A059262 Primes p such that x^9 = 2 has no solution mod p.

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

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