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A059309
Primes p such that x^20 = 2 has no solution mod p.
2
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
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
Sequence in context: A245048 A338018 A059352 * A049233 A045402 A059634
KEYWORD
nonn,easy
AUTHOR
Klaus Brockhaus, Jan 25 2001
STATUS
approved