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 (*):86499 (digit rank is 2)
Entrance Rank (*):75116
Currently on list? (*):no
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: no, rank 6
Subcategory: "Quadruplet (4)"
(archival tag id 217095, tag last modified 2018-06-13 22:20:29)

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.
machineRedHat P4 P4
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

machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -tc -q"722047383902589*2^11111+7" 2>&1
PFGW Version [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

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