(908215091 - 1)/9081
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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:(908215091 - 1)/9081
Verification status (*):PRP
Official Comment:Generalized repunit
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):CH2 : Wu_T, Primo, OpenPFGW, CHG
Decimal Digits:59729   (log10 is 59728.958846077)
Rank (*):49126 (digit rank is 1)
Entrance Rank (*):43280
Currently on list? (*):short
Submitted:10/17/2014 06:00:25 CDT
Last modified:10/17/2014 06:20:31 CDT
Database id:118631
Status Flags:Verify, TrialDiv
Score (*):37.9655 (normalized score 0.0026)

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 Repunit (archivable *)
Prime on list: yes, rank 8
Subcategory: "Generalized Repunit"
(archival tag id 217841, tag last modified 2018-09-09 08:20:06)

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.

Tom Wu writes (17 Oct 2014): 
CHG proof with N-1 factored to 27.12%

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tc -q"(9082^15091-1)/9081" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing (9082^15091-1)/9081 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N-1 BLS with factored part 0.16% and helper 0.02% (0.49% proof)

(9082^15091-1)/9081 is Fermat and Lucas PRP! (336.7628s+0.1321s)
[Elapsed time: 5.62 minutes]
modified2014-12-15 15:47:31
created2014-10-17 06:01:01

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.