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A216775 Primes p such that x^60 = -2 has no solution mod p. 2
5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 61, 67, 71, 73, 79, 97, 101, 103, 109, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 181, 191, 193, 197, 199, 211, 223, 229, 239, 241, 263, 269, 271, 277, 281, 293, 311, 313, 317, 331, 337, 349, 359, 367 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A051099 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_] := Reduce[Mod[x^60 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok]

PROG

(MAGMA) [p: p in PrimesUpTo(500) | not exists{x: x in ResidueClassRing(p) | x^60 eq -2}];

CROSSREFS

Cf. A000040, A051099.

Sequence in context: A020624 A020621 A020630 * A020586 A172039 A020602

Adjacent sequences:  A216772 A216773 A216774 * A216776 A216777 A216778

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Sep 16 2012

STATUS

approved

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Last modified June 20 10:07 EDT 2021. Contains 345162 sequences. (Running on oeis4.)