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%I #8 Sep 08 2022 08:45:03
%S 3,5,11,13,17,19,29,37,41,43,53,59,61,67,71,83,97,101,107,109,113,127,
%T 131,137,139,149,157,163,173,179,181,193,197,211,227,229,239,241,251,
%U 269,277,281,283,293,307,313,317,331,337,347,349,353,373,379,389,397
%N Primes p such that x^56 = 2 has no solution mod p.
%C Complement of A049588 relative to A000040. Coincides for the first 51 terms with sequence A059315 of primes p such that x^28 = 2 has no solution mod p (first divergence is at 353, cf. A059635).
%H Vincenzo Librandi, <a href="/A059634/b059634.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_] := Reduce[Mod[x^56 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok ] (* _Vincenzo Librandi_, Sep 20 2012 *)
%o (Magma) [p: p in PrimesUpTo(400) | forall{x : x in ResidueClassRing(p) | x^56 ne 2}]; // _Vincenzo Librandi_, Sep 20 2012
%Y Cf. A000040, A049588, A059315, A059635.
%K nonn,easy
%O 1,1
%A _Klaus Brockhaus_, Feb 02 2001
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