36739 · 2587827 - 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:36739 · 2587827 - 1
Verification status (*):Proven
Official Comment (*):Generalized Woodall
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p77 : Harvey, MultiSieve, GenWoodall, OpenPFGW
Decimal Digits:176959   (log10 is 176958.1243885)
Rank (*):32482 (digit rank is 1)
Entrance Rank (*):2097
Currently on list? (*):no
Submitted:9/11/2009 17:18:03 CDT
Last modified:9/11/2009 17:50:20 CDT
Database id:89940
Status Flags:none
Score (*):41.3117 (normalized score 0.043)

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: no, rank 66
Subcategory: "Generalized Woodall"
(archival tag id 210512, tag last modified 2019-11-26 12:20:12)

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.

Steven Harvey writes (11 Sep 2014):  (report abuse)
587824*2^587823-1 Near Woodall & 293912*4^293912-1 Generalized Woodall

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/llr.pl 36739*2^587827-1 2>&1 Starting Lucas Lehmer Riesel prime test of 36739*2^587827-1 Using Irrational Base DWT : Mersenne fftlen = 32768, Used fftlen = 49152 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done. Starting Lucas-Lehmer loop... 36739*2^587827-1 is prime! Time : 786.712 sec. [Elapsed time: 13.10 minutes]
modified2020-07-07 17:30:37
created2009-09-11 17:23:02

machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 36739 2 587827 -1 2>&1 [Elapsed time: 10.113 seconds]
modified2020-07-07 17:30:37
created2009-09-11 17:35:01

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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