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20227Re: Lehmer sequence puzzle

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  • Maximilian Hasler
    May 7, 2009
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      --- In primenumbers@yahoogroups.com, "David Broadhurst" <d.broadhurst@...> wrote:
      >
      > --- In primenumbers@yahoogroups.com,
      > "Maximilian Hasler" <maximilian.hasler@> wrote:
      >
      > > [1 1 3 2 1 1 1 1 1]R=10, Q=3
      >
      > I think you are wrong, Maximilian.
      >
      > With Q = 3 and R = 10, I did not obtain 3 units from
      > (x^n+y^n)/(x+y) with
      > x = sqrt(R)/2 + sqrt(R-4*Q)/2
      > y = sqrt(R)/2 - sqrt(R-4*Q)/2
      > and integer n > 1.
      >
      > The only non-trivial case that I found was with
      > Q = 2 and R = 7
      > which I strongly presume to be Mike's discovery.
      >
      > But maybe I screwed up?

      No - I screwed up!
      Neglected the existence of nontrivial square roots (for even n...)

      Maximilian,
      strong supporter of the SSSR.
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