722047383902589 · 211111 + 7
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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:722047383902589 · 211111 + 7
Verification status (*):PRP
Official Comment:Quadruplet (4)
Proof-code(s): (*):c26 : Keiser, OpenPFGW, Primo
Decimal Digits:3360   (log10 is 3359.6028475213)
Rank (*):84887 (digit rank is 2)
Entrance Rank (*):75116
Currently on list? (*):short
Submitted:4/14/2013 17:11:42 CDT
Last modified:4/14/2013 17:50:28 CDT
Database id:113878
Status Flags:Verify
Score (*):29.0528 (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 5
Subcategory: "Quadruplet (4)"
(archival tag id 217095, tag last modified 2016-03-08 12:20:38)

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_id113878
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 722047383902589 2 11111 7 2>&1
[Elapsed time: 7.857 seconds]
modified2013-06-04 07:30:40
created2013-04-14 17:18:02
id158115

fieldvalue
prime_id113878
person_id9
machineRedHat P4 P4
whatprp
notesCommand: /home/caldwell/client/pfgw -tc -q"722047383902589*2^11111+7" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 722047383902589*2^11111+7 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 11
Running N+1 test using discriminant 23, base 2+sqrt(23)
Calling N-1 BLS with factored part 0.15% and helper 0.04% (0.50% proof)
722047383902589*2^11111+7 is Fermat and Lucas PRP! (4.5805s+0.0003s)
[Elapsed time: 4.00 seconds]
modified2013-06-04 07:30:40
created2013-04-14 17:23:07
id158122

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.