A040122 Primes p such that x^4 = 11 has a solution mod p.

2, 5, 7, 11, 19, 43, 79, 83, 89, 107, 127, 131, 139, 151, 157, 167, 211, 227, 239, 257, 263, 271, 283, 307, 313, 317, 347, 353, 359, 389, 397, 421, 431, 439, 449, 479, 491, 503, 523, 547, 563, 571, 607, 641, 659

Offset

1,1

Links

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

Mathematica

ok [p_]:=Reduce[Mod[x^4 - 11, 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 11}]; // Vincenzo Librandi, Sep 12 2012

Crossrefs

Sequence in context: A338345 A252282 A337497 * A318207 A038955 A172981

Adjacent sequences: A040119 A040120 A040121 * A040123 A040124 A040125

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved