(258199 - 1)/237604901713907577052391
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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:(258199 - 1)/237604901713907577052391
Verification status (*):PRP
Official Comment:Mersenne cofactor, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c59 : Metcalfe, OpenPFGW, Primo
Decimal Digits:17497   (log10 is 17496.268862252)
Rank (*):65916 (digit rank is 1)
Entrance Rank (*):61396
Currently on list? (*):short
Submitted:1/18/2015 13:48:59 CDT
Last modified:1/18/2015 14:20:30 CDT
Database id:119109
Status Flags:Verify, TrialDiv
Score (*):34.1725 (normalized score 0)

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.
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 33
Subcategory: "ECPP"
(archival tag id 217885, tag last modified 2017-11-16 23:50:19)
Mersenne cofactor (archivable *)
Prime on list: yes, rank 2
Subcategory: "Mersenne cofactor"
(archival tag id 217886, tag last modified 2015-01-18 14:20:32)

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 Metcalfe writes (18 Jan 2015): 
Certificate available from here.

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.
fieldvalue
prime_id119109
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprp
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tc -q"(2^58199-1)/237604901713907577052391" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing (2^58199-1)/2376049017...7577052391 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 17, base 6+sqrt(17)
Calling N-1 BLS with factored part 0.13% and helper 0.02% (0.40% proof)


(2^58199-1)/2376049017...7577052391 is Fermat and Lucas PRP! (22.6676s+0.0003s)
[Elapsed time: 23.00 seconds]
modified2015-04-20 07:32:10
created2015-01-18 13:51:01
id164714

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.