A040969 Primes p such that x^5 = 12 has no solution mod p.

31, 41, 61, 71, 101, 131, 151, 181, 191, 241, 251, 281, 311, 331, 401, 421, 461, 491, 521, 541, 571, 601, 631, 641, 661, 691, 701, 751, 761, 821, 881, 911, 971, 991, 1021, 1031, 1051, 1061, 1091, 1151, 1171

Offset

1,1

Comments

Complement of A040184 relative to A000040. - Vincenzo Librandi, Sep 18 2012

Links

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

Mathematica

ok[p_]:= Reduce[Mod[x^5 - 12, p] == 0, x, Integers] == False; Select[Prime[Range[300]], ok] (* Vincenzo Librandi, Sep 18 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(1500) | not exists{x : x in ResidueClassRing(p) | x^5 eq 12} ]; // Vincenzo Librandi, Sep 18 2012

Crossrefs

Cf. A000040, A040184.

Sequence in context: A159045 A099181 A040989 * A348558 A088555 A040178

Adjacent sequences: A040966 A040967 A040968 * A040970 A040971 A040972

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved