A368640 - cp's OEIS frontend

A368640 a(0) = 2; for n > 0, a(n) is the smallest prime that differs from the next prime by 2n and is not part of a run of 3 or more consecutive primes in arithmetic progression, or -1 if no such prime exists.

n	a(n)
0	2
1	11
2	7
3	23
4	89
5	139
6	467
7	113
8	1831
9	523
10	887
11	1129
12	1669
13	2477
14	2971
15	4297
16	5591
17	1327
18	9551
19	30593
20	19333
21	16141
22	15683
23	81463
24	28229
25	31907
26	19609
27	35617
28	82073
29	44293
30	43331
31	34061
32	89689
33	162143
34	134513
35	173359
36	31397
37	404597
38	212701
39	188029
40	542603
41	265621

[2, 11, 7, 23, 89, 139, 467, 113, 1831, 523, 887, 1129, 1669, 2477, 2971, 4297, 5591, 1327, 9551, 30593, 19333, 16141, 15683, 81463, 28229, 31907, 19609, 35617, 82073, 44293, 43331, 34061, 89689, 162143, 134513, 173359, 31397, 404597, 212701, 188029, 542603, 265621]

cp's OEIS Frontend

A368640 a(0) = 2; for n > 0, a(n) is the smallest prime that differs from the next prime by 2n and is not part of a run of 3 or more consecutive primes in arithmetic progression, or -1 if no such prime exists.

Table of values

List of values