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a(0)=3; for n>0, a(n) is the smallest odd prime p such that the n-th prime p_n divides a(n-1)+p.
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%I #8 Dec 12 2015 12:32:09

%S 3,3,3,7,7,37,41,61,53,131,43,19,277,379,137,239,79,157,331,71,71,367,

%T 107,59,653,317,491,127,2441,829,1657,883,1213,157,677,1409,101,1783,

%U 173,829,3323,257,467,1061,97,691,503,1607,1069,293,1997

%N a(0)=3; for n>0, a(n) is the smallest odd prime p such that the n-th prime p_n divides a(n-1)+p.

%C a(0) could be any odd prime - the rest of the sequence is unchanged.

%Y Cf. A227827, A227828.

%K nonn

%O 0,1

%A _Daniel Drucker_, Jul 21 2013