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Primes p such that x^67 = 2 has no solution mod p.
2

%I #9 Sep 08 2022 08:45:02

%S 269,1609,1877,2011,3083,3217,4021,4289,4423,4691,5227,5897,6299,6701,

%T 7103,7237,7639,7907,8443,9649,10453,11257,11927,12329,13267,14071,

%U 14741,15277,15679,16349,17957,18493,19163,19699,20101,20369,20771

%N Primes p such that x^67 = 2 has no solution mod p.

%C Complement of A216887 relative to A000040. - _Vincenzo Librandi_, Sep 20 2012

%H Vincenzo Librandi, <a href="/A059330/b059330.txt">Table of n, a(n) for n = 1..1000</a>

%t ok[p_] := Reduce[Mod[x^67 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[3000]], ok ] (* _Vincenzo Librandi_, Sep 20 2012 *)

%o (Magma) [p: p in PrimesUpTo(22000) | not exists{x : x in ResidueClassRing(p) | x^67 eq 2 }]; // _Vincenzo Librandi_, Sep 20 2012

%K nonn,easy

%O 1,1

%A _Klaus Brockhaus_, Jan 26 2001