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A216777 Primes p such that x^64 = -2 has no solution mod p. 2
5, 7, 13, 17, 23, 29, 31, 37, 41, 47, 53, 61, 71, 73, 79, 89, 97, 101, 103, 109, 113, 127, 137, 149, 151, 157, 167, 173, 181, 191, 193, 197, 199, 223, 229, 233, 239, 241, 257, 263, 269, 271, 277, 293, 311, 313, 317, 337, 349, 353, 359, 367, 373, 383, 389 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A051101 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_]:=Reduce[Mod[x^64 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[220]], ok]

PROG

(MAGMA) [p: p in PrimesUpTo(700) | not exists{x : x in ResidueClassRing(p) | x^64 eq -2} ];

CROSSREFS

Cf. A000040, A051101.

Sequence in context: A087155 A216753 A045442 * A216747 A216739 A216735

Adjacent sequences:  A216774 A216775 A216776 * A216778 A216779 A216780

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Sep 16 2012

STATUS

approved

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Last modified August 4 02:24 EDT 2021. Contains 346441 sequences. (Running on oeis4.)