## CC12 records

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• 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!
Message 1 of 3 , Feb 8, 2006
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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
• Congratulations on these records. Sometimes we need a bit of luck when searching for primes. Gary Chaffey Jens Kruse Andersen wrote: CC12
Message 2 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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• 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 3 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:
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/
>
>
>
>
>
> Mathematics education Mathematics and computer science
Number theory
>
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