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Re: World Record Factorial Prime

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  • kraDen
    Congratulations to Dmitry and PrimeGrid. My daughter and tested to 70000 (using Phils factored sets) until we gave up a few months ago. ... In 2001 when I
    Message 1 of 4 , Oct 7, 2010
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      Congratulations to Dmitry and PrimeGrid.
      My daughter and tested to 70000 (using Phils factored sets) until we gave up a few months ago.
      > 155th overall. and 429,390 digits long
      In 2001 when I found 21480!-1 (83727 digits) it entered at 70th.
      How times change
      cheers
      Ken

      --- In primenumbers@yahoogroups.com, Mark Rodenkirch <mgrogue@...> wrote:
      >
      > From http://www.primegrid.com/forum_thread.php?id=1336:
      >
      > A remarkable discovery was made yesterday in PrimeGrid's PRPNet.
      > Dmitry Domanov found a World Record Factorial prime.
      >
      > 94550!-1 is prime and is 429,390 digits long. It enters Chris
      > Caldwell's The Largest Known Primes Database ranked 1st for Factorial
      > primes and 155th overall.
      >
      > This is only the 24th known Factorial prime...the 14th discovery in
      > the last 29 years and the first in almost 8 years. Needless to say,
      > this is a very rare find. It more than triples the size of the
      > previous record of 34790!-1 (142891 digits).
      >
      > --Mark
      >
      > [Non-text portions of this message have been removed]
      >
    • djbroadhurst
      ... Wonderful work, by all concerned. PrimeMogul is cautious and runs an old OpenPFGW as a validator. He has marked the -tp proof of
      Message 2 of 4 , Oct 8, 2010
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        --- In primenumbers@yahoogroups.com,
        Mark Rodenkirch <mgrogue@...> wrote:

        > 94550!-1 is prime and is 429,390 digits long.

        Wonderful work, by all concerned.

        PrimeMogul is cautious and runs an old OpenPFGW
        as a validator. He has marked the -tp proof of
        http://primes.utm.edu/primes/page.php?id=95248
        as "external", i.e. tedious to do at home.
        But I expect that Chris's run will eventually
        "internalize" the proof, after a week, or so,
        rather than a PrimeGrid day.

        David
      • paulunderwooduk
        ... In deed! machine RedHat P4 P4 Command: /home/caldwell/client/TrialDiv/TrialDiv -q 1 94550 ! -1 2 &1 [Ellapsed time: 37239.758 seconds] 1+sqrt(94561)
        Message 3 of 4 , Oct 9, 2010
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          --- In primenumbers@yahoogroups.com, "djbroadhurst" <d.broadhurst@...> wrote:
          >
          >
          >
          > --- In primenumbers@yahoogroups.com,
          > Mark Rodenkirch <mgrogue@> wrote:
          >
          > > 94550!-1 is prime and is 429,390 digits long.
          >
          > Wonderful work, by all concerned.
          >
          > PrimeMogul is cautious and runs an old OpenPFGW
          > as a validator. He has marked the -tp proof of
          > http://primes.utm.edu/primes/page.php?id=95248
          > as "external", i.e. tedious to do at home.
          > But I expect that Chris's run will eventually
          > "internalize" the proof, after a week, or so,
          > rather than a PrimeGrid day.
          >

          In deed!

          machine RedHat P4 P4

          Command: /home/caldwell/client/TrialDiv/TrialDiv -q 1 94550 ! -1 2>&1
          [Ellapsed time: 37239.758 seconds]

          1+sqrt(94561)
          Running N+1 test using discriminant 94561, base 2+sqrt(94561)
          Calling Brillhart-Lehmer-Selfridge with factored part 33.53%
          94550!-1 is prime! (309659.2942s+2.1227s)
          [Elapsed time: 3.58 days]

          ref: http://primes.utm.edu/primes/page.php?id=95248

          Paul
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