A040060 Primes p such that x^3 = 11 has a solution mod p.

2, 3, 5, 11, 17, 19, 23, 29, 37, 41, 43, 47, 53, 59, 61, 71, 83, 89, 101, 107, 113, 131, 137, 149, 167, 173, 179, 191, 193, 197, 199, 211, 227, 229, 233, 239, 251, 257, 263, 269, 281, 293, 311, 317, 337, 347, 349

Offset

1,1

Comments

Complement of A040061 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^3 - 11, p] == 0, x, Integers] =!= False;  Select[Prime[Range[180]], ok] (* Vincenzo Librandi, Sep 11 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(450) | exists(t){x : x in ResidueClassRing(p) | x^3 eq 11}]; // Vincenzo Librandi, Sep 11 2012
(PARI) select(n->ispower(Mod(11, n), 3), primes(500)) \\ Charles R Greathouse IV, Sep 11 2012

Crossrefs

Cf. A000040, A040061.

Sequence in context: A001882 A044042 A175179 * A220627 A040083 A045308

Adjacent sequences: A040057 A040058 A040059 * A040061 A040062 A040063

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved