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A153443 Aurifeuillian primes of the form 2^k+1 4

%I #4 Jul 03 2020 13:36:55

%S 3,5,11,13,17,43,241,257,331,683,2731,5419,43691,61681,65537,174763,

%T 2796203,15790321,18837001,22366891,715827883,4278255361,4562284561,

%U 77158673929,1133836730401,2932031007403,4363953127297

%N Aurifeuillian primes of the form 2^k+1

%C Take an irreducible real factor of x^k+1 and substitute x=2. If the result is a prime then it belongs in this sequence. For example for k=5 the polynomial x^5+1=(x+1)(x^4-x^3+x^2-x+1) and substituting x->2 in (x^4-x^3+x^2-x+1) we get the prime number 11. So 11 is a term. [Clarified by _N. J. A. Sloane_, Jul 03 2020]

%Y A061442.

%K nonn

%O 1,1

%A _Artur Jasinski_, Dec 26 2008

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Last modified April 23 07:11 EDT 2024. Contains 371905 sequences. (Running on oeis4.)