A049546 - OEIS

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

%S 2,7,17,23,31,41,47,73,79,89,97,103,137,151,167,191,193,199,223,233,

%T 241,257,263,271,311,313,353,359,367,383,401,409,431,433,439,457,479,

%U 487,503,521,569,577,593,599,601,607,631,641,647,673,719,727,751,761

%N Primes p such that x^14 = 2 has a solution mod p.

%C Complement of A059265 relative to A000040. - _Vincenzo Librandi_, Sep 13 2012

%H R. J. Mathar, <a href="/A049546/b049546.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^14- 2, p] == 0, x, Integers]=!=False; Select[Prime[Range[200]], ok] (* _Vincenzo Librandi_, Sep 13 2012 *)

%o (Magma) [p: p in PrimesUpTo(800) | exists(t){x : x in ResidueClassRing(p) | x^14 eq 2}]; // _Vincenzo Librandi_, Sep 13 2012

%Y Cf. A000040, A059265.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_