|
%I #11 Sep 08 2022 08:45:02
%S 3,5,11,13,19,23,29,37,43,53,59,61,67,83,89,101,107,109,131,139,149,
%T 157,163,173,179,181,197,199,211,227,229,251,269,277,283,293,307,317,
%U 331,347,349,353,373,379,389,397,419,421,443,461,463,467,491,499,509
%N Primes p such that x^22 = 2 has no solution mod p.
%C Complement of A049554 relative to A000040.
%H Vincenzo Librandi, <a href="/A059311/b059311.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_] := Reduce[Mod[x^22 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* _Vincenzo Librandi_, Sep 20 2012 *)
%o (Magma) [p: p in PrimesUpTo(600) | not exists{x: x in ResidueClassRing(p) | x^22 eq 2}]; // _Vincenzo Librandi_, Sep 20 2012
%Y Cf. A000040, A049554.
%K nonn,easy
%O 1,1
%A _Klaus Brockhaus_, Jan 25 2001
|
