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 Proof-code(s): (*): L521 : Thompson1, Gcwsieve, MultiSieve, PrimeGrid, LLR Decimal Digits: 1129757   (log10 is 1129756.4945397) Rank (*): 23 (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 596.4953)

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 1
Subcategory: "Woodall Primes"
(archival tag id 187013, tag last modified 2009-02-12 20:01:30)

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.

field value prime_id 83407 person_id 9 machine RedHat P4 P4 what prime notes Command: /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] modified 2008-01-03 10:54:42 created 2007-12-26 09:39:01 id 95927

field value prime_id 83407 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 938237 2 3752950 -1 2>&1 [Ellapsed time: 11.209 seconds] modified 2008-01-03 10:54:42 created 2007-12-26 09:52:02 id 95928