A224222 - cp's OEIS frontend

A224222 a(0)=3; for n>0, a(n) is the smallest prime q not already in the sequence such that the n-th prime p(n) divides a(n-1)+q. If no such prime q exists, the sequence terminates.

n	a(n)
0	3
1	5
2	7
3	13
4	29
5	37
6	2
7	83
8	31
9	61
10	113
11	11
12	137
13	109
14	149
15	227
16	197
17	157
18	331
19	71

[3, 5, 7, 13, 29, 37, 2, 83, 31, 61, 113, 11, 137, 109, 149, 227, 197, 157, 331, 71]