login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A040152
Primes p such that x^4 = 22 has a solution mod p.
2
2, 3, 7, 11, 13, 59, 61, 67, 79, 89, 97, 109, 127, 137, 151, 163, 167, 173, 179, 239, 251, 257, 263, 271, 293, 331, 353, 359, 379, 401, 419, 431, 433, 439, 443, 467, 479, 499, 503, 521, 541, 587, 607, 613, 619
OFFSET
1,1
LINKS
MATHEMATICA
ok [p_]:=Reduce[Mod[x^4 - 22, 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 22}]; // Vincenzo Librandi, Sep 12 2012
CROSSREFS
Sequence in context: A038895 A291657 A113244 * A323353 A188529 A369692
KEYWORD
nonn,easy
AUTHOR
STATUS
approved