2019-8-2 15:45

最密46生素数的最终系数C46(L216)=1.76699949374412E+23

白新岭 · 发表于 2019-8-2 15:47

n(10的次幂）最密46生素数的数量
82 4.000000000000000000E+00
83 2.600000000000000000E+01
84 1.530000000000000000E+02
85 8.890000000000000000E+02
86 5.176000000000000000E+03
87 3.030900000000000000E+04
88 1.785540000000000000E+05
89 1.058227000000000000E+06
90 6.308793000000000000E+06
91 3.782823800000000000E+07
92 2.281041170000000000E+08
93 1.383069053000000000E+09
94 8.431340163000000000E+09
95 5.167033887400000000E+10
96 3.182947643590000000E+11
97 1.970671461749000000E+12
98 1.226168145622500000E+13
99 7.666423826956500000E+13
100 4.816148635375930000E+14
101 3.039693238263150000E+15
102 1.927268612748290000E+16
103 1.227434541862480000E+17
104 7.851636089583050000E+17
105 5.044184238611510000E+18
106 3.254280311892550000E+19
107 2.108227703446700000E+20
108 1.371339196899410000E+21
109 8.955798185705860000E+21
110 5.871700126846210000E+22
111 3.864493631767100000E+23
112 2.553055898758250000E+24
113 1.692924938787170000E+25
114 1.126668538998030000E+26
115 7.525024299776030000E+26
116 5.043660420047440000E+27
117 3.392216671310440000E+28
118 2.289261704174270000E+29
119 1.550088062689260000E+30
120 1.053032946566990000E+31
121 7.176759750442620000E+31
122 4.906733967566100000E+32
123 3.365205875298050000E+33
124 2.315067764767460000E+34
125 1.597449644237870000E+35
126 1.105556700867540000E+36
127 7.673698261416610000E+36
128 5.341684482097810000E+37
129 3.728910821625150000E+38
130 2.610338959087330000E+39
131 1.832332520746560000E+40
132 1.289691722987190000E+41
133 9.101730080774340000E+41
134 6.440224233763250000E+42
135 4.568777357670580000E+43
136 3.249408570760560000E+44
137 2.316848781342970000E+45
138 1.656014644251870000E+46
139 1.186555886997930000E+47
140 8.522255020288560000E+47
141 6.135475747834910000E+48

白新岭 · 发表于 2019-8-2 16:23

本帖最后由白新岭于 2019-8-2 08:26 编辑

素数式47 素数式47 素数式47 素数式47 素数式47 素数式47 素数式47 素数式47 素数式47 素数式47
0 0 0 0 0 0 0 0 0 0
4 4 4 4 4 4 4 4 4 4
2 2 2 2 2 2 2 2 2 2
6 4 6 6 6 6 4 4 4 4
4 2 4 4 4 4 2 2 2 2
8 4 8 14 8 8 4 4 4 4
6 8 6 4 6 6 8 14 8 8
4 6 4 6 4 4 6 4 6 6
6 4 6 2 6 6 4 6 4 4
2 6 2 4 2 2 6 2 6 6
4 2 4 6 4 4 2 4 2 2
6 4 6 2 6 6 4 6 4 4
8 6 2 6 2 2 6 2 6 6
6 8 6 6 6 6 2 6 2 2
4 6 10 4 6 6 6 6 6 6
2 4 2 2 4 6 10 4 6 6
4 2 4 4 2 4 2 2 4 6
6 4 6 6 4 6 4 4 2 4
2 6 2 2 6 2 6 6 4 6
6 2 6 6 2 6 2 2 6 2
4 6 4 4 6 4 6 6 2 6
2 4 2 2 4 2 4 4 6 4
16 2 16 16 18 16 2 2 4 2
2 16 2 2 2 2 16 16 18 16
16 2 16 16 18 16 2 2 2 2
2 16 2 2 4 2 16 16 18 16
4 2 4 4 6 4 2 2 4 2
6 4 6 6 2 6 4 4 6 4
2 6 2 2 6 2 6 6 2 6
6 2 6 6 4 6 2 2 6 2
4 6 4 4 2 4 6 6 4 6
6 4 2 2 4 2 4 4 2 4
6 6 4 10 6 4 2 2 4 2
6 6 6 6 6 6 4 10 6 4
2 6 6 2 2 8 6 6 6 6

6 2 2 6 6 6 6 2 2 8
4 6 6 4 4 4 2 6 6 6
2 4 4 2 2 2 6 4 4 4
6 2 2 6 6 6 4 2 2 2
4 6 6 4 4 4 2 6 6 6
6 4 4 6 6 6 6 4 4 4
8 6 14 8 8 8 4 6 6 6
4 8 4 4 4 4 14 8 8 8
2 4 2 2 2 2 4 4 4 4
4 6 4 4 4 4 6 6 6 6
2 2 2 2 2 2 2 2 2 2
4 4 4 4 4 4 4 4 4 4

白新岭 · 发表于 2019-8-2 16:40

256#上的最密47生素数式，只有第三列，第四列，第七列，第八列，这四种47生素数存在，另外6种没有通过素数29的检验，也就是说，模29的余数遍历所有余数情况，无一剩余。

