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Re: CC16, SP16

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  • Dirk Augustin
    ... 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
    Message 1 of 21 , Jun 13, 2008
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      --- 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
    • 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 2 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 3 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 4 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 5 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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