13 · 21499876 + 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

For this prime : General Information : Archival Tags :

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:13 · 21499876 + 1
Verification status (*):Proven
Official Comment:Divides GF(1499875,3)
Proof-code(s): (*):g267 : Grobstich, NewPGen, PRP, Proth.exe
Decimal Digits:451509   (log10 is 451508.779719862)
Rank (*):3845 (digit rank is 1)
Entrance Rank (*):17
Currently on list? (*):short
Submitted:12/30/2004 03:58:54 CDT
Last modified:12/30/2004 03:58:54 CDT
Database id:72917
Status Flags:none
Score (*):44.1917 (normalized score 1.1918)

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.
Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: yes, rank 14, weight 46.7566985968113
Subcategory: "Divides GF(*,3)"
(archival tag id 187053, tag last modified 2016-03-15 13:57:15)
Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.