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A049596 Primes p such that x^9 = 2 has a solution mod p. 6
2, 3, 5, 11, 17, 23, 29, 31, 41, 43, 47, 53, 59, 71, 83, 89, 101, 107, 113, 127, 131, 137, 149, 157, 167, 173, 179, 191, 197, 223, 227, 229, 233, 239, 251, 257, 263, 269, 277, 281, 283, 293, 311, 317, 347, 353, 359, 383, 389, 397, 401, 419, 431, 439, 443, 449 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Coincides with sequence of "primes p such that x^27 = 2 has a solution mod p" for first 339 terms, then diverges.

Complement of A059262 relative to A000040. - Vincenzo Librandi, Sep 15 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^9 - 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 15 2012 *)

PROG

(MAGMA) [p: p in PrimesUpTo(500) | exists(t){x : x in ResidueClassRing(p) | x^9 eq 2}]; // Vincenzo Librandi, Sep 15 2012

CROSSREFS

Cf. A000040, A001132, A059262.

Sequence in context: A040028 A049589 A049583 * A049571 A263090 A098058

Adjacent sequences:  A049593 A049594 A049595 * A049597 A049598 A049599

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 26 19:03 EDT 2019. Contains 321511 sequences. (Running on oeis4.)