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Re: CC16, SP16

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  • jaroslaw.wroblewski@gmail.com
    Thanks. Currently I am hunting for a 31 digit CC15 (2nd kind). After 40 hours of 29 computers work I have 2 CC14: CC14, 2nd kind:
    Message 1 of 21 , Jun 13, 2008
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      Thanks.

      Currently I am hunting for a 31 digit CC15 (2nd kind). After 40 hours
      of 29 computers work I have 2 CC14:

      CC14, 2nd kind: 2354904873485081880414653783011 (31 digits)
      CC14, 2nd kind: 756623498046318886601149174501 (30 digits)

      and 21 CC13 in 30-32 digits, with the top 3 being:

      CC13, 2nd kind: 71893041796676884721115682595521 (32 digits)
      CC13, 2nd kind: 71183625845277875816974563041281 (32 digits)
      CC13, 2nd kind: 61769341861507223234745310908481 (32 digits)

      Jarek

      2008/6/14, Dirk Augustin <Dirk_Augustin@...>:
      > --- In primenumbers@yahoogroups.com, "jarek372000"
      > <Jaroslaw.Wroblewski@...> wrote:
      >>
      >> I have discovered:
      >>
      >> CC16, 2nd kind: 20193491108493165642344881 (26 digits)
      >> CC15, 2nd kind: 71838292723844326926417601 (26 digits)
      >>
      >> Jarek
      >>
      >
      > Congratulations for improving the CC15 and CC16 records by another
      > digit!
      >
      > Finally I managed to update the record list in the Files section. Jens
      > Kruse Andersen will update the corresponding web page.
      >
      > Regards,
      > Dirk
      >
      >
      >
      > ------------------------------------
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    • jarek372000
      After over 9 days of 30 computers work I have discovered: CC16, 2nd kind: 2368823992523350998418445521 (28 digits) It has 30 digit 8th term:
      Message 2 of 21 , Jun 26, 2008
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        After over 9 days of 30 computers work I have discovered:

        CC16, 2nd kind: 2368823992523350998418445521 (28 digits)

        It has 30 digit 8th term:

        303209471042988927797561026561

        which is responsible for 16 Simultaneous Primes score.

        I am resending this message as the previous one seems to have been
        corrupted. My apologies if you get it twice.

        Jarek
      • Jens Kruse Andersen
        ... Congratulations on your sixth improvement of this record in a month: http://hjem.get2net.dk/jka/math/simultprime.htm#history16 -- Jens Kruse Andersen
        Message 3 of 21 , Jun 26, 2008
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          Jarek wrote:
          > CC16, 2nd kind: 2368823992523350998418445521 (28 digits)
          >
          > It has 30 digit 8th term:
          >
          > 303209471042988927797561026561
          >
          > which is responsible for 16 Simultaneous Primes score.

          Congratulations on your sixth improvement of this record in a month:
          http://hjem.get2net.dk/jka/math/simultprime.htm#history16

          --
          Jens Kruse Andersen
        • Jaroslaw Wroblewski
          I have found a new record for 15 Largest Known Simultaneous Primes: CC15 (1st kind, 41 digit first term): 27353790674175627273118204975428644651730*2^n-1,
          Message 4 of 21 , Apr 24, 2014
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            I have found a new record for 15 Largest Known Simultaneous Primes:

            CC15 (1st kind, 41 digit first term):
            27353790674175627273118204975428644651730*2^n-1, n=0..14
            (Apr 25, 2014, Jaroslaw Wroblewski)
            43 digit 8-th term 3501285206294480290959130236854866515421439

            I applied a litlle trick, namely created and used polynomial
            P(x) = 86730930*x^2,
            which has nice property of having over-average density of Cunningham Chains
            P(x)*2^n-1

            The above Cunningham Chain is obtained for
            x=17759132926784169, so it can also be written as

            86730930*17759132926784169^2 * 2^n - 1, n=0..14

            The search was very lucky (only one CC13 and the above CC15 was found)
            and short (2 hours of 60 threads).

            Jarek
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