938237 · 23752950 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: 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:

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 (*):948 (digit rank is 1)
Entrance Rank (*):13
Currently on list? (*):yes
Submitted:12/26/2007 15:35:08 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:83407
Status Flags:none
Score (*):47.0073 (normalized score 6.3635)

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 2023-03-11 15:53:59)

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):  (report abuse)
3752948*2^3752948-1

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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_id83407
person_id9
machineRedHat P4 P4
whatprime
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]
modified2020-07-07 22:30:40
created2007-12-26 15:39:01
id95927

fieldvalue
prime_id83407
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 938237 2 3752950 -1 2>&1 [Elapsed time: 11.209 seconds]
modified2020-07-07 22:30:40
created2007-12-26 15:52:02
id95928

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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