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Old 2010-10-05, 21:14   #1
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Default World Record Factorial Prime Found

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).
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Old 2010-10-05, 21:37   #2
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Here is a fixed link: http://www.primegrid.com/forum_threa...rap=true#26809

Could this be the biggest prime yet that uses general modular reduction?

It's going to take several hours for The Prime Pages to confirm it's a prime

Last fiddled with by paulunderwood on 2010-10-05 at 22:03
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Old 2010-10-05, 22:33   #3
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Quote:
Originally Posted by paulunderwood View Post
Could this be the biggest prime yet that uses general modular reduction?
Whether it's the largest or not, it's quite large to not be very specialized. From looking at the top 5000, it looks like it's the largest that's not of the form k*b^n+-1. Does that mean it's the largest without using general modular reduction? A great find, in any case.
Congrats to all involved.
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Old 2010-10-05, 22:40   #4
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Quote:
Originally Posted by Mini-Geek View Post
From looking at the top 5000, it looks like it's the largest that's not of the form k*b^n+-1. Does that mean it's the largest without using general modular reduction?
Without using special modular reduction -- it is general.

Last fiddled with by paulunderwood on 2010-10-05 at 22:48
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Old 2010-12-20, 18:45   #5
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Late to the party, but this and this
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Old 2010-12-20, 23:51   #6
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Quote:
Originally Posted by rogue View Post
This is only the 24th known Factorial prime...the 14th discovery in the last 29 years and the first in almost 8 years.
I hope we won't have to wait that long before GIMPS finds its next prime!
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Old 2010-12-21, 00:14   #7
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Quote:
Originally Posted by ixfd64 View Post
I hope we won't have to wait that long before GIMPS finds its next prime!
I doubt GIMPS will. The world record primorial, currently being double-checked, would be the first -1 primorial in 18 years.
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Old 2012-03-02, 14:38   #8
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A new world record primorial has been found by PrimeGrid, http://www.primegrid.com/forum_thread.php?id=4146. It is 476,311 digits long.
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Old 2012-03-02, 16:41   #9
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If GIMPS also found a prime, you'll have to add that to your list
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