

A040145


Primes p such that x^4 = 19 has a solution mod p.


2



2, 3, 19, 31, 59, 67, 71, 79, 101, 103, 107, 127, 149, 151, 157, 167, 179, 211, 223, 227, 229, 233, 277, 307, 313, 331, 349, 379, 383, 397, 431, 439, 457, 461, 487, 523, 547, 557, 563, 577, 593, 599, 607, 613
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OFFSET

1,1


LINKS

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


MATHEMATICA

ok [p_]:=Reduce[Mod[x^4  19, 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 19}]; // Vincenzo Librandi, Sep 12 2012


CROSSREFS

Sequence in context: A196446 A265799 A058912 * A142955 A213896 A088790
Adjacent sequences: A040142 A040143 A040144 * A040146 A040147 A040148


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane.


STATUS

approved



