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A059262 Primes p such that x^9 = 2 has no solution mod p. 4
7, 13, 19, 37, 61, 67, 73, 79, 97, 103, 109, 139, 151, 163, 181, 193, 199, 211, 241, 271, 307, 313, 331, 337, 349, 367, 373, 379, 409, 421, 433, 463, 487, 523, 541, 547, 571, 577, 607, 613, 619, 631, 661, 673, 709, 739, 751, 757, 769, 787, 811, 823, 829, 853 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A049596 relative to A000040.

Coincides for the first 207 terms with the sequence of primes p such that x^27 = 2 has no solution mod p (first divergence is at 3943, cf. A059354).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

MATHEMATICA

ok[p_] := Reduce[Mod[x^9 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[150]], ok] (* Vincenzo Librandi, Sep 20 2012  *)

PROG

(MAGMA) [p: p in PrimesUpTo(900) | not exists{x: x in ResidueClassRing(p) | x^9 eq 2}]; // Vincenzo Librandi, Sep 20 2012

CROSSREFS

Cf. A000040, A049596, A059354.

Sequence in context: A320533 A059351 A320532 * A059640 A059643 A040034

Adjacent sequences:  A059259 A059260 A059261 * A059263 A059264 A059265

KEYWORD

easy,nonn

AUTHOR

Klaus Brockhaus, Jan 23 2001

STATUS

approved

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Last modified April 14 22:47 EDT 2021. Contains 342971 sequences. (Running on oeis4.)