A059309 Primes p such that x^20 = 2 has no solution mod p.

3, 5, 11, 13, 17, 19, 29, 31, 37, 41, 43, 53, 59, 61, 67, 71, 83, 97, 101, 107, 109, 131, 137, 139, 149, 157, 163, 173, 179, 181, 191, 193, 197, 211, 227, 229, 241, 251, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 347, 349, 373, 379, 389, 397, 401

Offset

1,1

Comments

Complement of A049552 relative to A000040.

Links

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

Mathematica

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

Prog

(Magma) [p: p in PrimesUpTo(500) | not exists{x: x in ResidueClassRing(p) | x^20 eq 2}]; // Vincenzo Librandi, Sep 20 2012

Crossrefs

Cf. A000040, A049552.

Sequence in context: A245048 A338018 A059352 * A049233 A045402 A059634

Adjacent sequences: A059306 A059307 A059308 * A059310 A059311 A059312

Keyword

nonn,easy

Author

Klaus Brockhaus, Jan 25 2001

Status

approved