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

Re: [PrimeNumbers] New 18-tuplet

Expand Messages
  • Jens Kruse Andersen
    ... Congratulations on another impressive record! You now have all records for 15 to 21 simultaneous primes at http://hjem.get2net.dk/jka/math/simultprime.htm
    Message 1 of 14 , Dec 14, 2008
    • 0 Attachment
      Jarek wrote:
      > I have just found 3rd known (the largest known) prime 18-tuplet:
      > 4530085223434265844952597 + d,
      > d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
      > (25 digits, Dec 14, 2008, Jaroslaw Wroblewski)

      Congratulations on another impressive record!
      You now have all records for 15 to 21 simultaneous primes at
      http://hjem.get2net.dk/jka/math/simultprime.htm

      It is actually the 4th known 18-tuplet including a trivial from 13 to 83.
      There are also trivial 19- to 23-tuplets with primes below 120.
      The first size with no known example is a 24-tuplet which I guess
      even you will not find for many years.

      --
      Jens Kruse Andersen
    • Mark Underwood
      ... Congratulations! It always amazes me to see primes at those densities at such large numbers. I wonder if future quantum computers (if such really are
      Message 2 of 14 , Dec 16, 2008
      • 0 Attachment
        --- In primenumbers@yahoogroups.com, "jarek372000" <jaroslaw.wroblewski@...> wrote:
        >
        > I have just found 3rd known (the largest known) prime 18-tuplet:
        >
        > Prime 18-tuplet
        > 4530085223434265844952597 + d,
        > d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
        > (25 digits, Dec 14, 2008, Jaroslaw Wroblewski)
        >

        Congratulations! It always amazes me to see primes at those densities at such 'large'
        numbers. I wonder if future quantum computers (if such really are possible) would be able to
        find the yet unfound, probably monstrously sized 24 tuplets that Jens alluded to.

        Mark
      • jarek372000
        I just got another 18-tuplet: Prime 18-tuplet 11298510058634407483251313 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 (26
        Message 3 of 14 , Dec 17, 2008
        • 0 Attachment
          I just got another 18-tuplet:

          Prime 18-tuplet
          11298510058634407483251313 + d,
          d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
          (26 digits, Dec 18, 2008, Jaroslaw Wroblewski)

          Jarek
        • jarek372000
          I just got another 18-tuplet: Prime 18-tuplet 23531820918273007548405133 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 (26
          Message 4 of 14 , Jan 15, 2009
          • 0 Attachment
            I just got another 18-tuplet:

            Prime 18-tuplet
            23531820918273007548405133 + d,
            d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
            (26 digits, Jan 2009, Jaroslaw Wroblewski)

            Jarek
          • jarek372000
            I just got another prime 18-tuplet: 33755528632220819791319947 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 (26 digits, Jan
            Message 5 of 14 , Jan 25, 2009
            • 0 Attachment
              I just got another prime 18-tuplet:

              33755528632220819791319947 + d,
              d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
              (26 digits, Jan 26, 2009, Jaroslaw Wroblewski)

              This is the largest known 18-tuplet and the largest known case of 18
              Simultaneous Primes.

              Jarek
            • Jens Kruse Andersen
              ... Congratulations! My ISP was bought and the buyer closed the old webhost last week. My former site at http://hjem.get2net.dk/jka has moved to
              Message 6 of 14 , Jan 26, 2009
              • 0 Attachment
                Jarek wrote:
                > 33755528632220819791319947 + d,
                > d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
                > (26 digits, Jan 26, 2009, Jaroslaw Wroblewski)
                >
                > This is the largest known 18-tuplet and the largest known case of 18
                > Simultaneous Primes.

                and then:
                > Here is the new AP19 with the smallest known start.
                >
                > 275525353 + 407133393*19#*n, n=0,..,18
                > (Mariusz Szafranski, BOINC@Poland, Jaroslaw Wroblewski)

                Congratulations!

                My ISP was bought and the buyer closed the old webhost last week.
                My former site at http://hjem.get2net.dk/jka has moved to
                http://users.cybercity.dk/~dsl522332
                File names are unchanged so all url's must just replace the start.
                My email is unchanged.
                The Largest Known Simultaneous Primes are now at
                http://users.cybercity.dk/~dsl522332/math/simultprime.htm
                Primes in Arithmetic Progression Records are at
                http://users.cybercity.dk/~dsl522332/math/aprecords.htm
                The pages are updated.

