primU(43359)
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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:primU(43359)
Verification status (*):PRP
Official Comment:Fibonacci primitive part, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c8 : Water, Broadhurst, Primo
Decimal Digits:5939   (log10 is 5938.4758400585)
Rank (*):78758 (digit rank is 2)
Entrance Rank (*):68772
Currently on list? (*):short
Submitted:3/24/2013 06:38:33 CDT
Last modified:3/24/2013 07:20:36 CDT
Database id:111800
Status Flags:Verify
Score (*):30.8234 (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 334
Subcategory: "ECPP"
(archival tag id 215219, tag last modified 2017-11-27 10:20:19)
Fibonacci Primitive Part (archivable *)
Prime on list: yes, rank 15
Subcategory: "Fibonacci Primitive Part"
(archival tag id 215220, tag last modified 2015-04-16 11:20:32)

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.

David Broadhurst writes (11 Sep 2014): 
certificate

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_id111800
person_id9
machineRedHat P4 P4
whattrial_divided
notesPFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
2991162851944353....3160207078384001 1/1 mro=0


trial factoring to 1634386
2991162851...7078384001 has no small factor.
[Elapsed time: 4.423 seconds]
modified2013-04-08 09:17:47
created2013-03-24 06:48:17
id153939

fieldvalue
prime_id111800
person_id9
machineRedHat P4 P4
whatprp
notesPFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 2991162851...7078384001 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 17
Running N-1 test using base 19
Running N-1 test using base 37
Running N+1 test using discriminant 43, base 3+sqrt(43)
Calling N-1 BLS with factored part 1.15% and helper 0.04% (3.50% proof)
2991162851...7078384001 is Fermat and Lucas PRP! (17.0916s+0.0017s)
[Elapsed time: 17.00 seconds]
modified2013-03-24 06:55:05
created2013-03-24 06:54:48
id153959

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.