
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes. This prime's information:
field (help)  value 
Description:  12379 · 2^{12379}  1 
Verification status (*):  Proven 
Official Comment:  Woodall 
Proofcode(s): (*):  K : Keller 
Decimal Digits:  3731 (log_{10} is 3730.54300188736) 
Rank (*):  84779 (digit rank is 1) 
Entrance Rank (*):  14 
Currently on list? (*):  short 
Submitted:  1984 
Last modified:  1984 
Database id:  27687 
Status Flags:  none 
Score (*):  29.3787 (normalized score 0) 

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.
 Woodall Primes (archivable *)
 Prime on list: yes, rank 16
Subcategory: "Woodall Primes"
(archival tag id 175120, tag last modified 20180328 13:50:05)
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.
field  value 
prime_id  27687 
person_id  9 
machine  Windows XP P4 1.8GHz 
what  prime 
notes  Primality testing 12379*2^123791 [N+1, BrillhartLehmerSelfridge] Calling BrillhartLehmerSelfridge with factored part 99.90% 12379*2^123791 is prime! (4.250000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 3, base 1+sqrt(3) 
modified  20030325 11:25:47 
created  20021209 01:02:24 
id  32357 

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
