220996011 - 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 PrimePages database: 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:

Description:220996011 - 1
Verification status (*):External
Official Comment (*):Mersenne 40
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):G6 : Shafer, GIMPS, Prime95
Decimal Digits:6320430   (log10 is 6320429.1002909)
Rank (*):16 (digit rank is 1)
Entrance Rank (*):1
Currently on list? (*):short
Submitted:11/18/2003 01:04:02 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:67522
Status Flags:none
Score (*):52.2829 (normalized score 1833.7006)

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 12
Subcategory: "Mersenne"
(archival tag id 187009, tag last modified 2023-03-11 15:53:59)

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 (12 May 2021):  (report abuse)
GIMPS reports:
July 11, 2010. Almost 7 years after discovering M(20996011), GIMPS finished double-checking every smaller Mersenne number. Since no primes were found, the "40th known Mersenne prime" can now be simply called the "40th Mersenne prime". Congratulations and thanks to all the GIMPS members that perform this less glamorous double-checking work.

Verification data:

Some of the very largest primes are externally verified by trusted groups or individuals and we do not reverify them at this site. This is one of those.
Query times: 0.0005 seconds to select prime, 0.0005 seconds to seek comments.
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