1183953 · 22367907 - 1
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help
 

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:1183953 · 22367907 - 1
Verification status (*):Proven
Official Comment:Woodall
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L447 : Kohlman, Gcwsieve, MultiSieve, PrimeGrid, LLR
Decimal Digits:712818   (log10 is 712817.10727717)
Rank (*):238 (digit rank is 1)
Entrance Rank (*):25
Currently on list? (*):short
Submitted:9/3/2007 02:00:10 CDT
Last modified:9/3/2007 12:14:15 CDT
Database id:82110
Status Flags:none
Score (*):45.594 (normalized score 8.8608)

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.
Woodall Primes (archivable *)
Prime on list: yes, rank 2
Subcategory: "Woodall Primes"
(archival tag id 187026, tag last modified 2009-02-12 20:01:30)

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.

PrimeGrid writes (7 Dec 2011): 
2367906*2^2367906-1

For more information, please see the Official Announcement.

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_id82110
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1183953 2 2367907 -1 2>&1
[Elapsed time: 10.764 seconds]
modified2011-12-27 16:48:49
created2007-09-03 02:22:02
id93340

fieldvalue
prime_id82110
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 1183953*2^2367907-1 2>&1
Starting Lucas Lehmer Riesel prime test of 1183953*2^2367907-1
V1 = 3 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
1183953*2^2367907-1 is prime! Time : 36007.753 sec.
[Elapsed time: 10.00 hours]
modified2007-09-12 06:50:18
created2007-09-03 02:14:07
id93339

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