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A040044
Primes p such that x^3 = 5 has a solution mod p.
3
2, 3, 5, 11, 13, 17, 23, 29, 41, 47, 53, 59, 67, 71, 83, 89, 101, 107, 113, 127, 131, 137, 149, 163, 167, 173, 179, 181, 191, 197, 199, 211, 227, 233, 239, 241, 251, 257, 263, 269, 281, 293, 311, 313, 317, 337, 347
OFFSET
1,1
COMMENTS
Complement of A040045 relative to A000040. - Vincenzo Librandi, Sep 13 2012
LINKS
MATHEMATICA
ok [p_]:=Reduce[Mod[x^3 - 5, p] == 0, x, Integers] =!= False; Select[Prime[Range[200]], ok] (* Vincenzo Librandi, Sep 11 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(450) | exists(t){x : x in ResidueClassRing(p) | x^3 eq 5}]; // Vincenzo Librandi, Sep 11 2012
CROSSREFS
Sequence in context: A095315 A221717 A140558 * A253110 A140549 A275697
KEYWORD
nonn,easy
AUTHOR
STATUS
approved