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A218582 Primes which do not divide any Mersenne number M(p) = 2^p - 1 with prime p. 1

%I #6 Sep 08 2022 08:46:04

%S 2,5,11,13,17,19,29,37,41,43,53,59,61,67,71,73,79,83,97,101,103,107,

%T 109,113,131,137,139,149,151,157,163,173,179,181,191,193,197,199,211,

%U 227,229,239,241,251,257,269,271,277,281,283,293,307,311,313,317,331,337

%N Primes which do not divide any Mersenne number M(p) = 2^p - 1 with prime p.

%H Arkadiusz Wesolowski, <a href="/A218582/b218582.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Prime@Range[68], ! PrimeQ@MultiplicativeOrder[2, #] &]

%o (Magma) [p: p in PrimesInInterval(2, 337) | not IsPrime(Modorder(2, p))]

%Y Complement in primes of A122094. Subsequence of A138837.

%K nonn

%O 1,1

%A _Arkadiusz Wesolowski_, Nov 03 2012

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Last modified May 10 10:46 EDT 2024. Contains 372377 sequences. (Running on oeis4.)