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World Record Factorial Prime

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  • Mark Rodenkirch
    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
    Message 1 of 4 , Oct 5, 2010
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      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]
    • 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 2 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 3 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 4 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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