A040972 Primes p such that x^5 = 14 has a solution mod p.

2, 3, 5, 7, 13, 17, 19, 23, 29, 37, 41, 43, 47, 53, 59, 61, 67, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 137, 139, 149, 157, 163, 167, 173, 179, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 257, 263

Offset

1,1

Comments

Complement of A040973 relative to A000040. - Bruno Berselli, Sep 13 2012

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Mathematica

ok [p_ ]:=Reduce[Mod[x^5 - 14, p ]== 0, x, Integers ]=!= False; Select[Prime[Range[150]], ok] (* Vincenzo Librandi, Sep 12 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(400) | exists(t){x : x in ResidueClassRing(p) | x^5 eq 14}]; // Vincenzo Librandi, Sep 12 2012

Crossrefs

Cf. A000040, A040973.

Sequence in context: A040165 A162950 A259187 * A040161 A175438 A040970

Adjacent sequences: A040969 A040970 A040971 * A040973 A040974 A040975

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved