2339662057597 · 103490 + 3
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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:2339662057597 · 103490 + 3
Verification status (*):PRP
Official Comment:Quadruplet (2)
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c67 : Batalov, NewPGen, OpenPFGW, Primo
Decimal Digits:3503   (log10 is 3502.3691531321)
Rank (*):83779 (digit rank is 4)
Entrance Rank (*):76796
Currently on list? (*):short
Submitted:12/21/2013 16:21:03 CDT
Last modified:12/21/2013 16:50:28 CDT
Database id:116695
Status Flags:Verify, TrialDiv
Score (*):29.1823 (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.
Quadruplet (archivable class *)
Prime on list: yes, rank 3
Subcategory: "Quadruplet (2)"
(archival tag id 217545, tag last modified 2016-03-08 12:20:38)

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.

Serge Batalov 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_id116695
person_id9
machineRedHat P4 P4
whatprp
notesCommand: /home/caldwell/client/pfgw -tc -q"2339662057597*10^3490+3" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 2339662057597*10^3490+3 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 3
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N-1 BLS with factored part 0.23% and helper 0.04% (0.75% proof)
2339662057597*10^3490+3 is Fermat and Lucas PRP! (2.8987s+0.0003s)
[Elapsed time: 3.00 seconds]
modified2014-04-01 17:37:39
created2013-12-21 16:23:06
id162204

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