A059646 - OEIS

%I #8 Sep 08 2022 08:45:03

%S 3,5,11,13,19,29,37,43,53,59,61,67,83,101,107,109,131,139,149,157,163,

%T 173,179,181,197,211,227,229,251,269,277,283,293,307,311,317,331,347,

%U 349,373,379,389,397,419,421,443,461,467,491,499,509,523,541,547,557

%N Primes p such that x^62 = 2 has no solution mod p.

%C Complement of A049594 relative to A000040.

%H Vincenzo Librandi, <a href="/A059646/b059646.txt">Table of n, a(n) for n = 1..1000</a>

%t ok[p_] := Reduce[Mod[x^62 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[150]], ok] (* _Vincenzo Librandi_, Sep 21 2012 *)

%o (Magma) [p: p in PrimesUpTo(600) | not exists{x: x in ResidueClassRing(p) | x^62 eq 2}]; // _Vincenzo Librandi_, Sep 21 2012

%Y Cf. A000040, A049594.

%K nonn,easy

%O 1,1

%A _Klaus Brockhaus_, Feb 02 2001