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A059665 Primes p such that x^54 = 2 has no solution mod p, but x^6 = 2 has a solution mod p. 3
433, 919, 1423, 1999, 2017, 2143, 2287, 2791, 2953, 3457, 3889, 3943, 4177, 4519, 4663, 5113, 5167, 6679, 6967, 8713, 9631, 9649, 9721, 10009, 11287, 11863, 12241, 12583, 12799, 13177, 13591, 15913, 16057, 16111, 16561, 16921, 17551, 18127 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..389

MATHEMATICA

Select[Prime[Range[PrimePi[20000]]], !MemberQ[PowerMod[Range[#], 54, #], Mod[2, #]] && MemberQ[PowerMod[Range[#], 6, #], Mod[2, #]] &] (* Vincenzo Librandi, Sep 21 2013 *)

PROG

(MAGMA) [p: p in PrimesUpTo(20000) | not exists{x: x in ResidueClassRing(p) | x^54 eq 2} and exists{x: x in ResidueClassRing(p) | x^6 eq 2}]; // Vincenzo Librandi, Sep 21 2012

CROSSREFS

A000040, A040992, A040993, A049550, A059666, A059664.

Sequence in context: A052235 A165503 A142539 * A059664 A289857 A198450

Adjacent sequences:  A059662 A059663 A059664 * A059666 A059667 A059668

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Feb 04 2001

STATUS

approved

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Last modified July 12 21:31 EDT 2020. Contains 335669 sequences. (Running on oeis4.)