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CC15 and 16-tuplet records

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  • Jens Kruse Andersen
    Torbjörn Alm has set his 14th Cunningham chain record with my sieve. CC15 of the 1st kind: 11993367147962683402920 * 2^n - 1, n = 0..14 (23 to 27 digits) I
    Message 1 of 1 , Oct 21, 2004
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      Torbjörn Alm has set his 14th Cunningham chain record with my sieve.
      CC15 of the 1st kind:
      11993367147962683402920 * 2^n - 1, n = 0..14 (23 to 27 digits)


      I have set a 16-tuplet record:
      10252256693298561414756287 +
      0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits)
      More than half the odd numbers in that interval are prime.

      It is also the largest known case of 16 simultaneous primes:
      http://hjem.get2net.dk/jka/math/simultprime.htm

      It was a lucky search with no additional 15-tuplets:
      2-3 GHz weeks runtime, around 10% of expectation.
      It ran between other projects and I doubted it would succeed.
      Apologies to Hans who ought to have gotten this job.

      The GMP library was used for prp testing.

      --
      Jens Kruse Andersen
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