- From http://www.primegrid.com/forum_thread.php?id=1336:

A remarkable discovery was made yesterday in PrimeGrid's PRPNet.

Dmitry Domanov found a World Record Factorial prime.

94550!-1 is prime and is 429,390 digits long. It enters Chris

Caldwell's The Largest Known Primes Database ranked 1st for Factorial

primes and 155th overall.

This is only the 24th known Factorial prime...the 14th discovery in

the last 29 years and the first in almost 8 years. Needless to say,

this is a very rare find. It more than triples the size of the

previous record of 34790!-1 (142891 digits).

--Mark

[Non-text portions of this message have been removed] - Congratulations to Dmitry and PrimeGrid.

My daughter and tested to 70000 (using Phils factored sets) until we gave up a few months ago.> 155th overall. and 429,390 digits long

In 2001 when I found 21480!-1 (83727 digits) it entered at 70th.

How times change

cheers

Ken

--- In primenumbers@yahoogroups.com, Mark Rodenkirch <mgrogue@...> wrote:

>

> From http://www.primegrid.com/forum_thread.php?id=1336:

>

> A remarkable discovery was made yesterday in PrimeGrid's PRPNet.

> Dmitry Domanov found a World Record Factorial prime.

>

> 94550!-1 is prime and is 429,390 digits long. It enters Chris

> Caldwell's The Largest Known Primes Database ranked 1st for Factorial

> primes and 155th overall.

>

> This is only the 24th known Factorial prime...the 14th discovery in

> the last 29 years and the first in almost 8 years. Needless to say,

> this is a very rare find. It more than triples the size of the

> previous record of 34790!-1 (142891 digits).

>

> --Mark

>

> [Non-text portions of this message have been removed]

> - --- In primenumbers@yahoogroups.com,

Mark Rodenkirch <mgrogue@...> wrote:

> 94550!-1 is prime and is 429,390 digits long.

Wonderful work, by all concerned.

PrimeMogul is cautious and runs an old OpenPFGW

as a validator. He has marked the -tp proof of

http://primes.utm.edu/primes/page.php?id=95248

as "external", i.e. tedious to do at home.

But I expect that Chris's run will eventually

"internalize" the proof, after a week, or so,

rather than a PrimeGrid day.

David - --- In primenumbers@yahoogroups.com, "djbroadhurst" <d.broadhurst@...> wrote:
>

In deed!

>

>

> --- In primenumbers@yahoogroups.com,

> Mark Rodenkirch <mgrogue@> wrote:

>

> > 94550!-1 is prime and is 429,390 digits long.

>

> Wonderful work, by all concerned.

>

> PrimeMogul is cautious and runs an old OpenPFGW

> as a validator. He has marked the -tp proof of

> http://primes.utm.edu/primes/page.php?id=95248

> as "external", i.e. tedious to do at home.

> But I expect that Chris's run will eventually

> "internalize" the proof, after a week, or so,

> rather than a PrimeGrid day.

>

machine RedHat P4 P4

Command: /home/caldwell/client/TrialDiv/TrialDiv -q 1 94550 ! -1 2>&1

[Ellapsed time: 37239.758 seconds]

1+sqrt(94561)

Running N+1 test using discriminant 94561, base 2+sqrt(94561)

Calling Brillhart-Lehmer-Selfridge with factored part 33.53%

94550!-1 is prime! (309659.2942s+2.1227s)

[Elapsed time: 3.58 days]

ref: http://primes.utm.edu/primes/page.php?id=95248

Paul