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 (*):PRP
Official Comment (*):Euler irregular, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c4 : Broadhurst, Primo
Decimal Digits:2433   (log10 is 2432.7111578929)
Rank (*):99138 (digit rank is 2)
Entrance Rank (*):29731
Currently on list? (*):no
Submitted:2/13/2002 18:43:12 UTC
Last modified:5/14/2023 10:49:48 UTC
Database id:32071
Status Flags:Verify
Score (*):28.0477 (normalized score 0)

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: no, rank 851
Subcategory: "ECPP"
(archival tag id 175757, tag last modified 2024-04-24 05:37:26)
Euler Irregular primes (archivable *)
Prime on list: no, rank 21
Subcategory: "Euler Irregular primes"
(archival tag id 175756, tag last modified 2023-10-06 17:37:13)

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.

David Broadhurst writes (11 Sep 2014):  (report abuse)

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
machineLinux PII 200
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Reading factors from helper file helper Error opening file helper Running N-1 test using base 2 Primality testing E(1028)/(6415*56837916301577) [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 0.21% E(1028)/(6415*56837916301577) is PRP! (27.600000 seconds)
modified2003-03-25 17:22:47
created2003-01-07 11:05:57

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