29941 - 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:29941 - 1
Verification status (*):Proven
Official Comment:Mersenne 22
Proof-code(s): (*):G : Gillies
Decimal Digits:2993   (log10 is 2992.53918689564)
Rank (*):87858 (digit rank is 1)
Entrance Rank (*):1
Currently on list? (*):no
Submitted:5/16/1963
Last modified:0/0/0000 00:00:00 CDT
Database id:29731
Status Flags:none
Score (*):28.6927 (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.
Mersenne (archivable *)
Prime on list: no, rank 30
Subcategory: "Mersenne"
(archival tag id 175438, tag last modified 2018-12-21 09:15:32)

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.
fieldvalue
prime_id29731
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 2^9941-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.01% 2^9941-1 is prime! (2.938000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 3, base 1+sqrt(3)
modified2003-03-25 11:23:48
created2002-12-27 14:56:20
id53272

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.