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A059349 Primes p such that x^32 = 2 has no solution mod p. 2
3, 5, 11, 13, 17, 19, 29, 37, 41, 43, 53, 59, 61, 67, 83, 97, 101, 107, 109, 113, 131, 137, 139, 149, 157, 163, 173, 179, 181, 193, 197, 211, 227, 229, 241, 251, 257, 269, 277, 281, 283, 293, 307, 313, 317, 331, 347, 349, 353, 373, 379, 389, 397, 401, 409, 419 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A049564 relative to A000040.

Differs from A014662 first at p=6529, then at p=21569. [From R. J. Mathar, Oct 05 2008]

LINKS

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

MATHEMATICA

ok[p_] := Reduce[Mod[x^32 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok ] (* Vincenzo Librandi, Sep 20 2012  *)

PROG

(MAGMA) [p: p in PrimesUpTo(450) | not exists{x : x in ResidueClassRing(p) | x^32 eq 2 }]; // Vincenzo Librandi, Sep 20 2012

CROSSREFS

A000040, A049564.

Sequence in context: A045403 A059641 A014662 * A045316 A040100 A076757

Adjacent sequences:  A059346 A059347 A059348 * A059350 A059351 A059352

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Jan 27 2001

STATUS

approved

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Last modified December 12 07:31 EST 2019. Contains 329948 sequences. (Running on oeis4.)