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A059640 Primes p such that x^51 = 2 has no solution mod p. 2

%I

%S 7,13,19,37,61,67,73,79,97,103,137,139,151,163,181,193,199,211,239,

%T 241,271,307,313,331,337,349,367,373,379,409,421,443,463,487,523,541,

%U 547,571,577,607,613,619,631,647,661,673,709,751,757,769,787,823,829,853

%N Primes p such that x^51 = 2 has no solution mod p.

%C Complement of A049583 relative to A000040.

%H Vincenzo Librandi, <a href="/A059640/b059640.txt">Table of n, a(n) for n = 1..1000</a>

%t ok[p_] := Reduce[Mod[x^51 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok] (* _Vincenzo Librandi_, Sep 21 2012 *)

%o (MAGMA) [p: p in PrimesUpTo(900) | not exists{x: x in ResidueClassRing(p) | x^51 eq 2}]; // _Vincenzo Librandi_, Sep 21 2012

%Y Cf. A000040, A049583.

%K nonn,easy

%O 1,1

%A _Klaus Brockhaus_, Feb 02 2001

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Last modified July 24 04:25 EDT 2021. Contains 346273 sequences. (Running on oeis4.)