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Re: [primeform] AP19

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  • Jaroslaw Wroblewski
    I was trying to get AP17 with difference 107*61#. The reason why I didn t use primorial difference is that I needed 9 primes coprime with the sequence
    Message 1 of 4 , Feb 10, 2007
      I was trying to get AP17 with difference 107*61#. The reason why I
      didn't use primorial difference is that I needed 9 primes coprime with
      the sequence difference and with product below (2^62)/15 and primes 67-103
      are the largest 9 consecutive primes with that property, so I had to
      avoid them as factors of the sequence difference.

      I was rather unlucky sitting there with 10 AP15's and nothing longer than
      that (I should have AP16 every 4-5 AP15's).

      And right now came the first sequence longer than 15 terms:

      62749659973280668140514103 + 107*61#*n, n=0..18

      I was expecting to get AP17. I was taking into acount small chance of AP18.
      But I was never thinking of AP19 of that size, so I was really surprised
      when it has appeared.

      Jarek
    • Jens Kruse Andersen
      ... Congratulations! That lucky hit is the first triple record set since the page opened in January 2005. Back then there was an existing triple record from
      Message 2 of 4 , Feb 11, 2007
        Jaroslaw Wroblewski wrote:

        > I was trying to get AP17 with difference 107*61#.
        > And right now came the first sequence longer than 15 terms:
        >
        > 62749659973280668140514103 + 107*61#*n, n=0..18

        Congratulations!
        That lucky hit is the first triple record set since the page opened in
        January 2005. Back then there was an existing triple record from 2004 to
        2006: AP21 to AP23 by Markus Frind, Paul Jobling and Paul Underwood.
        They actually searched for AP23!

        Jaroslaw now has all the largest from AP17 to AP24:
        http://hjem.get2net.dk/jka/math/aprecords.htm#records

        --
        Jens Kruse Andersen
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