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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7 September 2016

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current08:42, 7 September 2016Thumbnail for version as of 08:42, 7 September 20161,630 × 794 (84 KB)KleuskeUser created page with UploadWizard

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