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15-tuplet record

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  • Jens Kruse Andersen
    Hans Rosenthal has found the two largest known 15-tuplets at 31 digits: 1251030012595955901312188450381 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50,
    Message 1 of 1 , Oct 15, 2003
      Hans Rosenthal has found the two largest known 15-tuplets at 31 digits:

      1251030012595955901312188450381
      + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56

      1100916249233879857334075234831
      + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56

      The first is also the largest known 14-tuplet.
      Big congratulations to Hans on this double record.

      My program sieved and used the GMP library for prp testing.
      All primes were proved with Tony Forbes' VFYPR.
      Tony also keeps the tuplet records:
      http://www.ltkz.demon.co.uk/ktuplets.htm

      This is the hardest record set with my program.
      The previous record holders had access to 432 processors:
      www.asgard.ethz.ch/day/ws0102/waldvogel.phtml
      Hans only needed one:
      An Intel P4 2.66 GHz 533 FSB with 1024 MB DDR-RAM PC2700 333M.
      The cache friendly program actually used very little ram.
      It ran 25 days starting 20 September. The first (and largest) 15-tuplet
      was found on day 16 and the second on day 20. Not a single additional
      14-tuplet was found so it was a lucky run.

      --
      Jens Kruse Andersen
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