[原创]k生素数群的数量公式

白新岭 · 发表于 2019-8-4 18:23

最密51生素数的最终系数C51(L252)=2.42411285112715E+26

白新岭 · 发表于 2019-8-4 18:25

n(10的次幂）最密51生素数的数量
93 4.000000000000000000E+00
94 2.500000000000000000E+01
95 1.450000000000000000E+02
96 8.510000000000000000E+02
97 5.006000000000000000E+03
98 2.958100000000000000E+04
99 1.757360000000000000E+05
100 1.049514000000000000E+06
101 6.300268000000000000E+06
102 3.801271400000000000E+07
103 2.304913850000000000E+08
104 1.404411829000000000E+09
105 8.598197333000000000E+09
106 5.288759759700000000E+10
107 3.268099400230000000E+11
108 2.028589768680000000E+12
109 1.264778214499800000E+13
110 7.919911294940500000E+13
111 4.980553935168210000E+14
112 3.145233519036270000E+15
113 1.994405627737010000E+16
114 1.269777811217170000E+17
115 8.116424652913580000E+17
116 5.208282358090120000E+18
117 3.354963037686310000E+19
118 2.169281440556960000E+20
119 1.407833235351620000E+21
120 9.169942085042930000E+21
121 5.994260773992050000E+22
122 3.932172708366640000E+23
123 2.588405634513630000E+24
124 1.709662519668610000E+25
125 1.133033746983370000E+26
126 7.533666194875160000E+26
127 5.025487603080800000E+27
128 3.363071604271670000E+28
129 2.257659236063650000E+29
130 1.520280897281480000E+30
131 1.026861205042610000E+31
132 6.956677689737810000E+31
133 4.726878890153800000E+32
134 3.221144446341910000E+33
135 2.201355424718890000E+34
136 1.508675749729570000E+35
137 1.036834320224930000E+36
138 7.145174979526840000E+36
139 4.937295768879430000E+37
140 3.420749615156410000E+38
141 2.376253418055850000E+39
142 1.654959459070020000E+40
143 1.155551368233110000E+41
144 8.088778301886610000E+41
145 5.676141327257150000E+42
146 3.992870145583580000E+43
147 2.815557004487390000E+44
148 1.990106626956340000E+45
149 1.409961556822070000E+46
150 1.001252019673530000E+47
151 7.126418527123450000E+47
152 5.083676128947570000E+48

独舟星海 · 发表于 2019-8-5 11:19

52生素数
29
31
37
41
43
47
53
59
61
67
71
73
79
83
89
97
101
103
107
109
113
127
131
137
139
149
151
157
163
167
173
179
181
191
193
197
199
211
223
227
229
233
239
241
251
257
263
269
271
277
281
283
这是一组唯一可以找到最密52生素数，虽然这样的最密52生素数有无穷多组，但是想找到第二组比登天还难。

独舟星海 · 发表于 2019-8-5 11:21

素数式52 素数式52
0 0
2 2
6 4
4 6
2 2
4 6
6 6
6 6
2 10
6 2
4 6
2 4
6 2
4 4
6 12
8 12
4 2
2 4
4 2
2 10
4 2
14 6
4 6
6 4
2 6
10 6
2 2
6 10
6 2
4 6
6 4
6 14
2 4
10 2
2 4
4 2
2 4
12 8
12 6
4 4
2 6
4 2
6 4
2 6
10 2
6 6
6 6
6 4
2 2
6 4
4 6
2 2

独舟星海 · 发表于 2019-8-5 11:33

最密52生素数的最终系数C52(L254)=1.33482041611124E+27

独舟星海 · 发表于 2019-8-5 11:39

n(10的次幂）最密52生素数的数量
95 3.000000000000000000E+00
96 2.100000000000000000E+01
97 1.240000000000000000E+02
98 7.260000000000000000E+02
99 4.269000000000000000E+03
100 2.524000000000000000E+04
101 1.500070000000000000E+05
102 8.961320000000000000E+05
103 5.380602000000000000E+06
104 3.246723700000000000E+07
105 1.968673940000000000E+08
106 1.199432563000000000E+09
107 7.341962858000000000E+09
108 4.514863916800000000E+10
109 2.788920753420000000E+11
110 1.730416441178000000E+12
111 1.078333139848400000E+13
112 6.748527126248600000E+13
113 4.241168762828180000E+14
114 2.676395506761260000E+15
115 1.695788705926440000E+16
116 1.078746116107850000E+17
117 6.889107478158250000E+17
118 4.416454918982360000E+18
119 2.841995787672610000E+19
120 1.835626095706580000E+20
121 1.189951479603850000E+21
122 7.741627365915820000E+21
123 5.054377134111030000E+22
124 3.311390613967420000E+23
125 2.176888561427850000E+24
126 1.435890122785550000E+25
127 9.502595148886430000E+25
128 6.309233279710050000E+26
129 4.202446070903900000E+27
130 2.808001264679160000E+28
131 1.882092301346010000E+29
132 1.265354967017970000E+30
133 8.532798799549060000E+30
134 5.771100082732920000E+31
135 3.914663292245050000E+32
136 2.663054745992630000E+33
137 1.816758633127060000E+34
138 1.242876039183210000E+35
139 8.526174642122110000E+35
140 5.864881212759030000E+36
141 4.045069025973390000E+37
142 2.797292405596700000E+38
143 1.939451173905960000E+39
144 1.348134032073090000E+40
145 9.394746008502930000E+40
146 6.563259832669790000E+41
147 4.596443036078470000E+42
148 3.226839366529810000E+43
149 2.270762620807470000E+44
150 1.601736550729450000E+45
151 1.132456967855270000E+46
152 8.025095133264880000E+46
153 5.699849399839690000E+47
154 4.057405305803030000E+48

独舟星海 · 发表于 2019-8-5 16:20

最密53生素数
29
31
37
41
43
47
53
59
61
67
71
73
79
83
89
97
101
103
107
109
113
127
131
137
139
149
151
157
163
167
173
179
181
191
193
197
199
211
223
227
229
233
239
241
251
257
263
269
271
277
281
283
293
这是最密53生素数一组实例，不知有那位大侠可以找到下一组。

独舟星海 · 发表于 2019-8-5 16:24

最密53生素数的最终系数C53(L264)=5.30058871322320E+27

独舟星海 · 发表于 2019-8-5 16:26

n(10的次幂）最密53生素数的数量
97 2.000000000000000000E+00
98 1.200000000000000000E+01
99 7.400000000000000000E+01
100 4.370000000000000000E+02
101 2.575000000000000000E+03
102 1.523500000000000000E+04
103 9.058300000000000000E+04
104 5.413020000000000000E+05
105 3.250752000000000000E+06
106 1.961738900000000000E+07
107 1.189521250000000000E+08
108 7.246660510000000000E+08
109 4.435070405000000000E+09
110 2.726611320900000000E+10
111 1.683721626200000000E+11
112 1.044255784222000000E+12
113 6.504279128803000000E+12
114 4.068311291791500000E+13
115 2.555170124557220000E+14
116 1.611331367991680000E+15
117 1.020184842555310000E+16
118 6.484435713416640000E+16
119 4.137480300407140000E+17
120 2.649976110730910000E+18
121 1.703581040133180000E+19
122 1.099187268965280000E+20
123 7.117746692152830000E+20
124 4.625405872597840000E+21
125 3.016260175906860000E+22
126 1.973672716344190000E+23
127 1.295821528733940000E+24
128 8.536028432332110000E+24
129 5.641369675110310000E+25
130 3.740324431374300000E+26
131 2.487759935878330000E+27
132 1.659820461628040000E+28
133 1.110827584731830000E+29
134 7.456671447815590000E+29
135 5.020379347566210000E+30
136 3.390018260113870000E+31
137 2.295740227824970000E+32
138 1.559122698568840000E+33
139 1.061834243923510000E+34
140 7.251610539995420000E+34
141 4.965881293477960000E+35
142 3.409773153798500000E+36
143 2.347499244868610000E+37
144 1.620392156901700000E+38
145 1.121382343621590000E+39
146 7.780199725058500000E+39
147 5.411480376214010000E+40
148 3.773244161681490000E+41
149 2.637379819435430000E+42
150 1.847885942139280000E+43
151 1.297801901782810000E+44
152 9.136055720533050000E+44
153 6.446333341870860000E+45
154 4.558871236020790000E+46
155 3.231316935870350000E+47
156 2.295444620155240000E+48

独舟星海 · 发表于 2019-8-5 16:57

素数式54 素数式54 素数式54 素数式54 素数式54 素数式54 素数式54 素数式54 素数式54 素数式54 素数式54 素数式54 素数式54
0 0 0 0 0 0 0 0 0 0 0 0 0
2 4 4 2 4 2 2 4 4 2 2 4 4
6 6 6 6 6 6 6 10 6 6 6 10 6
8 10 16 12 16 12 12 18 16 12 12 18 16
12 16 18 14 18 14 20 24 18 14 20 24 18
18 18 28 20 28 20 26 28 28 20 26 28 28
20 24 30 24 30 24 30 30 30 24 30 30 30
26 28 34 30 34 30 32 40 34 30 32 40 34
30 30 36 32 36 32 42 54 40 32 42 54 36
32 34 40 44 40 56 56 58 48 54 56 58 40
36 40 54 54 48 60 60 60 54 56 60 60 54
42 46 58 56 54 62 62 70 58 60 62 70 58
48 48 60 60 58 66 72 72 60 62 72 72 60
50 54 64 62 60 72 74 82 64 72 74 82 64
56 60 70 66 64 74 84 84 70 74 84 84 70
62 66 76 72 76 80 86 88 76 80 86 88 76
68 70 78 74 78 84 90 94 78 84 90 90 78
72 76 84 80 84 86 96 102 84 86 92 94 84
78 84 88 84 88 90 104 108 88 90 96 108 88
86 88 96 90 96 96 110 112 96 96 110 112 96
90 94 100 96 100 102 114 114 100 102 114 114 100
96 96 106 102 106 104 116 118 106 110 116 118 106
98 100 114 104 114 110 120 124 114 116 120 124 114
102 108 118 110 118 116 126 130 118 122 126 130 118
110 114 120 116 120 122 132 132 120 126 132 132 120
116 118 126 122 126 126 134 138 126 132 134 138 126
120 126 130 126 130 132 140 142 130 140 140 142 130
128 130 138 132 138 140 144 150 138 144 144 150 138
132 136 144 140 144 144 152 154 144 150 152 154 144
138 138 148 144 148 150 156 160 148 152 156 160 148
140 144 154 150 154 152 162 168 154 156 162 168 154
146 150 160 152 160 156 170 172 160 164 170 172 160
152 154 166 156 166 164 174 174 166 170 174 174 166
156 156 168 164 168 170 176 180 168 174 176 180 168
158 160 174 170 174 174 182 184 174 182 182 184 174
162 178 180 174 180 182 186 192 180 186 186 192 180
180 180 186 182 186 186 194 198 184 192 194 198 184
182 184 190 186 190 192 200 202 186 194 200 202 186
186 186 196 192 196 194 204 208 190 200 204 208 190
188 196 198 194 198 200 210 214 196 206 210 214 196
198 198 204 206 204 210 216 220 198 210 216 220 198
200 208 208 210 208 212 222 222 204 212 222 222 204
210 210 210 212 210 216 224 228 208 216 224 228 208
212 214 214 216 214 222 230 234 210 222 230 234 210
216 216 216 230 216 230 236 238 214 230 236 238 214
218 228 226 234 238 234 240 240 216 234 240 240 216
230 238 240 236 240 236 242 244 238 236 242 244 240
240 240 246 240 246 240 246 250 240 240 246 250 246
242 244 250 242 250 242 252 252 246 242 252 252 250
246 250 256 252 256 252 254 258 250 252 254 258 256
252 258 258 254 258 254 260 262 256 254 260 262 258
260 264 264 264 264 264 264 264 258 264 264 264 264
266 268 268 266 268 266 266 268 268 266 266 268 268
270 270 270 270 270 270 270 270 270 270 270 270 270

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[原创]k生素数群的数量公式

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