A059264 Primes p such that x^12 = 2 has no solution mod p.

3, 5, 7, 11, 13, 17, 19, 29, 37, 41, 43, 53, 59, 61, 67, 73, 79, 83, 97, 101, 103, 107, 109, 131, 137, 139, 149, 151, 157, 163, 173, 179, 181, 193, 197, 199, 211, 227, 229, 241, 251, 269, 271, 277, 283, 293, 307, 313, 317, 331, 337, 347, 349, 367, 373, 379, 389

Offset

1,1

Comments

Complement of A049544 relative to A000040.

Coincides for the first 119 terms with sequence of primes p such that x^36 = 2 has no solution mod p (first divergence is at 919, cf. A059668).

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Mathematica

ok[p_] := Reduce[Mod[x^12 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 14 2012 *)
Select[ Prime@ Range@ PrimePi@400, !MemberQ[ PowerMod[ Range@#, 12, #], Mod[2, #]] &] (* Robert G. Wilson v, Nov 05 2016 after Bruno Berselli in A059362 *)

Crossrefs

Cf. A000040, A049544, A049568, A059668.

Sequence in context: A179679 A059362 A212376 * A216484 A179479 A038604

Adjacent sequences: A059261 A059262 A059263 * A059265 A059266 A059267

Keyword

easy,nonn

Author

Klaus Brockhaus, Jan 23 2001

Status

approved