A109756 - cp's OEIS frontend

A109756 If you sum 3 consecutive odd prime numbers p,q,r, you get a number s which is either prime or not: p+q+r=s. If s is prime, you call it p and repeat the game. If s is not prime, you call the largest prime factor p and repeat the game. Finally, you get into an infinite cycle, which is one of the above 3 sequences, no matter what initial prime numbers you choose.

n	a(n)
1	7
2	31
3	109
4	349
5	1061
6	103
7	29
8	97
9	43
10	13
11	11
12	41
13	131
14	37
15	17
16	59

[7, 31, 109, 349, 1061, 103, 29, 97, 43, 13, 11, 41, 131, 37, 17, 59]