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%I #6 Dec 16 2018 08:41:23
%S 2,3,2,3,2,13,3,19,2,13,31,3,19,43,2,53,13,61,31,71,73,3,19,43,2,101,
%T 103,53,109,113,13,131,31
%N a(n) is the least prime from the union {2,3} and A164333, beginning with which the n-th prime p_n is obtained by some number of iterations of the S operator g(see A164960).
%C The sequence is connected with our sieve selecting the primes of the union {2,3} and A164333 from all primes. Note that a(n)=n iff p_n is in the considered union, which corresponds to 0's iterations of g.
%H V. Shevelev, <a href="https://arxiv.org/abs/0908.2319">On critical small intervals containing primes</a>, arXiv:0908.2319 [math.NT], 2009.
%Y Cf. A164333, A055496, A164960, A104272, A080359, A164918, A006992, A164917, A164368, A164288.
%K nonn,more,uned
%O 1,1
%A _Vladimir Shevelev_, Sep 02 2009