Loading ...
Sorry, an error occurred while loading the content.
 

Re: CC17

Expand Messages
  • Dirk Augustin
    Hi Jarek, congrats, very nice finds again! BTW, did you use any additional (public) programs for sieving/prp- /primetest beside your own programs? I need to
    Message 1 of 21 , Jun 6, 2008
      Hi Jarek,
      congrats, very nice finds again!

      BTW, did you use any additional (public) programs for sieving/prp-
      /primetest beside your own programs?

      I need to know this for the update of the CC record list where I
      normally list all used programs.

      Regards,
      Dirk


      --- In primenumbers@yahoogroups.com, Jaroslaw.Wroblewski@... wrote:
      >
      > Yestyerday I have found 2 new CC17:
      > CC17 2nd kind: 40244844789379926979141
      > CC17 2nd kind: 127806074555607670094731
      >
      > Both were verified by Jens yesterday (I am on a short vacation with
      a
      > mobile phone internet access only).
      >
      > Today I worked out a way to verify them myself and (I hope) to post
      them.
      >
      > I have also found the largest known CC15:
      > CC15 2nd kind: 2817673877915370357723841
      >
      > Jarek
      >
    • jarek372000
      Today I have discovered new largest CC16 (also new 16 Simultaneous Primes record): CC16, 2nd kind: 258296136493222766530021 (24 digits) It is a tiny
      Message 2 of 21 , Jun 8, 2008
        Today I have discovered new largest CC16 (also new 16 Simultaneous
        Primes record):

        CC16, 2nd kind: 258296136493222766530021 (24 digits)

        It is a tiny improvement of the previous best 255... (also 24 digits)
        being a part of a CC17.

        All my Cunningham Chains search, which has already been going for
        about two weeks, is conducted by my own program written in C and run
        on 28 64-bit computers at Mathematical Institute of Wroclaw University.
        Primality check inside the program is performed by calling GMP function
        mpz_probab_prime_p

        The sieving algorithm is of my own design and implemented by
        using basic C operations only, with very little memory (probably
        processor's cache is enough on most computers).

        Jarek
      • jarek372000
        I have just discovered: CC17, 2nd kind: 1302312696655394336638441 (25 digits) CC15, 2nd kind: 5830768257311375388822241 (25 digits) I have given up searching
        Message 3 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 4 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 5 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 6 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
                >
                >
                >
                > ------------------------------------
                >
                > Unsubscribe by an email to: primenumbers-unsubscribe@yahoogroups.com
                > The Prime Pages : http://www.primepages.org/
                >
                > Yahoo! Groups Links
                >
                >
                >
                >
              • 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 7 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 8 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 9 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
                    Your message has been successfully submitted and would be delivered to recipients shortly.