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A040154
Primes p such that x^4 = 23 has a solution mod p.
3
2, 7, 11, 19, 23, 29, 41, 43, 67, 79, 83, 103, 107, 173, 191, 197, 199, 227, 233, 251, 257, 263, 269, 277, 283, 317, 349, 359, 367, 379, 383, 419, 431, 449, 461, 467, 479, 503, 509, 523, 541, 563, 571, 593, 619
OFFSET
1,1
LINKS
MATHEMATICA
ok [p_]:=Reduce[Mod[x^4 - 23, 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 23}]; // Vincenzo Librandi, Sep 12 2012
CROSSREFS
Cf. A040158.
Sequence in context: A103776 A260889 A289994 * A166862 A105881 A060191
KEYWORD
nonn,easy
AUTHOR
STATUS
approved