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A049588 Primes p such that x^56 = 2 has a solution mod p. 3

%I #16 Sep 08 2022 08:44:58

%S 2,7,23,31,47,73,79,89,103,151,167,191,199,223,233,257,263,271,311,

%T 359,367,383,431,439,479,487,503,599,601,607,631,647,719,727,751,823,

%U 839,863,881,887,919,937,983,991,1031,1039,1063,1087,1103,1151,1217,1223

%N Primes p such that x^56 = 2 has a solution mod p.

%C Complement of A059634 relative to A000040. - _Vincenzo Librandi_, Sep 14 2012

%H R. J. Mathar, <a href="/A049588/b049588.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^56 - 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[200]], ok] (* _Vincenzo Librandi_, Sep 14 2012 *)

%o (Magma) [p: p in PrimesUpTo(1300) | exists(t){x : x in ResidueClassRing(p) | x^56 eq 2}]; // _Vincenzo Librandi_, Sep 14 2012

%Y Cf. A000040, A059634.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)