211213 - 1

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:

Description:211213 - 1
Verification status (*):Proven
Official Comment (*):Mersenne 23
Proof-code(s): (*):G : Gillies
Decimal Digits:3376   (log10 is 3375.4493413802)
Rank (*):94141 (digit rank is 4)
Entrance Rank (*):1
Currently on list? (*):no
Last modified:0/0/0000 00:00:00 UTC
Database id:29090
Status Flags:none
Score (*):29.0675 (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 29
Subcategory: "Mersenne"
(archival tag id 175261, tag last modified 2018-12-21 15:15:32)

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.
machineWindows XP P4 1.8GHz
notesPrimality testing 2^11213-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.01% 2^11213-1 is prime! (4.219000 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 17:23:48
created2002-12-27 20:57:40

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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