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 (*):Lucas primitive part, ECPP
Proof-code(s): (*):c74 : Lasher, Dubner, Primo
Decimal Digits:14446   (log10 is 14445.225694079)
Rank (*):72812 (digit rank is 1)
Entrance Rank (*):66771
Currently on list? (*):short
Submitted:11/23/2016 15:31:44 CDT
Last modified:11/23/2016 15:50:35 CDT
Database id:122528
Status Flags:Verify, TrialDiv
Score (*):33.5794 (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 primitive part (archivable *)
Prime on list: yes, rank 12
Subcategory: "Lucas primitive part"
(archival tag id 218524, tag last modified 2021-02-13 15:20:13)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 93
Subcategory: "ECPP"
(archival tag id 218525, tag last modified 2021-09-18 09:37:41)

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 1681489185...9194828801 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 37 Running N-1 test using base 43 Running N+1 test using discriminant 67, base 14+sqrt(67) Calling N-1 BLS with factored part 1.50% and helper 0.00% (4.52% proof) 1681489185...9194828801 is Fermat and Lucas PRP! (19.6559s+0.0717s) [Elapsed time: 20.00 seconds]
modified2020-07-07 17:30:16
created2016-11-23 15:33:02

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <> © Chris Caldwell.