cp's OEIS Frontend

A294136 Sorted list of prime factors of numbers of the form 11^(2^m) + 2^(2^m) with m >= 0.

%I A294136 #16 Nov 03 2017 14:08:07
%S A294136 5,13,17,241,257,12289,14657,26113,52321,65537,98561,235009,697409,
%T A294136 23068673,558205057,755184641,3433910273,5557248001,17343447041,
%U A294136 65886344833,442483095553,689863229441,8142833614849,10737426890753,11598906596353,57966757675009
%N A294136 Sorted list of prime factors of numbers of the form 11^(2^m) + 2^(2^m) with m >= 0.
%C A294136 Primes p other than 3 such that the multiplicative order of 11/2 (mod p) is a power of 2.
%H A294136 Arkadiusz Wesolowski, <a href="/A294136/b294136.txt">Table of n, a(n) for n = 1..31</a>
%H A294136 Anders Björn and Hans Riesel, <a href="http://dx.doi.org/10.1090/S0025-5718-98-00891-6">Factors of generalized Fermat numbers</a>, Math. Comp. 67 (1998), no. 221, pp. 441-446.
%H A294136 Anders Björn and Hans Riesel, <a href="http://dx.doi.org/10.1090/S0025-5718-05-01816-8">Table errata to “Factors of generalized Fermat numbers”</a>, Math. Comp. 74 (2005), no. 252, p. 2099.
%H A294136 Anders Björn and Hans Riesel, <a href="http://dx.doi.org/10.1090/S0025-5718-10-02371-9">Table errata 2 to "Factors of generalized Fermat numbers"</a>, Math. Comp. 80 (2011), pp. 1865-1866.
%o A294136 (PARI) print1(5, ", "13, ", "); forprime(p=17, 57966757675009, z=znorder(Mod(11/2, p)); if(2^ispower(z)==z, print1(p, ", ")));
%Y A294136 Cf. A294132, A294133, A294134, A294135.
%K A294136 nonn
%O A294136 1,1
%A A294136 _Arkadiusz Wesolowski_, Oct 23 2017