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 A059634 Primes p such that x^56 = 2 has no solution mod p. 4
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified June 12 22:11 EDT 2021. Contains 344969 sequences. (Running on oeis4.)