5 · 21320487 + 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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:5 · 21320487 + 1
Verification status (*):Proven
Official Comment:Divides GF(1320486,12)
Proof-code(s): (*):g55 : Toplic, Proth.exe
Decimal Digits:397507   (log10 is 397506.894854348)
Rank (*):6514 (digit rank is 1)
Entrance Rank (*):7
Currently on list? (*):short
Submitted:3/20/2002 08:41:24 CDT
Last modified:3/20/2002 08:41:24 CDT
Database id:9
Status Flags:none
Score (*):43.8003 (normalized score 0.7954)

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 11, weight 45.4098026201333
Subcategory: "Divides GF(*,12)"
(archival tag id 187072, tag last modified 2016-03-15 13:57:15)

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.
machineWinXP Athlon 1.3GHz
notesPFGW Version 1.1 for Windows
Running N-1 test using base 3
Primality testing 5*2^1320487+1 [N-1, Brillhart-Lehmer-Selfridge]
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
5*2^1320487+1 is prime! (57944.290000 seconds)
modified2003-01-07 20:33:06
created2002-12-04 22:45:12

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.