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A058999
Primes p such that x^17 = 2 has no solution mod p.
2
103, 137, 239, 307, 409, 443, 613, 647, 919, 953, 1021, 1123, 1259, 1327, 1361, 1531, 1667, 1871, 1973, 2143, 2347, 2381, 2551, 2789, 2857, 3061, 3163, 3299, 3469, 3571, 3673, 3877, 3911, 4013, 4217, 4421, 4591, 4931, 4999, 5101, 5237, 5407, 5441, 5849
OFFSET
1,1
COMMENTS
Complement of A049549 relative to A000040.
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^17 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[1000]], ok] (* Vincenzo Librandi, Sep 19 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(6000) | not exists{x : x in ResidueClassRing(p) | x^17 eq 2} ]; // Vincenzo Librandi, Sep 19 2012
CROSSREFS
Sequence in context: A023080 A219785 A129484 * A046077 A127027 A033256
KEYWORD
easy,nonn
AUTHOR
Klaus Brockhaus, Jan 17 2001
STATUS
approved