404882 · 43404882 - 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.

Description:404882 · 43404882 - 1
Verification status (*):Proven
Official Comment (*):Generalized Woodall
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p310 : Hubbard, Gcwsieve, MultiSieve, PrimeGrid, OpenPFGW
Decimal Digits:661368   (log10 is 661367.58256045)
Rank (*):2448 (digit rank is 1)
Entrance Rank (*):71
Currently on list? (*):short
Submitted:2/24/2011 14:52:08 CDT
Last modified:2/25/2011 12:20:22 CDT
Database id:98862
Status Flags:none
Score (*):45.364 (normalized score 2.4727)

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.
Generalized Woodall (archivable *)
Prime on list: yes, rank 9
Subcategory: "Generalized Woodall"
(archival tag id 213142, tag last modified 2019-11-26 12:20:12)

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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.
machineRedHat Virtual STEM Server
notesCommand: /home/caldwell/client/pfgw -tp -q"404882*43^404882-1" 2>&1 PFGW Version [GWNUM 25.14] Primality testing 404882*43^404882-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 5, base 5+sqrt(5) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 404882*43^404882-1 is prime! (75508.7877s+0.1014s) [Elapsed time: 20.98 hours]
modified2020-07-07 17:30:32
created2011-02-24 14:52:27

machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 404882 43 404882 -1 2>&1 [Elapsed time: 9.445 seconds]
modified2020-07-07 17:30:32
created2011-02-24 15:05:01

Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.