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24653Re: Project to factorise F9(10)?

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  • pbtoau
    Nov 17, 2012
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      GIMPS reported a 143 digit factor of M1061 found using ECM on 04AUG2012

      --- In primenumbers@yahoogroups.com, Phil Carmody <thefatphil@...> wrote:
      >
      > --- On Fri, 11/16/12, julienbenney <jpbenney@...> wrote:
      > > Regarding the question of Fermat
      > > factorisation, one question that has interested me is the
      > > factorisation of the ninth generalised Fermat number in base
      > > ten, or 10^512+1 in more conventional notation.
      > >
      > > This number has three known prime factors in 1514497,
      > > 302078977 and 3611707318387778163302401, plus a 473-digit
      > > composite factor. Of the known factors, the 25-digit and
      > > largest factor was found twelve years ago, and I do not know
      > > how much further F9(10) has been searched since 2000.
      > >
      > > I wonder if there is any possibility that the complete
      > > factorisation of F9(10) could be done in the future and
      > > whether it would be worth more effort than it is receiving
      > > currently?
      >
      > It's always worth flinging such numbers at ECM.
      >
      > This should give you hope, assuming you have access to lots of MIPS:
      >
      > http://www.loria.fr/~zimmerma/records/top50.html
      > """
      > 1 79 2302872188505279576573535015926441913945044975483579529517513795897664211127797 11^306+1 800e6 3648110021 2012-Aug-12 S. Wagstaff
      > """
      > Shame on everyone who heard of this, and didn't report it on - wow!
      >
      > Phil
      >
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