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New AP12 record

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  • mikeoakes2@aol.com
    According to Jens Andersen s page http://hjem.get2net.dk/jka/math/aprecords.htm, the remarkable collection of records he set for AP9 thru AP19 just over a year
    Message 1 of 2 , Feb 2, 2006
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      According to Jens Andersen's page
      http://hjem.get2net.dk/jka/math/aprecords.htm,
      the remarkable collection of records he set for AP9 thru AP19 just over a year ago, as detailed in his post
      http://groups.yahoo.com/group/primenumbers/message/15965
      still stand.

      His AP12 record was:-
      AP12: (8986417 + 30820926*n)*157#+1, n=0..11 (71 digits)

      Here is a modest improvement:-
      AP12: (30150295 + 3538849*n)*173#+1, n=0..11 (77 digits)
      All 12 PRPs have been proven prime with PFGW (-tc option).

      Method:-
      I PRP'ed 100 million candidates with PFGW, which generated 5,345,174 PRPs.
      I then searched for AP's with an efficient Pascal program.
      Each of these operations took less than a day at 2.08GHz.

      So, as Jens remarked in his post, this (like some other of the APn records) is quite soft.

      Come on, people!

      -Mike Oakes
    • Jens Kruse Andersen
      ... Congrats. I wondered when somebody would look at these records. They took less than a GHz month. http://hjem.get2net.dk/jka/math/aprecords.htm is updated.
      Message 2 of 2 , Feb 2, 2006
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        Mike Oakes wrote:
        > AP12: (30150295 + 3538849*n)*173#+1, n=0..11 (77 digits)

        Congrats. I wondered when somebody would look at these records.
        They took less than a GHz month.
        http://hjem.get2net.dk/jka/math/aprecords.htm is updated.

        --
        Jens Kruse Andersen
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