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A040119
Primes p such that x^4 = 10 has a solution mod p.
3
2, 3, 5, 31, 37, 41, 43, 53, 67, 71, 79, 83, 107, 151, 163, 173, 191, 199, 227, 239, 241, 271, 277, 283, 307, 311, 317, 347, 359, 397, 431, 439, 443, 467, 479, 523, 547, 563, 587, 599, 613, 631, 641, 643, 683, 719
OFFSET
1,1
LINKS
MATHEMATICA
ok [p_]:=Reduce[Mod[x^4 - 10, p]== 0, x, Integers]=!= False; Select[Prime[Range[180]], ok] (* Vincenzo Librandi, Sep 12 2012 *)
PROG
(PARI) isA040119(p)={r=0; for(m=0, p-1, if(Mod(m, p)^4==Mod(10, p), r=1)); r}
(Magma) [p: p in PrimesUpTo(800) | exists(t){x : x in ResidueClassRing(p) | x^4 eq 10}]; // Vincenzo Librandi, Sep 12 2012
CROSSREFS
Sequence in context: A083388 A090475 A060301 * A186635 A265807 A106308
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Definition corrected and PARI program added by Michael B. Porter, Oct 13 2009
STATUS
approved