176660 · 18353320 - 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:176660 · 18353320 - 1
Verification status (*):Proven
Official Comment (*):Generalized Woodall
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p325 : Broadhurst, Gcwsieve, MultiSieve, OpenPFGW
Decimal Digits:443519   (log10 is 443518.12864132)
Rank (*):7106 (digit rank is 1)
Entrance Rank (*):263
Currently on list? (*):short
Submitted:9/20/2011 12:36:31 CDT
Last modified:9/21/2011 03:20:23 CDT
Database id:102110
Status Flags:none
Score (*):44.1368 (normalized score 0.7352)

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 18
Subcategory: "Generalized Woodall"
(archival tag id 213493, 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.

David Broadhurst writes (11 Sep 2014):  (report abuse)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -tp -q"176660*18^353320-1" 2>&1 PFGW Version [GWNUM 26.5] Primality testing 176660*18^353320-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 13, base 1+sqrt(13) Calling Brillhart-Lehmer-Selfridge with factored part 76.02% 176660*18^353320-1 is prime! (51853.2647s+0.0240s) [Elapsed time: 14.40 hours]
modified2020-07-07 17:30:30
created2011-09-20 12:38:01

machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 176660 18 353320 -1 2>&1 [Elapsed time: 9.426 seconds]
modified2020-07-07 17:30:30
created2011-09-20 12:48:01

Query times: 0.0005 seconds to select prime, 0.0009 seconds to seek comments.
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