722047383902589 · 211111 - 1
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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 - 1
Verification status (*):Proven
Official Comment:Quadruplet (1)
Proof-code(s): (*):L165 : Keiser, NewPGen, OpenPFGW, LLR
Decimal Digits:3360   (log10 is 3359.6028475213)
Rank (*):86208 (digit rank is 5)
Entrance Rank (*):75119
Currently on list? (*):no
Submitted:4/14/2013 17:13:13 CDT
Last modified:4/14/2013 17:50:28 CDT
Database id:113881
Status Flags:none
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 (1)"
(archival tag id 217098, 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 -1 2>&1
[Elapsed time: 8.030 seconds]
modified2013-06-04 07:30:40
created2013-04-14 17:18:26

machineRedHat P4 P4
notesCommand: /home/caldwell/client/llr.pl 722047383902589*2^11111-1 2>&1
Starting Lucas Lehmer Riesel prime test of 722047383902589*2^11111-1
Using Zero Padded IBDWT : Mersenne fftlen = 512, Used fftlen = 1024
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...

722047383902589*2^11111-1 is prime! Time : 240.999 ms.
[Elapsed time: 0.00 seconds]
modified2013-06-04 07:30:40
created2013-04-14 17:23:01

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