A040998 - OEIS

A040998

Primes p such that x^6 = 5 has a solution mod p.

2, 5, 11, 29, 41, 59, 71, 89, 101, 131, 149, 179, 181, 191, 199, 211, 239, 241, 251, 269, 281, 311, 359, 379, 389, 401, 409, 419, 431, 449, 461, 479, 491, 509, 521, 569, 599, 631, 641, 659, 691, 701, 719, 739

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OFFSET

1,1

COMMENTS

Complement of A040999 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^6- 5, p] == 0, x, Integers]=!=False; Select[Prime[Range[200]], ok] (* Vincenzo Librandi, Sep 13 2012 *)

PROG

(Magma) [p: p in PrimesUpTo(1000) | exists(t){x : x in ResidueClassRing(p) | x^6 eq 5}]; // Vincenzo Librandi, Sep 13 2012

CROSSREFS

Cf. A000040, A040999.

Sequence in context: A244531 A288390 A127331 * A215939 A309857 A117719

Adjacent sequences: A040995 A040996 A040997 * A040999 A041000 A041001

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved