(5872915091 - 1)/58728

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:(5872915091 - 1)/58728
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:71962   (log10 is 71961.985832179)
Rank (*):48424 (digit rank is 1)
Entrance Rank (*):44240
Currently on list? (*):short
Submitted:2/4/2017 08:25:29 CDT
Last modified:2/4/2017 08:50:34 CDT
Database id:122849
Status Flags:Verify, TrialDiv
Score (*):38.5401 (normalized score 0.0033)

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 4
Subcategory: "Generalized Repunit"
(archival tag id 218594, tag last modified 2018-09-09 08:20:06)

User comments about this prime (disclaimer):

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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.
machineUsing: Xeon (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tc -q"(58729^15091-1)/58728" 2>&1 PFGW Version [GWNUM 27.11] Primality testing (58729^15091-1)/58728 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N-1 test using base 3 Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N-1 BLS with factored part 0.12% and helper 0.01% (0.37% proof) (58729^15091-1)/58728 is Fermat and Lucas PRP! (494.4265s+0.0007s) [Elapsed time: 8.25 minutes]
modified2020-07-07 17:30:16
created2017-02-04 08:29:23

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.
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