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AP4

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  • djbroadhurst
    This was the AP4 status above 7500 digits, until today: (100997770 + 3624707*n)*27751# + 1 11961 Jan 2008 Ken Davis (100668506 + 809963*n)*27751# + 1
    Message 1 of 37 , May 17, 2010
      This was the AP4 status above 7500 digits, until today:

      (100997770 + 3624707*n)*27751# + 1 11961 Jan 2008 Ken Davis
      (100668506 + 809963*n)*27751# + 1 11961 Oct 2007 Ken Davis
      (101056849 + 412064*n)*27751# + 1 11961 Sep 2007 Ken Davis
      (18271126 + 9548007*n)*2^35000 + 1 10544 Jul 2007 Jim Fougeron
      (97070894 + 104086947*n)*2^33333 + 1 10043 Aug 2007 Ken Davis
      (2024725 + 197732*n)*23159# + 1 10004 Dec 2006 Mike Oakes
      (3897833 + 19575072*n)*2^25000 - 1 7534 Dec 2004 David Broadhurst

      with n running from 0 to 3, to give an AP4.

      To these, I add this hash-free AP4:

      497132829*2^40000-222139713*2^25001-1 is prime! (51.1136s+0.0201s)
      165710943*2^40001-222139713*2^25000-1 is prime! (51.0686s+0.0070s)
      165710943*2^40000-1 is prime! (15.1395s+0.0073s)
      222139713*2^25000-1 is prime! (5.5224s+0.0150s)

      with 3 members at 12050 digits and one at 7535 digits.

      David Broadhurst, 17 May 2010
    • djbroadhurst
      ... After deep sieving I have (100 +/- sqrt(100)) percent faith in Poisson. In this case my sieve was crude, so I give myself 3 standard deviations and profess
      Message 37 of 37 , Jun 13 4:19 PM
        --- In primeform@yahoogroups.com,
        "kraDen" <kradenken@...> asked:

        > Do you have 100% faith in the theory/Poisson?

        After deep sieving I have (100 +/- sqrt(100)) percent
        faith in Poisson.

        In this case my sieve was crude, so I give myself
        3 standard deviations and profess 70% faith.

        David :-)
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