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6th AP24

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  • jarek372000
    ... Thank you for prompt updating. Well maintained website with results gives additional motivation for our work. ... Indeed, we have given up searching for
    Message 1 of 32 , Apr 21, 2008
      --- In primeform@yahoogroups.com, "Jens Kruse Andersen" <jens.k.a@...>
      wrote:
      > http://hjem.get2net.dk/jka/math/aprecords.htm is updated.

      Thank you for prompt updating. Well maintained website with results
      gives additional motivation for our work.

      > After five AP24 at that size, it seems time for a AP25. Good luck!

      Indeed, we have given up searching for record AP23 and AP24 in order
      to increase a chance of AP25, by moving to smaller numbers.

      Ranaan's computers found 6th AP24 and 2 new (I believe) AP23:

      401516288036293 + 608239*23#*n, for n=0 to 23
      778721949031547 + 100947*23#*n, for n=0 to 22
      1808963782961459 + 424933*23#*n, for n=0 to 22

      The AP24 happens to improve the smallest known start AP24.

      Jarek
    • Sean A. Irvine
      Very nice.
      Message 32 of 32 , May 18, 2008
        Very nice.

        jarek372000 wrote:
        > Here is the first known AP25:
        >
        > 6171054912832631 + 366384*23#*n, for n=0 to 24
        > (Raanan Chermoni & Jaroslaw Wroblewski, May 17 2008)
        >
        > Jarek
        >
        >
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