

A164962


a(n) is the least prime from the union {2,3} and A164333, beginning with which the nth prime p_n is obtained by some number of iterations of the S operator g(see A164960).


1



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, 103, 53, 109, 113, 13, 131, 31
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OFFSET

1,1


COMMENTS

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.


LINKS

Table of n, a(n) for n=1..33.
V. Shevelev, On critical small intervals containing primes, arXiv:0908.2319 [math.NT], 2009.


CROSSREFS

Cf. A164333, A055496, A164960, A104272, A080359, A164918, A006992, A164917, A164368, A164288.
Sequence in context: A287748 A260233 A108656 * A251089 A119880 A075019
Adjacent sequences: A164959 A164960 A164961 * A164963 A164964 A164965


KEYWORD

nonn,more,uned


AUTHOR

Vladimir Shevelev, Sep 02 2009


STATUS

approved



