A059315 Primes p such that x^28 = 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, 373, 379, 389, 397, 401

Offset

1,1

Comments

Coincides for the first 51 terms with sequence A059634 of primes p such that x^56 = 2 has no solution mod p (first divergence is at 353, cf. A059635 ).

Complement of A049560 relative to A000040.

Links

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

Mathematica

ok[p_] := Reduce[Mod[x^28 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok ] (* Vincenzo Librandi, Sep 20 2012  *)

Prog

(Magma) [p: p in PrimesUpTo(405) | not exists{x : x in ResidueClassRing(p) | x^28 eq 2} ]; // Vincenzo Librandi, Sep 20 2012

Crossrefs

A000040, A049560, A059634, A059635.

Sequence in context: A049233 A045402 A059634 * A045403 A059641 A014662

Adjacent sequences: A059312 A059313 A059314 * A059316 A059317 A059318

Keyword

nonn,easy

Author

Klaus Brockhaus, Jan 25 2001

Status

approved