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A216774 Primes p such that x^58 = -2 has no solution mod p. 2
5, 7, 13, 23, 29, 31, 37, 47, 53, 59, 61, 71, 79, 101, 103, 109, 127, 149, 151, 157, 167, 173, 181, 191, 197, 199, 223, 229, 233, 239, 263, 269, 271, 277, 293, 311, 317, 349, 359, 367, 373, 383, 389, 397, 421, 431, 439, 461, 463, 479, 487, 503, 509, 523 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A051098 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_] := Reduce[Mod[x^58 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[220]], ok]

PROG

(MAGMA) [p: p in PrimesUpTo(600) | not exists{x: x in ResidueClassRing(p) | x^58 eq -2}];

CROSSREFS

Cf. A000040, A051098.

Sequence in context: A167798 A165815 A216738 * A216742 A216744 A216748

Adjacent sequences:  A216771 A216772 A216773 * A216775 A216776 A216777

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Sep 16 2012

STATUS

approved

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Last modified May 22 16:57 EDT 2022. Contains 353957 sequences. (Running on oeis4.)