A040177 Primes p such that x^5 = 10 has a solution mod p.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 37, 43, 47, 53, 59, 67, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 137, 139, 149, 157, 163, 167, 173, 179, 193, 197, 199, 223, 227, 229, 233, 239, 251, 257, 263, 269, 277

Offset

1,1

Comments

Complement of A040178 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 - 10, 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 10}]; // Vincenzo Librandi, Sep 12 2012

Crossrefs

Cf. A000040, A040178.

Sequence in context: A040179 A040986 A040990 * A040184 A040988 A065722

Adjacent sequences: A040174 A040175 A040176 * A040178 A040179 A040180

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved