%I
%S 3,5,7,11,13,17,19,23,31,43,61,67,79,89,101,107,127,167,191,199,257,
%T 313,347,521,607,701,1021,1279,1709,2203,2281,2617,3217,3539,4093,
%U 4099,4253,4423,5807,8191,9689,9941
%N Odd primes of the form p = 2^k + 1 or p = 4^k + 3 or such that 2^p  1 is prime or (2^p + 1)/3 is prime or PRP.
%C Odd primes satisfying at least one of the criteria considered in the New Mersenne Prime Conjecture (cf. link).
%H Gord Palameta, <a href="/A120334/b120334.txt">Table of n, a(n) for n = 1..83</a>
%H Chris K. Caldwell, <a href="http://primes.utm.edu/mersenne/NewMersenneConjecture.html">New Mersenne Prime Conjecture</a>, Prime Pages.
%Y Supersequence of A000978, A122834.
%Y Almost a supersequence of A000043 (excluding only A000043(1) = 2).
%K nonn
%O 1,1
%A _Jorge Coveiro_, Sep 11 2007
