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Re: [PrimeNumbers] CC12 records

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  • Gary Chaffey
    Congratulations on these records. Sometimes we need a bit of luck when searching for primes. Gary Chaffey Jens Kruse Andersen wrote: CC12
    Message 1 of 3 , Feb 9, 2006
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      Congratulations on these records. Sometimes we need a bit of luck when searching for primes.
      Gary Chaffey

      Jens Kruse Andersen <jens.k.a@...> wrote:
      CC12 of the 2nd kind, starting at 56 digits:
      (8428860*127# + 212148902055090) * 2^n + 1, for n = 0..11

      It is also record for CC11 - which is what I searched!
      The lucky bonus prime improved the record for 12 simultaneous
      primes from 44 to 58 digits:
      http://hjem.get2net.dk/jka/math/simultprime.htm#history12
      The current records for 9, 11, 12 and 13 primes were set
      in fortunate searches for one less prime.

      A more modest record CC12 of the 1st kind, starting at 42 digits:
      (4431659*89# + 440181861259140) * 2^n - 1, for n = 0..11
      This was found earlier and the best overall CC12 at the time.

      The GMP library made prp tests. Marcel Martin's Primo proved all primes.

      And congratulations to Gary Chaffey:
      > I have just found the following record Cunningham Chain (1st Kind) length 5
      >
      > (2^n)*5864262128*1201#-1 For n=0..4

      --
      Jens Kruse Andersen




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    • Dirk Augustin
      Congrats to both of you! I updated the record list in the primenumbers file section. @Jens: Now you had the luck I had before. :) I m curios which record stays
      Message 2 of 3 , Feb 14, 2006
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        Congrats to both of you!

        I updated the record list in the primenumbers file section.

        @Jens:
        Now you had the luck I had before. :)
        I'm curios which record stays longer, your CC12 or my CC9. ;-)

        Regards,
        Dirk


        --- In primenumbers@yahoogroups.com, Gary Chaffey <garychaffey2@...>
        wrote:
        >
        > Congratulations on these records. Sometimes we need a bit of luck
        when searching for primes.
        > Gary Chaffey
        >
        > Jens Kruse Andersen <jens.k.a@...> wrote:
        > CC12 of the 2nd kind, starting at 56 digits:
        > (8428860*127# + 212148902055090) * 2^n + 1, for n = 0..11
        >
        > It is also record for CC11 - which is what I searched!
        > The lucky bonus prime improved the record for 12 simultaneous
        > primes from 44 to 58 digits:
        > http://hjem.get2net.dk/jka/math/simultprime.htm#history12
        > The current records for 9, 11, 12 and 13 primes were set
        > in fortunate searches for one less prime.
        >
        > A more modest record CC12 of the 1st kind, starting at 42 digits:
        > (4431659*89# + 440181861259140) * 2^n - 1, for n = 0..11
        > This was found earlier and the best overall CC12 at the time.
        >
        > The GMP library made prp tests. Marcel Martin's Primo proved all
        primes.
        >
        > And congratulations to Gary Chaffey:
        > > I have just found the following record Cunningham Chain (1st
        Kind) length 5
        > >
        > > (2^n)*5864262128*1201#-1 For n=0..4
        >
        > --
        > Jens Kruse Andersen
        >
        >
        >
        >
        > Unsubscribe by an email to: primenumbers-unsubscribe@yahoogroups.com
        > The Prime Pages : http://www.primepages.org/
        >
        >
        >
        >
        >
        > SPONSORED LINKS
        > Mathematics education Mathematics and computer science
        Number theory
        >
        > ---------------------------------
        > YAHOO! GROUPS LINKS
        >
        >
        > Visit your group "primenumbers" on the web.
        >
        > To unsubscribe from this group, send an email to:
        > primenumbers-unsubscribe@yahoogroups.com
        >
        > Your use of Yahoo! Groups is subject to the Yahoo! Terms of
        Service.
        >
        >
        > ---------------------------------
        >
        >
        >
        >
        >
        > ---------------------------------
        > To help you stay safe and secure online, we've developed the all
        new Yahoo! Security Centre.
        >
        > [Non-text portions of this message have been removed]
        >
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