225964951 - 1
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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:225964951 - 1
Verification status (*):External
Official Comment:Mersenne 42
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):G8 : Nowak, GIMPS, Prime95
Decimal Digits:7816230   (log10 is 7816229.08694548)
Rank (*):7 (digit rank is 1)
Entrance Rank (*):1
Currently on list? (*):short
Submitted:2/18/2005 17:37:53 CDT
Last modified:12/20/2012 07:36:27 CDT
Database id:73550
Status Flags:none
Score (*):52.9329 (normalized score 12760.7234)

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 7
Subcategory: "Mersenne"
(archival tag id 187007, tag last modified 2013-02-05 07:54:28)

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 (11 Sep 2014): 
Every Mersenne number less than this one has been checked once for primality (completed by GIMPS 8 April 2009), and then double checked (completed by GIMPS December 20, 2012). The residues for the tests were compared and they matched, providing a computational "proof" that this is the 42nd Mersenne prime by size.
Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.