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4th CC17

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  • jarek372000
    I have just discovered: CC17, 2nd kind: 1302312696655394336638441 (25 digits) CC15, 2nd kind: 5830768257311375388822241 (25 digits) I have given up searching
    Message 1 of 21 , Jun 10, 2008
      I have just discovered:

      CC17, 2nd kind: 1302312696655394336638441 (25 digits)
      CC15, 2nd kind: 5830768257311375388822241 (25 digits)

      I have given up searching for CC17 and wanted to improve the largest
      known CC16, so I have shifted my search to larger numbers this
      morning, which wouldn't be a smart thing to do if I intended to hunt
      for another CC17. After 9.5 hours of 28 computers work, the above were
      the only 2 CC's longer than 14. Given the data collected during this
      9.5 hour search I think I deserved to find 3 CC15's and a half of
      CC16. I was counting on a CC16 by tomorrow morning, but a CC17 today
      is a very nice surprise :-)

      Jarek
    • jarek372000
      I have discovered: CC16, 2nd kind: 20193491108493165642344881 (26 digits) CC15, 2nd kind: 71838292723844326926417601 (26 digits) Jarek
      Message 2 of 21 , Jun 11, 2008
        I have discovered:

        CC16, 2nd kind: 20193491108493165642344881 (26 digits)
        CC15, 2nd kind: 71838292723844326926417601 (26 digits)

        Jarek
      • 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 3 of 21 , Jun 13, 2008
          --- 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 4 of 21 , Jun 13, 2008
            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 5 of 21 , Jun 26, 2008
              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 6 of 21 , Jun 26, 2008
                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 7 of 21 , Apr 24, 2014
                  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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