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: 213466917-1 Verification status (*): External Official Comment: Mersenne 39 Unofficial Comments: This prime has 2 user comments below. Proof-code(s): (*): G5 : Cameron, Kurowski, GIMPS, Prime95 Decimal Digits: 4053946   (log10 is 4053945.9661172) Rank (*): 9 (digit rank is 1) Entrance Rank (*): 1 Currently on list? (*): short Submitted: 12/7/2001 07:06:46 CDT Last modified: 7/15/2006 00:12:38 CDT Database id: 1 Status Flags: none Score (*): 50.9233 (normalized score 27328.2628)

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.

Mersenne (archivable *)

Prime on list: yes, rank 9
Subcategory: "Mersenne"
(archival tag id 187010, tag last modified 2009-06-13 12:41:00)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Chris Caldwell writes (26 Nov 2005): 

For more information see notes/13466917/.

Chris Caldwell writes (9 Aug 2007): 

Every Mersenne number less than this one has been checked for primality twice, proving this is the 39th Mersenne by size. GIMPS completed this double check on 10 July 2006.