白新岭 · 发表于 2019-8-2 16:45

最密47生素数的最终系数C47(L226)=1.93178679434382E+24

白新岭 · 发表于 2019-8-2 16:47

n(10的次幂）最密47生素数的数量
83 1.000000000000000000E+00
84 8.000000000000000000E+00
85 5.000000000000000000E+01
86 2.870000000000000000E+02
87 1.665000000000000000E+03
88 9.696000000000000000E+03
89 5.681500000000000000E+04
90 3.349190000000000000E+05
91 1.985966000000000000E+06
92 1.184416600000000000E+07
93 7.103677100000000000E+07
94 4.284056300000000000E+08
95 2.597581617000000000E+09
96 1.583345824200000000E+10
97 9.701232927500000000E+10
98 5.974150731070000000E+11
99 3.697246999819000000E+12
100 2.299270817437100000E+13
101 1.436708985264070000E+14
102 9.019312174395610000E+14
103 5.688058940310180000E+15
104 3.603314015712680000E+16
105 2.292714125480140000E+17
106 1.465112500081940000E+18
107 9.402207883032880000E+18
108 6.058876079109170000E+19
109 3.920343623872080000E+20
110 2.546791961798700000E+21
111 1.660995264156650000E+22
112 1.087472003776040000E+23
113 7.146815185594170000E+23
114 4.714358459185860000E+24
115 3.121187177296210000E+25
116 2.073846050617910000E+26
117 1.382820291936050000E+27
118 9.252545742705260000E+27
119 6.212085322231890000E+28
120 4.184748020654870000E+29
121 2.828346563563450000E+30
122 1.917801397408370000E+31
123 1.304545424483660000E+32
124 8.901778556898380000E+32
125 6.093044607758820000E+33
126 4.183217396412200000E+34
127 2.880607232803420000E+35
128 1.989457743173090000E+36
129 1.377978553786620000E+37
130 9.571670472487980000E+37
131 6.667322839623520000E+38
132 4.657094603896240000E+39
133 3.261821969463920000E+40
134 2.290705532271510000E+41
135 1.612964071143700000E+42
136 1.138700542794480000E+43
137 8.059482020803600000E+43
138 5.718751587700180000E+44
139 4.067952890672640000E+45
140 2.900785444385160000E+46
141 2.073504930948420000E+47
142 1.485694094991910000E+48

白新岭 · 发表于 2019-8-3 17:40

最密48生素数的最终系数C48(L236)=2.82212929477937E+24

白新岭 · 发表于 2019-8-3 18:13

n(10的次幂）最密48生素数的数量
86 2.000000000000000000E+00
87 1.200000000000000000E+01
88 7.000000000000000000E+01
89 4.070000000000000000E+02
90 2.375000000000000000E+03
91 1.393200000000000000E+04
92 8.218400000000000000E+04
93 4.875660000000000000E+05
94 2.908870000000000000E+06
95 1.745047500000000000E+07
96 1.052523570000000000E+08
97 6.381885510000000000E+08
98 3.889657102000000000E+09
99 2.382718505900000000E+10
100 1.466859968680000000E+11
101 9.074355861200000000E+11
102 5.640430009138000000E+12
103 3.522387647306000000E+13
104 2.209790356657970000E+14
105 1.392565393520980000E+15
106 8.814413816790510000E+15
107 5.603357875089050000E+16
108 3.577216039722200000E+17
109 2.293240697010270000E+18
110 1.476143231624000000E+19
111 9.540022187120780000E+19
112 6.189859805250120000E+20
113 4.031736568141800000E+21
114 2.636049559804470000E+22
115 1.729959963339720000E+23
116 1.139492108348780000E+24
117 7.532720339226260000E+24
118 4.997246733259100000E+25
119 3.326764253953100000E+26
120 2.222286586801310000E+27
121 1.489498493485250000E+28
122 1.001654194971350000E+29
123 6.757867594436830000E+29
124 4.573962663074840000E+30
125 3.105590130926280000E+31
126 2.115155504905370000E+32
127 1.444992811871640000E+33
128 9.901326444952540000E+33
129 6.804636945973370000E+34
130 4.690082482168100000E+35
131 3.241906322342180000E+36
132 2.247221421343860000E+37
133 1.562061372539150000E+38
134 1.088777059470920000E+39
135 7.609405001216710000E+39
136 5.332316634450200000E+40
137 3.746430334520610000E+41
138 2.638999294550440000E+42
139 1.863650679415650000E+43
140 1.319403007901030000E+44
141 9.364025428883480000E+44
142 6.661999938719520000E+45
143 4.751039935775700000E+46
144 3.396253969499190000E+47
145 2.433463116095510000E+48

白新岭 · 发表于 2019-8-3 18:18

素数式49 素数式49
0 0
4 2
6 4
2 2
6 4
4 8
6 6
2 4
22 2
2 4
4 6
2 6
4 2
6 6
2 4
6 8
4 4
2 6
4 8
6 6
6 6
2 4
6 8
6 6
6 4
4 6
6 6
8 6
4 2
6 6
6 6
8 4
6 2
4 4
8 6
4 2
6 6
2 4
6 2
6 4
4 2
2 22
4 2
6 6
8 4
4 6
2 2
4 6
2 4

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[原创]k生素数群的数量公式

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