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Prime gap of 52478 certified

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  • Jose Luis Gomez Pardo
    The numbers 2^8191+19506585 and 2^8191+19559063 are now certified prime and hence the gap of lenght 52478 that they define seems to be the largest known prime
    Message 1 of 1 , Sep 13, 2001
      The numbers 2^8191+19506585 and 2^8191+19559063 are
      now certified prime and hence the gap of lenght 52478
      that they define seems to be the largest known prime
      gap (with "proven" endpoints). Both primes were
      certified using Primo, the bottom one by Nathan
      Russell and the top one by Greg Childers; I have the
      primality certificates available to all interested
      people.

      Thanks to all the involved people: Greg, Nathan, David
      (who helped to coordinate the effort) and, of course,
      Marcel and Primo :-)

      Jose Luis.

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