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A040068
Primes p such that x^3 = 14 has no solution mod p.
2
19, 31, 43, 61, 73, 97, 109, 127, 151, 163, 181, 199, 211, 229, 241, 271, 277, 283, 307, 313, 331, 337, 349, 367, 373, 397, 421, 433, 457, 463, 487, 499, 541, 547, 571, 601, 607, 613, 631, 643, 661, 673, 691
OFFSET
1,1
COMMENTS
Complement of A040067 relative to A000040. - Vincenzo Librandi, Sep 17 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^3 - 14, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok] (* Vincenzo Librandi, Sep 17 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(1000) | not exists{x : x in ResidueClassRing(p) | x^3 eq 14} ]; // Vincenzo Librandi, Sep 17 2012
CROSSREFS
Sequence in context: A157995 A043298 A286313 * A096787 A104006 A117065
KEYWORD
nonn,easy
AUTHOR
STATUS
approved