A059256 - OEIS

%I #7 Sep 08 2022 08:45:02

%S 59,233,349,523,929,1103,1277,1451,1567,1741,1973,2089,2437,2843,3307,

%T 3539,4003,4177,4409,4583,4931,5279,5569,5743,5801,6091,6323,6961,

%U 7019,7193,7309,7541,8179,8237,8353,8527,8933,9049,9281,9397,9629,9803

%N Primes p such that x^29 = 2 has no solution mod p.

%C Complement of A049561 relative to A000040.

%H Vincenzo Librandi, <a href="/A059256/b059256.txt">Table of n, a(n) for n = 1..1000</a>

%t ok[p_]:= Reduce[Mod[x^29 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[1300]], ok] (* _Vincenzo Librandi_, Sep 20 2012  *)

%o (Magma) [p: p in PrimesUpTo(10000) | not exists{x : x in ResidueClassRing(p) | x^29 eq 2} ]; // _Vincenzo Librandi_, Sep 20 2012

%Y Cf. A000040, A049561.

%K nonn,easy

%O 1,1

%A _Klaus Brockhaus_, Jan 23 2001