(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help
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:Partitions, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c59 : Metcalfe, OpenPFGW, Primo
Decimal Digits:11137   (log10 is 11136.287612973)
Rank (*):73275 (digit rank is 1)
Entrance Rank (*):67176
Currently on list? (*):short
Submitted:11/3/2014 11:31:07 CDT
Last modified:12/3/2014 16:51:25 CDT
Database id:118704
Blob database id:334
Status Flags:Verify
Score (*):32.7736 (normalized score 0)

Description: (from blob table id=334)

The number of unrestricted integer partitions of 100090547 is p(100090547).

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 123
Subcategory: "ECPP"
(archival tag id 217845, tag last modified 2018-12-30 21:20:27)
Partitions (archivable *)
Prime on list: yes, rank 20
Subcategory: "Partitions"
(archival tag id 217846, tag last modified 2017-11-12 19:50:21)

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 (3 Nov 2014): 
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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tc -q"p(100090547)" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing p(100090547) [N-1/N+1, Brillhart-Lehmer-Selfridge]
small number, factored prime!
p(100090547) is prime! (0.0060s+5.5891s)
[Elapsed time: 6.00 seconds]
modified2014-12-15 15:47:31
created2014-11-03 11:41:01

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.