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A049583 Primes p such that x^51 = 2 has a solution mod p. 2
2, 3, 5, 11, 17, 23, 29, 31, 41, 43, 47, 53, 59, 71, 83, 89, 101, 107, 109, 113, 127, 131, 149, 157, 167, 173, 179, 191, 197, 223, 227, 229, 233, 251, 257, 263, 269, 277, 281, 283, 293, 311, 317, 347, 353, 359, 383, 389, 397, 401, 419, 431, 433, 439, 449, 457 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Complement of A059640 relative to A000040. - Vincenzo Librandi, Sep 14 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^51 - 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 14 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(500) | exists(t){x : x in ResidueClassRing(p) | x^51 eq 2}]; // Vincenzo Librandi, Sep 14 2012
CROSSREFS
Sequence in context: A040095 A040028 A049589 * A049596 A049571 A263090
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 18 21:02 EDT 2024. Contains 370951 sequences. (Running on oeis4.)