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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
Verification status (*):PRP
Official Comment:Lucas primitive part, ECPP
Unofficial Comments:This prime has 2 user comments below.
Proof-code(s): (*):c74 : Lasher, Dubner, Primo
Decimal Digits:11060   (log10 is 11059.834394185)
Rank (*):72294 (digit rank is 1)
Entrance Rank (*):66786
Currently on list? (*):short
Submitted:7/28/2014 10:26:50 CDT
Last modified:7/28/2014 12:56:54 CDT
Database id:118263
Status Flags:Verify, TrialDiv
Score (*):32.7523 (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 primitive part (archivable *)
Prime on list: yes, rank 20
Subcategory: "Lucas primitive part"
(archival tag id 217770, tag last modified 2016-11-23 15:50:39)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 110
Subcategory: "ECPP"
(archival tag id 217771, tag last modified 2017-11-16 23:50:19)

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.

Charles H (Chuck) Lasher writes (11 Sep 2014): 
Certificate: Certificate Summary info

David Broadhurst writes (11 Sep 2014): 

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.
machineXeon 4c+4c 3.5GHz
notesPFGW Version [GWNUM 27.11]
Primality testing 6829582966...5284974401 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 37
Running N+1 test using discriminant 59, base 15+sqrt(59)
Calling N-1 BLS with factored part 0.59% and helper 0.02% (1.80% proof)

6829582966...5284974401 is Fermat and Lucas PRP! (8.6226s+0.0034s)
[Elapsed time: 8.00 seconds]
modified2015-01-06 10:48:30
created2014-07-28 10:31:01

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