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A059353 Primes p such that x^42 = 2 has no solution mod p. 2
3, 5, 7, 11, 13, 19, 29, 37, 43, 53, 59, 61, 67, 71, 73, 79, 83, 97, 101, 103, 107, 109, 113, 127, 131, 139, 149, 151, 157, 163, 173, 179, 181, 193, 197, 199, 211, 227, 229, 239, 241, 251, 269, 271, 277, 281, 283, 293, 307, 313, 317, 331, 337, 347, 349, 367 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A049574 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_] := Reduce[Mod[x^42 - 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^42 ne 2}]; // Vincenzo Librandi, Sep 20 2012

CROSSREFS

Cf. A000040, A049574.

Sequence in context: A072667 A092729 A290817 * A212375 A040993 A078425

Adjacent sequences:  A059350 A059351 A059352 * A059354 A059355 A059356

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Jan 27 2001

STATUS

approved

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Last modified January 28 10:02 EST 2020. Contains 331319 sequences. (Running on oeis4.)