A040171 Primes p such that x^5 = 7 has a solution mod p.

2, 3, 5, 7, 13, 17, 19, 23, 29, 37, 43, 47, 53, 59, 67, 73, 79, 83, 89, 97, 103, 107, 109, 113, 127, 137, 139, 149, 157, 163, 167, 173, 179, 181, 193, 197, 199, 223, 227, 229, 233, 239, 257, 263, 269, 277, 283, 293

Offset

1,1

Comments

Complement of A040172 relative to A000040. - Vincenzo Librandi, Sep 13 2012

Links

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

Mathematica

ok [p_]:= Reduce[Mod[x^5 - 7, p] == 0, x, Integers] =!= False; Select[Prime[Range[150]], ok] (* Vincenzo Librandi, Sep 12 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(300) | exists{x: x in ResidueClassRing(p) | x^5 eq 7}]; // Vincenzo Librandi, Sep 12 2012

Crossrefs

Cf. A000040, A040172.

Sequence in context: A040982 A040980 A040159 * A040974 A049557 A042991

Adjacent sequences: A040168 A040169 A040170 * A040172 A040173 A040174

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved