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A049582 Primes p such that x^50 = 2 has a solution mod p. 2
2, 7, 17, 23, 47, 73, 79, 89, 97, 103, 113, 127, 137, 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, 839 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A059639 relative to A000040. - Vincenzo Librandi, Sep 14 2012

LINKS

R. J. Mathar, Table of n, a(n) for n = 1..1000

Index entries for related sequences

MATHEMATICA

ok[p_]:= Reduce[Mod[x^50 - 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[200]], ok] (* Vincenzo Librandi, Sep 14 2012 *)

PROG

(MAGMA) [p: p in PrimesUpTo(900) | exists(t){x : x in ResidueClassRing(p) | x^50 eq 2}]; // Vincenzo Librandi, Sep 14 2012

CROSSREFS

Cf. A000040, A059639.

Sequence in context: A162574 A215823 A049542 * A220273 A276698 A260801

Adjacent sequences:  A049579 A049580 A049581 * A049583 A049584 A049585

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified September 28 11:24 EDT 2020. Contains 337393 sequences. (Running on oeis4.)