163747 · 6491241 - 1
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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:163747 · 6491241 - 1
Verification status (*):Proven
Official Comment:Generalized Woodall
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L2841 : Minovic, Gcwsieve, MultiSieve, TOPS, LLR
Decimal Digits:382266   (log10 is 382265.01256306)
Rank (*):9516 (digit rank is 1)
Entrance Rank (*):738
Currently on list? (*):no
Submitted:4/8/2012 23:50:40 CDT
Last modified:4/9/2012 06:20:23 CDT
Database id:106163
Status Flags:none
Score (*):43.6802 (normalized score 0.8085)

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 22
Subcategory: "Generalized Woodall"
(archival tag id 214295, tag last modified 2018-09-26 16:50:25)

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.

Predrag Minovic writes (11 Sep 2014): 

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/TrialDiv/TrialDiv -q 163747 6 491241 -1 2>&1
[Elapsed time: 9.829 seconds]
modified2012-07-16 11:33:01
created2012-04-08 23:52:02

machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -tp -q"163747*6^491241-1" 2>&1
PFGW Version [GWNUM 26.5]
Primality testing 163747*6^491241-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling Brillhart-Lehmer-Selfridge with factored part 61.31%
163747*6^491241-1 is prime! (22984.3431s+0.0157s)
[Elapsed time: 6.38 hours]
modified2012-07-16 11:33:01
created2012-04-08 23:53:01

Query times: 0.0005 seconds to select prime, 0.0003 seconds to seek comments.