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doubly beastly arithmetic progressions

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  • paulunderwooduk
    Hi, congratulations to David Broadhurst for discovering the two AP3s based on Primegrid s prime numbers, in their search for a twin and Sophie Germain pairs.
    Message 1 of 10 , Mar 1, 2011
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      Hi,

      congratulations to David Broadhurst for discovering the two AP3s based on Primegrid's prime numbers, in their search for a twin and Sophie Germain pairs. The exponent 666,666 has been very fruitful,

      http://primes.utm.edu/primes/page.php?id=98974
      http://primes.utm.edu/primes/page.php?id=98956

      There are currently 1551 prime numbers in the Prime Pages database with the double beastly exponent,

      Paul
    • Jens Kruse Andersen
      ... Congratulations on these and a third: http://primes.utm.edu/primes/page.php?id=98982 http://users.cybercity.dk/~dsl522332/math/aprecords.htm is updated. --
      Message 2 of 10 , Mar 1, 2011
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        Paul wrote:
        > congratulations to David Broadhurst for discovering the two AP3s
        > based on Primegrid's prime numbers, in their search for a twin and
        > Sophie Germain pairs. The exponent 666,666 has been very fruitful,
        >
        > http://primes.utm.edu/primes/page.php?id=98974
        > http://primes.utm.edu/primes/page.php?id=98956

        Congratulations on these and a third:
        http://primes.utm.edu/primes/page.php?id=98982

        http://users.cybercity.dk/~dsl522332/math/aprecords.htm is updated.

        --
        Jens Kruse Andersen
      • paulunderwooduk
        ... And now a fourth: http://primes.utm.edu/primes/page.php?id=98991 Paul
        Message 3 of 10 , Mar 2, 2011
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          --- In primenumbers@yahoogroups.com, "Jens Kruse Andersen" <jens.k.a@...> wrote:
          >
          > Paul wrote:
          > > congratulations to David Broadhurst for discovering the two AP3s
          > > based on Primegrid's prime numbers, in their search for a twin and
          > > Sophie Germain pairs. The exponent 666,666 has been very fruitful,
          > >
          > > http://primes.utm.edu/primes/page.php?id=98974
          > > http://primes.utm.edu/primes/page.php?id=98956
          >
          > Congratulations on these and a third:
          > http://primes.utm.edu/primes/page.php?id=98982
          >
          > http://users.cybercity.dk/~dsl522332/math/aprecords.htm is updated.
          >
          > --

          And now a fourth:

          http://primes.utm.edu/primes/page.php?id=98991

          Paul
        • djbroadhurst
          ... Mike Oakes visited me and we attended a conference on general relativity and cosmology. It seems that this coincided with the discovery of a local region
          Message 4 of 10 , Mar 2, 2011
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            --- In primenumbers@yahoogroups.com,
            "paulunderwooduk" <paulunderwood@...> wrote:

            > And now a fourth:
            > http://primes.utm.edu/primes/page.php?id=98991

            Mike Oakes visited me and we attended a conference on
            general relativity and cosmology. It seems that this
            coincided with the discovery of a local region of high
            curvature, in probability space. There are clearly a good
            few AP3s that can be found by taking two elements from the
            PrimeGrid SG/Twin survey, but finding 4 in the space
            of a couple of days was unexpectedly non-Euclidean.

            It seems to me that PrimeGrid is already slightly unlucky
            not to have found an SG or Twin pair by now?

            David
          • mikeoakes2
            ... No longer able to congratulate you over the cornflakes, but anyway: many congrats on another hit. My slight concern is: how long before all the rest of us
            Message 5 of 10 , Mar 2, 2011
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              --- In primenumbers@yahoogroups.com, "djbroadhurst" <d.broadhurst@...> wrote:
              >
              > > And now a fourth:
              > > http://primes.utm.edu/primes/page.php?id=98991
              >
              > Mike Oakes visited me and we attended a conference on
              > general relativity and cosmology. It seems that this
              > coincided with the discovery of a local region of high
              > curvature, in probability space. There are clearly a good
              > few AP3s that can be found by taking two elements from the
              > PrimeGrid SG/Twin survey, but finding 4 in the space
              > of a couple of days was unexpectedly non-Euclidean.
              >
              > It seems to me that PrimeGrid is already slightly unlucky
              > not to have found an SG or Twin pair by now?

              No longer able to congratulate you over the cornflakes, but anyway: many congrats on another hit.

              My slight concern is: how long before all the rest of us are knocked off both tables of this page:
              http://primes.utm.edu/top20/page.php?id=14
              leaving only who=p199?

              Mike
            • djbroadhurst
              ... I think that PrimeMogul protects you, by allowing no more than 5 AP3s as listable in those tables. David
              Message 6 of 10 , Mar 2, 2011
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                --- In primenumbers@yahoogroups.com,
                "mikeoakes2" <mikeoakes2@...> wrote:

                > My slight concern is: how long before all the rest of us are
                > knocked off both tables of this page:
                > http://primes.utm.edu/top20/page.php?id=14

                I think that PrimeMogul protects you, by allowing
                no more than 5 AP3s as "listable" in those tables.

