%N Primes which are obtained at least by two ways using the iterations of the Bertrand operator (see A164917) beginning with primes of A164368.
%C The sequence is connected with our sieve selecting the primes of A164368 from all primes.
%H V. Shevelev, <a href="https://arxiv.org/abs/0908.2319">On critical small intervals containing primes</a>, arXiv:0908.2319 [math.NT], 2009.
%e 113 is in the sequence since it is obtained either by iterations of Bertrand operator beginning from 17 (17=>31=>61=>113) or by such iterations beginning with 59 (59=>113), and both of primes 17 and 59 are in A164368.
%Y Cf. A006992, A164917, A164918, A104272, A164368, A164288.
%A _Vladimir Shevelev_, Aug 31 2009