15877# - 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:15877# - 1
Verification status (*):Proven
Official Comment:Primorial
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):CD : Dubner, Caldwell, Cruncher
Decimal Digits:6845   (log10 is 6844.9185759399)
Rank (*):72008 (digit rank is 1)
Entrance Rank (*):79
Currently on list? (*):short
Submitted:12/1/1992
Last modified:12/1/1992
Database id:21658
Status Flags:none
Score (*):31.2644 (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 10
Subcategory: "Primorial"
(archival tag id 194773, tag last modified 2012-03-01 18:50:06)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Chris Caldwell writes (26 Nov 2005): 
For more information see [Caldwell95].

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_id21658
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 15877#-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.34% 15877#-1 is prime! (325.337000 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) Running N+1 test using discriminant 3, base 5+sqrt(3)
modified2003-03-25 11:23:47
created2002-12-27 15:16:13
id53419

Query times: 0.0005 seconds to select prime, 0.0001 seconds to seek comments.