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13-tuplet record

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  • Jens Kruse Andersen
    ... Finally, at 4 times the expectation, I have found the largest known prime 13-tuplet: 5953176232124*50# + 9564671 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36,
    Message 1 of 1 , Jul 24 7:17 PM
      12 days ago I wrote:
      > The search for a record 13-tuplet is running with 4 days expected.

      Finally, at 4 times the expectation, I have found the largest known prime
      13-tuplet:

      5953176232124*50# + 9564671 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48

      It has 31 digits like the old record. After optimizing my program and reducing
      the target from 32 to 31 digits due to impatience, the expected time was 60
      hours but I still had bad luck. A new record tuplet search is running but I'm
      not publishing expectations this time.

      The tuplet was found with my own sieve and the GMP library for prp testing.
      All primes were proved with Tony Forbes' VFYPR.

      --
      Jens Kruse Andersen
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