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A216735
Primes p such that x^8 = -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, 263, 269, 271, 277, 293, 311, 313, 317, 349, 353, 359, 367, 373, 383, 389, 397, 401, 409, 421, 431
OFFSET
1,1
COMMENTS
Complement of A051073 relative to A000040.
LINKS
MATHEMATICA
ok[p_] := Reduce[Mod[x^8 + 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^8 ne -2}]; // Bruno Berselli, Sep 20 2012
(PARI) select(x->!ispower(Mod(-2, x), 8), primes(100)) \\ Michel Marcus, Mar 19 2023
CROSSREFS
Sequence in context: A216777 A216747 A216739 * A216771 A216690 A095283
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Sep 15 2012
STATUS
approved