A040180 Primes p such that x^5 = 11 has no solution mod p.

31, 41, 71, 101, 131, 151, 181, 211, 251, 271, 281, 331, 401, 421, 431, 461, 491, 521, 571, 601, 631, 641, 701, 761, 811, 821, 881, 941, 971, 991, 1021, 1031, 1051, 1061, 1091, 1151, 1171, 1201, 1321, 1361

Offset

1,1

Comments

Complement of A040179 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 - 11, 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 11} ]; // Vincenzo Librandi, Sep 18 2012

Crossrefs

Cf. A000040, A040179.

Sequence in context: A176371 A284531 A040987 * A158754 A140458 A364149

Adjacent sequences: A040177 A040178 A040179 * A040181 A040182 A040183

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved