A059256 Primes p such that x^29 = 2 has no solution mod p.

59, 233, 349, 523, 929, 1103, 1277, 1451, 1567, 1741, 1973, 2089, 2437, 2843, 3307, 3539, 4003, 4177, 4409, 4583, 4931, 5279, 5569, 5743, 5801, 6091, 6323, 6961, 7019, 7193, 7309, 7541, 8179, 8237, 8353, 8527, 8933, 9049, 9281, 9397, 9629, 9803

Offset

1,1

Comments

Complement of A049561 relative to A000040.

Links

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

Mathematica

ok[p_]:= Reduce[Mod[x^29 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[1300]], ok] (* Vincenzo Librandi, Sep 20 2012  *)

Prog

(Magma) [p: p in PrimesUpTo(10000) | not exists{x : x in ResidueClassRing(p) | x^29 eq 2} ]; // Vincenzo Librandi, Sep 20 2012

Crossrefs

Cf. A000040, A049561.

Sequence in context: A142092 A142215 A141977 * A158666 A060331 A158670

Adjacent sequences: A059253 A059254 A059255 * A059257 A059258 A059259

Keyword

nonn,easy

Author

Klaus Brockhaus, Jan 23 2001

Status

approved