|
|
A040130
|
|
Primes p such that x^4 = 15 has a solution mod p.
|
|
2
|
|
|
2, 3, 5, 7, 11, 43, 53, 59, 61, 67, 71, 103, 109, 113, 127, 131, 137, 163, 179, 181, 191, 223, 239, 241, 251, 257, 283, 307, 311, 317, 349, 359, 367, 419, 431, 463, 479, 487, 491, 523, 541, 547, 557, 593, 599, 607
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
MATHEMATICA
|
ok [p_]:=Reduce[Mod[x^4 - 15, p]== 0, x, Integers]=!= False; Select[Prime[Range[180]], ok] (* Vincenzo Librandi, Sep 12 2012 *)
|
|
PROG
|
(Magma) [p: p in PrimesUpTo(800) | exists(t){x : x in ResidueClassRing(p) | x^4 eq 15}]; // Vincenzo Librandi, Sep 12 2012
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|