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A059352 Primes p such that x^40 = 2 has no solution mod p. 2
3, 5, 11, 13, 17, 19, 29, 31, 37, 41, 43, 53, 59, 61, 67, 71, 83, 97, 101, 107, 109, 113, 131, 137, 139, 149, 157, 163, 173, 179, 181, 191, 193, 197, 211, 227, 229, 241, 251, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 347, 349, 353, 373, 379, 389 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A049572 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_] := Reduce[Mod[x^40 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[80]], ok ] (* Vincenzo Librandi, Sep 20 2012 *)

PROG

(Magma) [p: p in PrimesUpTo(400) | forall{x: x in ResidueClassRing(p) | x^40 ne 2}]; // Vincenzo Librandi, Sep 20 2012

CROSSREFS

Cf. A000040, A049572.

Sequence in context: A087894 A245048 A338018 * A059309 A049233 A045402

Adjacent sequences: A059349 A059350 A059351 * A059353 A059354 A059355

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Jan 27 2001

STATUS

approved

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Last modified February 5 03:48 EST 2023. Contains 360082 sequences. (Running on oeis4.)