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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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
Verification status (*):PRP
Official Comment:Lucas Aurifeuillian primitive part, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c77 : Batalov, Primo
Decimal Digits:15189   (log10 is 15188.598275964)
Rank (*):68821 (digit rank is 1)
Entrance Rank (*):68358
Currently on list? (*):short
Submitted:2/16/2019 09:37:30 CDT
Last modified:2/16/2019 09:50:09 CDT
Database id:126139
Status Flags:Verify, TrialDiv
Score (*):33.7347 (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.
Lucas Aurifeuillian primitive part (archivable *)
Prime on list: yes, rank 2
Subcategory: "Lucas Aurifeuillian primitive part"
(archival tag id 220105, tag last modified 2019-03-07 12:50:26)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 59
Subcategory: "ECPP"
(archival tag id 220106, tag last modified 2019-06-02 14:20:07)

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.

Serge Batalov writes (16 Feb 2019): 
Certificate is available at FactorDB

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
notesPFGW Version [GWNUM 27.11]
Primality testing 3965299212...6267796101 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N-1 BLS with factored part 0.95% and helper 0.03% (2.89% proof)

3965299212...6267796101 is Fermat and Lucas PRP! (16.2063s+0.0017s)
[Elapsed time: 16.00 seconds]
modified2019-02-16 09:43:17
created2019-02-16 09:43:01

machineUsing: Xeon (pool) 4c+4c 3.5GHz
modified2019-02-16 09:43:01
created2019-02-16 09:43:01

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.