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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