
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:  primB(119945) 
Verification status (*):  PRP 
Official Comment:  Lucas Aurifeuillian primitive part, ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c8 : Water, Broadhurst, Primo 
Decimal Digits:  8165 (log_{10} is 8164.908471358) 
Rank (*):  76599 (digit rank is 2) 
Entrance Rank (*):  66921 
Currently on list? (*):  short 
Submitted:  9/20/2013 19:36:51 CDT 
Last modified:  9/20/2013 20:50:27 CDT 
Database id:  115569 
Status Flags:  Verify, TrialDiv 
Score (*):  31.8115 (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.
 Lucas Aurifeuillian primitive part (archivable *)
 Prime on list: yes, rank 17
Subcategory: "Lucas Aurifeuillian primitive part"
(archival tag id 217243, tag last modified 20190407 01:20:28)  Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 240
Subcategory: "ECPP"
(archival tag id 217244, tag last modified 20190407 01:20:26)
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  115569 
person_id  9 
machine  Ditto P4 P4 
what  prp 
notes  PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 8099745216...3823116481 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 17 Running N+1 test using discriminant 29, base 18+sqrt(29) Calling N1 BLS with factored part 0.38% and helper 0.14% (1.29% proof) 8099745216...3823116481 is Fermat and Lucas PRP! (34.6479s+0.0060s) [Elapsed time: 34.00 seconds]

modified  20130920 20:25:54 
created  20130920 20:25:20 
id  161061 

Query times: 0.0001 seconds to select prime, 0.0002 seconds to seek comments.
