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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
OFFSET
1,1
LINKS
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: A341599 A265799 A058912 * A142955 A213896 A088790
KEYWORD
nonn,easy
AUTHOR
STATUS
approved