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:

Verification status (*):External
Official Comment (*):Partitions, ECPP
Unofficial Comments:This prime has 2 user comments below.
Proof-code(s): (*):c84 : Underwood, Primo
Decimal Digits:40000   (log10 is 39999.003625289)
Rank (*):63194 (digit rank is 1)
Entrance Rank (*):57372
Currently on list? (*):short
Submitted:2/2/2020 09:42:04 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:130336
Blob database id:384
Status Flags:Verify
Score (*):36.7282 (normalized score 0.0003)

Description: (from blob table id=384)


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.
Elliptic Curve Primality Proof (archivable *)
Prime on list: yes, rank 11
Subcategory: "ECPP"
(archival tag id 223761, tag last modified 2023-09-15 17:37:10)
Partitions (archivable *)
Prime on list: yes, rank 1
Subcategory: "Partitions"
(archival tag id 223762, 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.

Serge Batalov writes (3 Feb 2020):  (report abuse)
This number's decimal expansion is available in FactorDB

Paul Underwood writes (3 Feb 2020):  (report abuse)
The certificate is available at Ellipsa

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, 0.0004 seconds to seek comments.
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