26951! + 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Description:26951! + 1
Verification status (*):Proven
Official Comment (*):Factorial
Proof-code(s): (*):p65 : DavisK, Kuosa, OpenPFGW
Decimal Digits:107707   (log10 is 107706.367496892)
Rank (*):40627 (digit rank is 1)
Entrance Rank (*):73
Currently on list? (*):short
Submitted:5/22/2002 19:28:39 CDT
Last modified:5/22/2002 19:28:39 CDT
Database id:106
Status Flags:none
Score (*):39.7829 (normalized score 0.0117)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Factorial primes (archivable *)
Prime on list: yes, rank 8
Subcategory: "Factorial"
(archival tag id 187620, tag last modified 2016-07-27 01:20:35)

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
machineWinXP P4 1.8GHz
notesPFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 26959 Primality testing 26951!+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 26981 Calling Brillhart-Lehmer-Selfridge with factored part 34.11% 26951!+1 is prime! (9769.865000 seconds)
modified2003-03-25 11:21:47
created2003-01-23 00:44:20

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
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