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.

Verification status (*):PRP
Official Comment (*):Partitions, ECPP
Proof-code(s): (*):c85 : Lasher, Broadhurst, Primo
Decimal Digits:12705   (log10 is 12704.554392792)
Rank (*):74986 (digit rank is 4)
Entrance Rank (*):70043
Currently on list? (*):short
Submitted:11/12/2017 18:43:32 CDT
Last modified:11/12/2017 19:50:18 CDT
Database id:123988
Blob database id:379
Status Flags:Verify, TrialDiv
Score (*):33.1818 (normalized score 0)

title='from prime_blob table' id='blob'>Description: (from blob table id=379)

The number of unrestricted integer partitions of 130242827 is p(130242827).

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 116
Subcategory: "ECPP"
(archival tag id 218914, tag last modified 2021-11-11 08:37:34)
Partitions (archivable *)
Prime on list: yes, rank 6
Subcategory: "Partitions"
(archival tag id 218915, tag last modified 2020-02-10 21:20:08)

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
notesPFGW Version [GWNUM 27.11] Primality testing 3584204593...9289187153 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Running N+1 test using discriminant 11, base 1+sqrt(11) Calling N-1 BLS with factored part 0.08% and helper 0.04% (0.28% proof) 3584204593...9289187153 is Fermat and Lucas PRP! (10.0617s+0.0043s) [Elapsed time: 10.00 seconds]
modified2020-07-07 17:30:15
created2017-11-12 19:21:01

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.