A040989 Primes p such that x^5 = 22 has no solution mod p.

31, 41, 61, 71, 101, 131, 151, 181, 191, 211, 251, 271, 281, 311, 331, 421, 431, 491, 521, 541, 571, 601, 631, 641, 661, 691, 701, 751, 761, 821, 941, 971, 991, 1021, 1031, 1051, 1061, 1091, 1151, 1171, 1201

Offset

1,1

Comments

Complement of A040988 relative to A000040. - Vincenzo Librandi, Sep 19 2012

Links

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

Mathematica

ok[p_]:= Reduce[Mod[x^5 - 22, p] == 0, x, Integers] == False; Select[Prime[Range[300]], ok] (* Vincenzo Librandi, Sep 19 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(1500) | not exists{x : x in ResidueClassRing(p) | x^5 eq 22} ]; // Vincenzo Librandi, Sep 19 2012

Crossrefs

Sequence in context: A087053 A159045 A099181 * A040969 A348558 A088555

Adjacent sequences: A040986 A040987 A040988 * A040990 A040991 A040992

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved