File:Prime-gap-frequency-distribution.svg
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Summary
| Description |
English: Frequency distribution of prime gaps for primes from 2 to 1,600,000,000. Peaks occur at multiples of 6. The primes were obtained from a sieve of Eratosthenes and gap sizes were tallied. The largest gap found was 292. See "Hidden structure in the randomness of the prime number sequence?", S. Ares & M. Castro, 2005 |
| Date | |
| Source | Own work |
| Author | Kleuske |
Raw data
gap frequency ----------------- 1 1 2 5223983 4 5224119 6 9318242 8 4134858 10 5355528 12 6895189 14 3813419 16 2863933 18 5211135 20 2854061 22 2452032 24 3715730 26 1765454 28 1922721 30 3455576 32 1090455 34 1147173 36 1873967 38 881633 40 1043663 42 1544378 44 633072 46 545723 48 943430 50 537134 52 403857 54 676745 56 350290 58 301840 60 620096 62 193883 64 199069 66 364996 68 149331 70 213062 72 216004 74 107131 76 94823 78 180586 80 92660 82 65621 84 135843 86 48595 88 50595 90 101862 92 34273 94 31066 96 54799 98 28845 100 30129 102 40055 104 18451 106 15940 108 27643 110 16495 112 13010 114 19940 116 8475 118 8206 120 17690 122 5492 124 5675 126 10779 128 3860 130 5287 132 6684 134 2871 136 2500 138 4865 140 2882 142 1793 144 3027 146 1310 148 1447 150 2959 152 924 154 1138 156 1556 158 626 160 725 162 1026 164 477 166 380 168 914 170 440 172 309 174 543 176 240 178 206 180 435 182 164 184 178 186 236 188 88 190 135 192 150 194 83 196 78 198 158 200 65 202 53 204 91 206 36 208 45 210 96 212 24 214 28 216 31 218 16 220 21 222 23 224 12 226 13 228 17 230 12 232 3 234 22 236 7 238 5 240 9 242 7 244 5 246 6 248 5 250 6 252 4 254 2 256 0 258 1 260 3 262 0 264 0 266 1 268 1 270 2 272 0 274 1 276 1 278 0 280 0 282 2 284 0 286 0 288 1 290 0 292 1 294 0 296 0 298 0 300 0
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:42, 7 September 2016 | | 1,630 × 794 (84 KB) | Kleuske | User created page with UploadWizard |
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