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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 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 number
Proof-code(s): (*):DK : Keller, Dubner, Cruncher
Decimal Digits:1223   (log10 is 1222.78668310263)
Rank (*):109994 (digit rank is 13)
Entrance Rank (*):7246
Currently on list? (*):short
Last modified:3/3/1995
Database id:46236
Status Flags:Verify
Score (*):25.901 (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 Number (archivable *)
Prime on list: yes, rank 18
Subcategory: "Lucas Number"
(archival tag id 179795, tag last modified 2015-09-23 10:50:29)

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.
machineLinux PII 200
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 2 Primality testing V(5851) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N+1 test using discriminant 41, base 1+sqrt(41) Calling N-1 BLS with factored part 6.75% and helper 6.25% (26.49% proof) V(5851) is Fermat and Lucas PRP! (19.750000 seconds)
modified2003-03-25 11:23:01
created2003-01-04 10:48:08

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