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

New AP 23 record.

Expand Messages
  • Markus Frind
    Man, I should pay more attention next time. This AP 23 I found on June 24th 2006 is actually the new record. It ends with 1,195,284,944,428,129 and
    Message 1 of 2 , Jan 9, 2007
      Man, I should pay more attention next
      time. This AP 23 I found on June 24th 2006
      is actually the new record. It ends with
      1,195,284,944,428,129 and the old one
      56211383760397 + 199678·23#·n ) ends with 1,036,239,621,869,317

      **********************

      There is also this one I found last
      year 654737613204229 + 110135*23#*n n=0..22

      Markus.

      At 01:14 PM 1/3/2007, Paul Underwood wrote:

      >--- In
      ><mailto:primeform%40yahoogroups.com>primeform@yahoogroups.com,
      >Jaroslaw Wroblewski <jwr@...> wrote:
      > >
      > > > > 63734273908111 + 11*19#*n, n=0..18
      > > >
      > > > Jens recognizes 23*19# as a
      > > > "valid AP19 difference for simultaneous primes",
      > > > but does /not/ recognize 11*19#.
      > >
      > > Once Jens has decided to allow AP-k with predetermined difference as
      > > simultaneous primes and once he decided to allow a set of 3 valid
      > > differences, the choice he made seems more natural to me than,
      > > say, k#, 2*k# and 3*k#. But of course this is a matter of personal
      >taste.
      > >
      > > The above progression was meant to improve the smallest known
      >difference,
      > > which was at 155*19# until now.
      > >
      > > BTW, what is the complete list of known AP23? From Jens's website,
      > > including news section, I was able to trace 3 AP23's. Are there any
      > > more? Perhaps it would be a good idea to keep track of all known AP23,
      > > not only those best in one of the rankings.
      > >
      >
      >There are four I know of -- but I am asking Markus if he has any more:
      ><http://www.primepuzzles.net/puzzles/puzz_268.htm>http://www.primepuzzles.net/puzzles/puzz_268.htm
      >
      >Paul
      >
      >
      >


      [Non-text portions of this message have been removed]
    • Jens Kruse Andersen
      ... Congratulations on improving your own AP23. http://hjem.get2net.dk/jka/math/aprecords.htm#news is updated with a comment about discovery date. But if
      Message 2 of 2 , Jan 9, 2007
        Markus Frind wrote:
        > Man, I should pay more attention next
        > time. This AP 23 I found on June 24th 2006
        > is actually the new record. It ends with
        > 1,195,284,944,428,129 and the old one
        > 56211383760397 + 199678·23#·n ) ends with 1,036,239,621,869,317
        >
        > There is also this one I found last
        > year 654737613204229 + 110135*23#*n n=0..22

        Congratulations on improving your own AP23.
        http://hjem.get2net.dk/jka/math/aprecords.htm#news is updated with a
        comment about discovery date.
        But if somebody should suddenly claim they long ago found an
        unpublished AP record which is no longer record, then don't expect a
        place in the record history.

        Gennady Gusev submitted an interesting AP18 today:
        47 + 19622534420177523*17#*n, n=0..17

        It greatly reduced the smallest known AP18 start from his own
        602521111 + 189175*17#*n, n=0..17
        but it's also the largest known AP18 (which is measured by ending
        prime). Wroblewski's former AP18 record only lasted 3 days and looked
        quite different:
        970080760458011996047 + 53#*n, n=0..17

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