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A216770 Primes p such that x^50 = -2 has no solution mod p. 2
5, 7, 11, 13, 23, 29, 31, 37, 41, 47, 53, 61, 71, 79, 101, 103, 109, 127, 131, 149, 151, 157, 167, 173, 181, 191, 197, 199, 211, 223, 229, 239, 251, 263, 269, 271, 277, 281, 293, 311, 317, 331, 349, 359, 367, 373, 383, 389, 397, 401, 421, 431, 439, 461, 463, 479 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A051094 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_] := Reduce[Mod[x^50 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok]

PROG

(MAGMA) [p: p in PrimesUpTo(600) | not exists{x : x in ResidueClassRing(p) | x^50 eq -2}];

CROSSREFS

Cf. A000040, A051094.

Sequence in context: A314298 A314299 A349459 * A216736 A050541 A098865

Adjacent sequences:  A216767 A216768 A216769 * A216771 A216772 A216773

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Sep 16 2012

STATUS

approved

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Last modified January 21 03:58 EST 2022. Contains 350473 sequences. (Running on oeis4.)