A040990 Primes p such that x^5 = 23 has a solution mod p.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 37, 43, 47, 53, 59, 67, 71, 73, 79, 83, 89, 97, 103, 107, 109, 113, 127, 137, 139, 149, 151, 157, 163, 167, 173, 179, 193, 197, 199, 223, 227, 229, 233, 239, 257, 263, 269, 271

Offset

1,1

Comments

Complement of A040991 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 - 23, p] == 0, x, Integers]=!=False; Select[Prime[Range[150]], ok] (* Vincenzo Librandi, Sep 13 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(400) | exists(t){x : x in ResidueClassRing(p) | x^5 eq 23}]; // Vincenzo Librandi, Sep 13 2012

Crossrefs

Cf. A000040, A040991.

Sequence in context: A036955 A040179 A040986 * A040177 A040184 A040988

Adjacent sequences: A040987 A040988 A040989 * A040991 A040992 A040993

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved