6569# - 1
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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:6569# - 1
Verification status (*):Proven
Official Comment:Primorial
Proof-code(s): (*):D : Dubner, Cruncher
Decimal Digits:2811   (log10 is 2810.06565723652)
Rank (*):86359 (digit rank is 3)
Entrance Rank (*):639
Currently on list? (*):short
Submitted:12/1/1992
Last modified:12/1/1992
Database id:29992
Status Flags:none
Score (*):28.4968 (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.
Primorial (archivable *)
Prime on list: yes, rank 14
Subcategory: "Primorial"
(archival tag id 175501, tag last modified 2012-03-01 18:50:06)

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_id29992
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 6569#-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.36% 6569#-1 is prime! (29.656000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 3, base 3+sqrt(3)
modified2003-03-25 11:23:48
created2002-12-27 14:55:44
id53266

Query times: 0.0004 seconds to select prime, 0.0008 seconds to seek comments.