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A059244 Primes p such that x^19 = 2 has no solution mod p. 2

%I

%S 191,229,419,457,571,647,761,1217,1483,1559,1597,1787,1901,2053,2129,

%T 2243,2281,2357,2699,2851,2927,3041,3079,3307,3877,4219,4409,4447,

%U 4523,4561,4637,4751,4789,4903,5701,6271,6689,6803,6841,6917,7069,7297,7411

%N Primes p such that x^19 = 2 has no solution mod p.

%C Complement of A049551 relative to A000040.

%H Vincenzo Librandi, <a href="/A059244/b059244.txt">Table of n, a(n) for n = 1..1000</a>

%t ok[p_]:= Reduce[Mod[x^19 - 2, p] == 0, x, Integers] == False;Select[Prime[Range[4000]], ok] (* _Vincenzo Librandi_, Sep 20 2012 *)

%o (MAGMA) [p: p in PrimesUpTo(7500) | not exists{x : x in ResidueClassRing(p) | x^19 eq 2} ]; // _Vincenzo Librandi_, Sep 20 2012

%Y Cf. A000040, A049551.

%K easy,nonn

%O 1,1

%A _Klaus Brockhaus_, Jan 21 2001

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Last modified August 19 18:33 EDT 2019. Contains 326133 sequences. (Running on oeis4.)