A059634 Primes p such that x^56 = 2 has no solution mod p.

3, 5, 11, 13, 17, 19, 29, 37, 41, 43, 53, 59, 61, 67, 71, 83, 97, 101, 107, 109, 113, 127, 131, 137, 139, 149, 157, 163, 173, 179, 181, 193, 197, 211, 227, 229, 239, 241, 251, 269, 277, 281, 283, 293, 307, 313, 317, 331, 337, 347, 349, 353, 373, 379, 389, 397

Offset

1,1

Comments

Complement of A049588 relative to A000040. Coincides for the first 51 terms with sequence A059315 of primes p such that x^28 = 2 has no solution mod p (first divergence is at 353, cf. A059635).

Links

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

Mathematica

ok[p_] := Reduce[Mod[x^56 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok ] (* Vincenzo Librandi, Sep 20 2012  *)

Prog

(Magma) [p: p in PrimesUpTo(400) | forall{x : x in ResidueClassRing(p) | x^56 ne 2}]; // Vincenzo Librandi, Sep 20 2012

Crossrefs

Cf. A000040, A049588, A059315, A059635.

Sequence in context: A059309 A049233 A045402 * A059315 A045403 A059641

Adjacent sequences: A059631 A059632 A059633 * A059635 A059636 A059637

Keyword

nonn,easy

Author

Klaus Brockhaus, Feb 02 2001

Status

approved