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.

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

Offset

0,1

Comments

a(20) does not exist, so the sequence terminates. A134204 is a similar sequence for which the termination question is unresolved.

Links

Table of n, a(n) for n=0..19.

Example

After a(3)=13, to find a(4) we look for a prime q such that the fourth prime, 7, divides 13+q, and q=29 works, since 7 divides 13+29 = 42.
After a(19)=71 we look for a prime q such that p(20)=71 divides 71+q. The only candidate is q=71. Since it is already in the sequence, the sequence terminates.

Crossrefs

Cf. A134204, A224221.

Sequence in context: A024946 A257762 A374761 * A224221 A128547 A087383

Adjacent sequences: A224219 A224220 A224221 * A224223 A224224 A224225

Keyword

nonn,fini,full

Author

Daniel Drucker and N. J. A. Sloane, Apr 05 2013

Status

approved