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CPAP-8 record

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  • Jens Kruse Andersen
    Oh no, another one... I have found the largest known CPAP-8 at 112 digits: 10097274767216*250# + x + 210n, for n=0..7 where x is the 99-digit constant:
    Message 1 of 1 , Sep 5, 2003
      Oh no, another one...
      I have found the largest known CPAP-8 at 112 digits:
      10097274767216*250# + x + 210n, for n=0..7
      where x is the 99-digit constant:
      1587947096180742294099874161743869457283715235904\
      52459863667791687440944143462160821328735143564091

      The GMP library was used for prp testing and Tony Forbes' VFYPR proved the
      primes.

      The choice of x means that 1408 of the 209*7 = 1463 intermediate numbers are
      guaranteed to have a factor below 250.
      The expected time was 13 days but with amazing luck again, it only took 14
      hours!
      It was almost completely unbelievable luck: 30 seconds into a short test run,
      an AP-8 popped out with multiplier c=1000018345123. It was the first AP-4 and
      there was a single intermediate prime c*250# + x + 666. Beastly!

      The CPAP record page has been updated less than a day after the opening with
      this and 3 additional CPAP-7:
      http://hjem.get2net.dk/jka/math/cpap.htm

      --
      Jens Kruse Andersen
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