938237 · 23752950 - 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:938237 · 23752950 - 1
Verification status (*):Proven
Official Comment:Woodall
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L521 : Thompson1, Gcwsieve, MultiSieve, PrimeGrid, LLR
Decimal Digits:1129757   (log10 is 1129756.4945397)
Rank (*):179 (digit rank is 1)
Entrance Rank (*):13
Currently on list? (*):short
Submitted:12/26/2007 09:35:08 CDT
Last modified:12/27/2007 15:27:11 CDT
Database id:83407
Status Flags:none
Score (*):47.0073 (normalized score 22.0882)

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 187013, tag last modified 2018-03-28 13:50:05)

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 (11 Sep 2014): 

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 938237 2 3752950 -1 2>&1
[Elapsed time: 11.209 seconds]
modified2011-12-27 16:48:48
created2007-12-26 09:52:02

machineRedHat P4 P4
notesCommand: /home/caldwell/client/llr.pl 938237*2^3752950-1 2>&1
Starting Lucas Lehmer Riesel prime test of 938237*2^3752950-1
V1 = 4 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
938237*2^3752950-1 is prime! Time : 107289.099 sec.
[Elapsed time: 29.80 hours]
modified2008-01-03 10:54:42
created2007-12-26 09:39:01

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