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A059635 Primes p such that x^56 = 2 has no solution mod p, but x^28 = 2 has a solution mod p. 3
353, 577, 593, 1033, 1049, 1097, 1153, 1193, 1201, 1481, 1601, 1753, 1889, 2273, 2281, 2393, 2473, 2857, 3049, 3089, 3121, 3217, 3313, 3673, 3761, 3833, 4001, 4153, 4217, 4289, 4457, 4657, 4801, 4937, 5113, 5233, 5393, 5569, 6121, 6521, 6569, 6761 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..950

MATHEMATICA

Select[Prime[Range[PrimePi[10000]]], !MemberQ[PowerMod[Range[#], 56, #], Mod[2, #]] && MemberQ[PowerMod[Range[#], 28, #], Mod[2, #]]&] (* Vincenzo Librandi, Sep 21 2013 *)

PROG

(MAGMA) [p: p in PrimesUpTo(7000) | not exists{x: x in ResidueClassRing(p) | x^56 eq 2} and exists{x: x in ResidueClassRing(p) | x^28 eq 2}]; // Vincenzo Librandi, Sep 21 2012

CROSSREFS

A000040, A049588, A059634, A049560, A059315.

Sequence in context: A343715 A177678 A058375 * A003294 A096739 A039664

Adjacent sequences:  A059632 A059633 A059634 * A059636 A059637 A059638

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Feb 02 2001

STATUS

approved

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Last modified July 25 20:59 EDT 2021. Contains 346294 sequences. (Running on oeis4.)