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A049565 Primes p such that x^33 = 2 has a solution mod p. 2

%I

%S 2,3,5,11,17,29,31,41,43,47,53,59,71,83,101,107,109,113,127,131,137,

%T 149,157,167,173,179,191,197,223,227,229,233,239,251,257,263,269,277,

%U 281,283,293,307,311,317,347,359,383,389,401,431,433,439,443,449,457

%N Primes p such that x^33 = 2 has a solution mod p.

%C Complement of A059335 relative to A000040. - _Vincenzo Librandi_, Sep 14 2012

%H R. J. Mathar, <a href="/A049565/b049565.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Pri#smp">Index entries for related sequences</a>

%t ok[p_]:= Reduce[Mod[x^33 - 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[100]], ok] (* _Vincenzo Librandi_, Sep 14 2012 *)

%o (MAGMA) [p: p in PrimesUpTo(500) | exists(t){x : x in ResidueClassRing(p) | x^33 eq 2}]; // _Vincenzo Librandi_, Sep 14 2012

%Y Cf. A000040, A059335.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_

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Last modified September 25 06:32 EDT 2020. Contains 337335 sequences. (Running on oeis4.)