

A040116


Primes p such that x^4 = 9 has a solution mod p.


2



2, 3, 7, 11, 13, 19, 23, 31, 37, 43, 47, 59, 61, 67, 71, 73, 79, 83, 97, 103, 107, 109, 127, 131, 139, 151, 157, 163, 167, 179, 181, 191, 193, 199, 211, 223, 227, 229, 239, 241, 251, 263, 271, 277, 283, 307, 311
(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  9, p]== 0, x, Integers]=!= False; Select[Prime[Range[170]], ok] (* Vincenzo Librandi, Sep 12 2012 *)


PROG

(MAGMA) [p: p in PrimesUpTo(400)  exists(t){x : x in ResidueClassRing(p)  x^4 eq 9}]; // Vincenzo Librandi, Sep 12 2012


CROSSREFS

Sequence in context: A171595 A106483 A145673 * A155153 A014580 A197227
Adjacent sequences: A040113 A040114 A040115 * A040117 A040118 A040119


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane.


STATUS

approved



