213466917 - 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: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 (*):80 (digit rank is 1)
Entrance Rank (*):1
Currently on list? (*):yes
Submitted:12/7/2001 13:06:46 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:1
Status Flags:none
Score (*):50.9233 (normalized score 328.0079)

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 14
Subcategory: "Mersenne"
(archival tag id 187010, tag last modified 2024-10-21 21:37:25)

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):  (report abuse)
For more information see notes/13466917/.

Chris Caldwell writes (11 Sep 2014):  (report abuse)
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.

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: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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