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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

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

Adjacent sequences:  A040116 A040117 A040118 * A040120 A040121 A040122

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Definition corrected and PARI program added by Michael B. Porter, Oct 13 2009

STATUS

approved

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Last modified October 19 03:10 EDT 2021. Contains 348073 sequences. (Running on oeis4.)