                David
              • paulunderwooduk
                ... Take heart: Ken and I and the e-group are trying to top the second table. I am about 18 of 35 GHz years of PRP ing, scheduled to finish by July, with
                Message 7 of 10 , Mar 2, 2011
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                  --- In primenumbers@yahoogroups.com, "mikeoakes2" <mikeoakes2@...> wrote:
                  >
                  > --- In primenumbers@yahoogroups.com, "djbroadhurst" <d.broadhurst@> wrote:
                  > >
                  > > > And now a fourth:
                  > > > http://primes.utm.edu/primes/page.php?id=98991
                  > >
                  > > Mike Oakes visited me and we attended a conference on
                  > > general relativity and cosmology. It seems that this
                  > > coincided with the discovery of a local region of high
                  > > curvature, in probability space. There are clearly a good
                  > > few AP3s that can be found by taking two elements from the
                  > > PrimeGrid SG/Twin survey, but finding 4 in the space
                  > > of a couple of days was unexpectedly non-Euclidean.
                  > >
                  > > It seems to me that PrimeGrid is already slightly unlucky
                  > > not to have found an SG or Twin pair by now?
                  >
                  > No longer able to congratulate you over the cornflakes, but anyway: many congrats on another hit.
                  >
                  > My slight concern is: how long before all the rest of us are knocked off both tables of this page:
                  > http://primes.utm.edu/top20/page.php?id=14
                  > leaving only who=p199?
                  >

                  Take heart: Ken and I and the e-group are trying to top the second table. I am about 18 of 35 GHz years of PRP'ing, scheduled to finish by July, with hopefully a few months extra real time of detection. Ken is concurrently searching for an titanic AP9 now. In the eventuality, the puny numbers found by us will outdo David and the mighty PrimeGrid.

                  The lowest ranked doubly beastly exponent is ranked 4481; PrimeGrid can find another 519 of these before they start to eat their own tail.

                  Good luck to PrimeGrid with SGs/twins and also to David finding more AP3s,

                  Paul
                • djbroadhurst
                  ... I shall issue a retraction by King Lear when that notable feat is accomplished, as now seems more or less assured. Best wishes David
                  Message 8 of 10 , Mar 2, 2011
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                    --- In primenumbers@yahoogroups.com,
                    "paulunderwooduk" <paulunderwood@...> wrote:

                    > Ken and I and the e-group are trying to top the
                    > second table. I am about 18 of 35 GHz years of PRP'ing, scheduled
                    > to finish by July, with hopefully a few months extra real time of
                    > detection. Ken is concurrently searching for an titanic AP9 now.

                    I shall issue a retraction by King Lear
                    when that notable feat is accomplished,
                    as now seems more or less assured.

                    Best wishes

                    David
                  • djbroadhurst
                    ... Tail-eating has now begun: # Written on Sat Apr 23 02:50:57 CDT 2011 4996 4658895*2^666666-1 200694.131372246 L81 06 #20060105075704.000000 4997
                    Message 9 of 10 , Apr 23, 2011
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                      --- In primenumbers@yahoogroups.com,
                      "paulunderwooduk" <paulunderwood@...> wrote:

                      > The lowest ranked doubly beastly exponent is ranked 4481; PrimeGrid
                      > can find another 519 of these before they start to eat their owntail.

                      Tail-eating has now begun:

                      # Written on Sat Apr 23 02:50:57 CDT 2011

                      4996 4658895*2^666666-1 200694.131372246 L81 06 #20060105075704.000000
                      4997 3028517*2^666666-1 200693.944319339 L81 05 #20051128022921.000000
                      4998 2806367*2^666666-1 200693.911233789 L81 05 #20051130014529.000000
                      4999 2403341*2^666666-1 200693.843904719 L81 05 #20051130085714.000000
                      5000 2172225*2^666666-1 200693.799994131 L81 05 #20051125104649.000000

                      David
                    • paulunderwooduk
                      ... I just counted 1803 doubly beastly primes in the CC s database. Congrats to Daniel Heuer (L81), PrimeGrid and David, with his arithmetic progression, for
                      Message 10 of 10 , Apr 23, 2011
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                        --- In primenumbers@yahoogroups.com, "djbroadhurst" <d.broadhurst@...> wrote:
                        >
                        > --- In primenumbers@yahoogroups.com,
                        > "paulunderwooduk" <paulunderwood@> wrote:
                        >
                        > > The lowest ranked doubly beastly exponent is ranked 4481; PrimeGrid
                        > > can find another 519 of these before they start to eat their owntail.
                        >
                        > Tail-eating has now begun:
                        >
                        > # Written on Sat Apr 23 02:50:57 CDT 2011
                        >
                        > 4996 4658895*2^666666-1 200694.131372246 L81 06 #20060105075704.000000
                        > 4997 3028517*2^666666-1 200693.944319339 L81 05 #20051128022921.000000
                        > 4998 2806367*2^666666-1 200693.911233789 L81 05 #20051130014529.000000
                        > 4999 2403341*2^666666-1 200693.843904719 L81 05 #20051130085714.000000
                        > 5000 2172225*2^666666-1 200693.799994131 L81 05 #20051125104649.000000
                        >

                        I just counted 1803 doubly beastly primes in the CC's database. Congrats to Daniel Heuer (L81), PrimeGrid and David, with his arithmetic progression, for this accomplishment,

                        Paul

                        Paul
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