

A224222


a(0)=3; for n>0, a(n) is the smallest prime q not already in the sequence such that the nth prime p(n) divides a(n1)+q. If no such prime q exists, the sequence terminates.


4



3, 5, 7, 13, 29, 37, 2, 83, 31, 61, 113, 11, 137, 109, 149, 227, 197, 157, 331, 71
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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: A024724 A024946 A257762 * 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



