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A040161 Primes p such that x^5 = 3 has a solution mod p. 2
2, 3, 5, 7, 13, 17, 19, 23, 29, 37, 41, 43, 47, 53, 59, 67, 73, 79, 83, 89, 97, 103, 107, 109, 113, 127, 137, 139, 149, 157, 163, 167, 173, 179, 193, 197, 199, 223, 227, 229, 233, 239, 257, 263, 269, 277, 283, 293, 307, 313, 317, 337, 347, 349, 353, 359, 367, 373 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
MATHEMATICA
ok [p_]:=Reduce[Mod[x^5 - 3, p]== 0, x, Integers]=!= False; Select[Prime[Range[180]], ok] (* Vincenzo Librandi, Sep 12 2012 *)
PROG
(Magma) [ p: p in PrimesUpTo(400) | exists(t){x : x in ResidueClassRing(p) | x^5 eq 3} ]; // Klaus Brockhaus, Jun 03 2009
CROSSREFS
Cf. A040162 (primes p such that x^5 = 3 has no solution mod p).
Sequence in context: A162950 A259187 A040972 * A175438 A040970 A216862
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from Klaus Brockhaus, Jun 03 2009
STATUS
approved

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Last modified April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)