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A216734 Primes p such that x^6 = -2 has no solution mod p. 2
5, 7, 13, 19, 23, 29, 31, 37, 47, 53, 61, 67, 71, 73, 79, 97, 101, 103, 109, 127, 139, 149, 151, 157, 163, 167, 173, 181, 191, 193, 197, 199, 211, 223, 229, 239, 241, 263, 269, 271, 277, 293, 311, 313, 317, 331, 337, 349, 359, 367, 373, 379, 383, 389, 397, 409 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A051072 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_] := Reduce[Mod[x^6 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok]

PROG

(MAGMA) [p: p in PrimesUpTo(500) | forall{x: x in ResidueClassRing(p) | x^6 ne -2}]; // Bruno Berselli, Sep 20 2012

CROSSREFS

Cf. A000040, A051072.

Sequence in context: A216752 A216740 A216772 * A114275 A156107 A267289

Adjacent sequences:  A216731 A216732 A216733 * A216735 A216736 A216737

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Sep 15 2012

STATUS

approved

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Last modified September 27 13:13 EDT 2020. Contains 337380 sequences. (Running on oeis4.)