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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.
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%I #23 Apr 03 2023 10:36:11

%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="https://t5k.org/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