A049573 - OEIS

%I #22 Sep 08 2022 08:44:58

%S 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,89,97,

%T 101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,

%U 191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277

%N Primes p such that x^41 = 2 has a solution mod p.

%C Differs from A000040: 83 does not occur.

%H R. J. Mathar, <a href="/A049573/b049573.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^41 - 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[100]], ok] (* _Vincenzo Librandi_, Sep 14 2012 *)

%o (Magma) [p: p in PrimesUpTo(300) | exists(t){x : x in ResidueClassRing(p) | x^41 eq 2}]; // _Vincenzo Librandi_, Sep 14 2012

%Y Cf. A000040, A059236 for primes not in this sequence.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_