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A040050
Primes p such that x^3 = 7 has no solution mod p.
2
13, 31, 37, 43, 61, 67, 79, 97, 103, 109, 127, 139, 151, 163, 193, 199, 211, 229, 241, 271, 277, 283, 307, 349, 379, 397, 409, 433, 457, 499, 523, 547, 577, 601, 613, 619, 631, 643, 691, 709, 727, 733, 739, 757
OFFSET
1,1
COMMENTS
Complement of A040049 relative to A000040. - Vincenzo Librandi, Sep 17 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^3 - 7, 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 7} ]; // Vincenzo Librandi, Sep 17 2012
CROSSREFS
Sequence in context: A023694 A038465 A103665 * A040086 A176181 A023274
KEYWORD
nonn,easy
AUTHOR
STATUS
approved