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A040049
Primes p such that x^3 = 7 has a solution mod p.
2
2, 3, 5, 7, 11, 17, 19, 23, 29, 41, 47, 53, 59, 71, 73, 83, 89, 101, 107, 113, 131, 137, 149, 157, 167, 173, 179, 181, 191, 197, 223, 227, 233, 239, 251, 257, 263, 269, 281, 293, 311, 313, 317, 331, 337, 347, 353
OFFSET
1,1
COMMENTS
Complement of A040050 relative to A000040. - Vincenzo Librandi, Sep 13 2012
LINKS
MATHEMATICA
ok [p_]:=Reduce[Mod[x^3 - 7, p] == 0, x, Integers] =!= False; Select[Prime[Range[180]], ok] (* Vincenzo Librandi, Sep 11 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(450) | exists(t){x : x in ResidueClassRing(p) | x^3 eq 7}]; // Vincenzo Librandi, Sep 11 2012
CROSSREFS
Sequence in context: A293194 A162566 A040085 * A092787 A181562 A095365
KEYWORD
nonn,easy
AUTHOR
STATUS
approved