
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:  primV(11076,  1, 12000) 
Verification status (*):  Proven 
Official Comment:  Generalized Lucas primitive part 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  x25 : Water, Broadhurst, Primo, OpenPFGW 
Decimal Digits:  25885 (log_{10} is 25884.0508839274) 
Rank (*):  61303 (digit rank is 1) 
Entrance Rank (*):  19146 
Currently on list? (*):  short 
Submitted:  11/25/2005 14:09:52 CDT 
Last modified:  12/30/2005 09:17:40 CDT 
Database id:  76279 
Status Flags:  none 
Score (*):  35.3837 (normalized score 0.0002) 

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 Lucas primitive part (archivable *)
 Prime on list: yes, rank 17
Subcategory: "Generalized Lucas primitive part"
(archival tag id 191678, tag last modified 20160721 21:20:29)
User comments about this prime (disclaimer):
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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.
field  value 
prime_id  76279 
person_id  9 
machine  WinXP Pentium M 1.7GHz 
what  prime 
notes  Command: pfgw.exe n f tc hp76279.txt q"primV(11076,1,12000)" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Reading factors from helper file p76279.txt trial factoring to 8009835 Running N1 test using base 23 Primality testing primV(11076,1,12000) [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 37 Calling N1 BLS with factored part 33.34% and helper 0.05% (100.06% proof) primV(11076,1,12000) is prime! (1749.1129s+0.3337s) Running N+1 test using discriminant 43, base 18+sqrt(43) [Elapsed time: 1748 seconds]

modified  20051230 11:16:04 
created  20051230 08:48:28 
id  82121 

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