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A059265 Primes p such that x^14 = 2 has no solution mod p. 2
3, 5, 11, 13, 19, 29, 37, 43, 53, 59, 61, 67, 71, 83, 101, 107, 109, 113, 127, 131, 139, 149, 157, 163, 173, 179, 181, 197, 211, 227, 229, 239, 251, 269, 277, 281, 283, 293, 307, 317, 331, 337, 347, 349, 373, 379, 389, 397, 419, 421, 443, 449, 461, 463, 467 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A049546 relative to A000040.

LINKS

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

MATHEMATICA

Select[ Prime@Range[2, 93], FreeQ[ Mod[x^14 /. x -> Range[ # ], # ], 2] &] (* Robert G. Wilson v, Dec 15 2005 *)

ok[p_] := Reduce[Mod[x^14 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 20 2012 *)

PROG

(MAGMA) [p: p in PrimesUpTo(500) | not exists{x: x in ResidueClassRing(p) | x^14 eq 2} ]; // Vincenzo Librandi, Sep 20 2012

CROSSREFS

Sequence in context: A066652 A165354 A059638 * A059314 A059336 A059350

Adjacent sequences:  A059262 A059263 A059264 * A059266 A059267 A059268

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Jan 23 2001

STATUS

approved

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Last modified February 22 11:06 EST 2020. Contains 332135 sequences. (Running on oeis4.)