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A049542 Primes p such that x^10 = 2 has a solution mod p. 4
2, 7, 17, 23, 47, 73, 79, 89, 97, 103, 113, 127, 137, 151, 167, 193, 199, 223, 233, 239, 241, 257, 263, 313, 337, 353, 359, 367, 383, 409, 431, 433, 439, 449, 457, 463, 479, 487, 503, 569, 577, 593, 599, 607, 617, 641, 647, 673, 719, 727, 743, 769, 809, 823 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Complement of A059263 relative to A000040. - Vincenzo Librandi, Sep 13 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^10- 2, p] == 0, x, Integers]=!=False; Select[Prime[Range[200]], ok] (* Vincenzo Librandi, Sep 13 2012 *)
PROG
(PARI) /* see A040098 */
(Magma) [p: p in PrimesUpTo(1100) | exists(t){x : x in ResidueClassRing(p) | x^10 eq 2}]; // Vincenzo Librandi, Sep 13 2012
CROSSREFS
Sequence in context: A049578 A162574 A215823 * A049582 A220273 A276698
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 28 11:44 EDT 2024. Contains 371241 sequences. (Running on oeis4.)