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A040184
Primes p such that x^5 = 12 has a solution mod p.
2
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 37, 43, 47, 53, 59, 67, 73, 79, 83, 89, 97, 103, 107, 109, 113, 127, 137, 139, 149, 157, 163, 167, 173, 179, 193, 197, 199, 211, 223, 227, 229, 233, 239, 257, 263, 269, 271, 277
OFFSET
1,1
COMMENTS
Complement of A040969 relative to A000040. [Bruno Berselli, Sep 12 2012]
LINKS
MATHEMATICA
ok[p_] := Reduce[Mod[x^5 - 12, p] == 0, x, Integers] =!= False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 12 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(400) | exists(t){x : x in ResidueClassRing(p) | x^5 eq 12}]; // Vincenzo Librandi, Sep 12 2012
CROSSREFS
Sequence in context: A040986 A040990 A040177 * A040988 A065722 A335331
KEYWORD
nonn,easy
AUTHOR
STATUS
approved