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A040981 Primes p such that x^5 = 18 has no solution mod p. 2
11, 31, 41, 61, 71, 101, 151, 181, 191, 211, 241, 251, 271, 281, 331, 401, 421, 461, 491, 541, 571, 641, 661, 691, 701, 751, 761, 811, 821, 881, 911, 941, 971, 1021, 1031, 1051, 1091, 1151, 1171, 1181, 1201, 1231, 1301, 1361, 1471 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A040980 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 - 18, 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 18} ]; // Vincenzo Librandi, Sep 19 2012

CROSSREFS

Sequence in context: A188384 A040172 A040160 * A181603 A040983 A040979

Adjacent sequences:  A040978 A040979 A040980 * A040982 A040983 A040984

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 27 23:26 EDT 2020. Contains 338047 sequences. (Running on oeis4.)