                --
                Jens Kruse Andersen
              • jarek372000
                I just got another prime 18-tuplet: 44453357465442632103684223 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 (26 digits, Feb 20,
                Message 7 of 14 , Feb 19, 2009
                • 0 Attachment
                  I just got another prime 18-tuplet:

                  44453357465442632103684223 + d,
                  d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
                  (26 digits, Feb 20, 2009, Jaroslaw Wroblewski)

                  This is the largest known 18-tuplet and the largest known case of 18
                  Simultaneous Primes.

                  Jarek
                • Jens Kruse Andersen
                  ... Congratulations! An 18-tuplet is very impressive and this is your fifth. http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated. -- Jens
                  Message 8 of 14 , Feb 20, 2009
                  • 0 Attachment
                    Jarek wrote:
                    > 44453357465442632103684223 + d,
                    > d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
                    > (26 digits, Feb 20, 2009, Jaroslaw Wroblewski)
                    >
                    > This is the largest known 18-tuplet and the largest known case of 18
                    > Simultaneous Primes.

                    Congratulations!
                    An 18-tuplet is very impressive and this is your fifth.
                    http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated.

                    --
                    Jens Kruse Andersen
                  • jarek372000
                    I just got another prime 18-tuplet: 51342365971531191697537333 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 (26 digits, Mar 11,
                    Message 9 of 14 , Mar 11 1:10 AM
                    • 0 Attachment
                      I just got another prime 18-tuplet:

                      51342365971531191697537333 + d,
                      d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
                      (26 digits, Mar 11, 2009, Jaroslaw Wroblewski)

                      This is the largest known 18-tuplet and the largest known case of 18
                      Simultaneous Primes.

                      Jarek
                    • Jaroslaw Wroblewski
                      I have just discovered the first known 27-digit prime 18-tuplet: 159272023128204753638724847 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60,
                      Message 10 of 14 , Jan 15, 2010
                      • 0 Attachment
                        I have just discovered the first known 27-digit prime 18-tuplet:

                        159272023128204753638724847 + d,
                        d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
                        (27 digits, Jan 15, 2010, Jaroslaw Wroblewski)

                        This is the largest known 18-tuplet and the largest known case of 18
                        Simultaneous Primes.

                        Jarek
                      • Jens Kruse Andersen
                        ... Congratulations! http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated with your 7th 18-tuplet record. -- Jens Kruse Andersen
                        Message 11 of 14 , Jan 15, 2010
                        • 0 Attachment
                          Jaroslaw Wroblewski wrote:
                          > 159272023128204753638724847 + d,
                          > d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
                          > (27 digits, Jan 15, 2010, Jaroslaw Wroblewski)
                          >
                          > This is the largest known 18-tuplet and the largest known case of 18
                          > Simultaneous Primes.

                          Congratulations!
                          http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated
                          with your 7th 18-tuplet record.

                          --
                          Jens Kruse Andersen
                        • jarek372000
                          I have just discovered another 27-digit prime 18-tuplet: Prime 18-tuplet 183837276562811649018077773 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48,
                          Message 12 of 14 , Apr 25, 2010
                          • 0 Attachment
                            I have just discovered another 27-digit prime 18-tuplet:

                            Prime 18-tuplet
                            183837276562811649018077773 + d,
                            d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
                            (27 digits, Apr 26, 2010, Jaroslaw Wroblewski)

                            This is the largest known 18-tuplet and the largest known case of 18
                            Simultaneous Primes.

                            Jarek
                          • Jens Kruse Andersen
                            ... Congratulations! http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated. -- Jens Kruse Andersen
                            Message 13 of 14 , Apr 26, 2010
                            • 0 Attachment
                              Jarek wrote:
                              > 183837276562811649018077773 + d,
                              > d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70
                              > (27 digits, Apr 26, 2010, Jaroslaw Wroblewski)

                              Congratulations!
                              http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated.

                              --
                              Jens Kruse Andersen
                            Your message has been successfully submitted and would be delivered to recipients shortly.