
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(219165) 
Verification status (*):  PRP 
Official Comment:  Lucas Aurifeuillian primitive part, ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c77 : Batalov, Primo 
Decimal Digits:  11557 (log_{10} is 11556.835862525) 
Rank (*):  73655 (digit rank is 1) 
Entrance Rank (*):  68031 
Currently on list? (*):  short 
Submitted:  5/18/2015 01:26:13 CDT 
Last modified:  5/18/2015 07:50:03 CDT 
Database id:  119926 
Status Flags:  Verify, TrialDiv 
Score (*):  32.8885 (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.
 Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 123
Subcategory: "ECPP"
(archival tag id 218046, tag last modified 20190602 14:20:07)  Lucas Aurifeuillian primitive part (archivable *)
 Prime on list: yes, rank 11
Subcategory: "Lucas Aurifeuillian primitive part"
(archival tag id 218045, tag last modified 20190407 01:20:28)
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.
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  119926 
person_id  9 
machine  Using: Xeon 4c+4c 3.5GHz 
what  prp 
notes  PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 6852712706...3159577601 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 13 Running N1 test using base 17 Running N+1 test using discriminant 37, base 21+sqrt(37) Calling N1 BLS with factored part 0.53% and helper 0.00% (1.59% proof)
6852712706...3159577601 is Fermat and Lucas PRP! (10.9467s+0.0764s) [Elapsed time: 11.00 seconds]

modified  20160408 12:40:28 
created  20150518 01:31:02 
id  165550 

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
