V(94823)

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.

This prime's information:

Description:V(94823)
Verification status (*):PRP
Official Comment (*):Lucas number, ECPP
Proof-code(s): (*):c73 : Underwood, Lifchitz, Primo
Decimal Digits:19817   (log10 is 19816.835011424)
Rank (*):73275 (digit rank is 1)
Entrance Rank (*):58035
Currently on list? (*):short
Submitted:5/26/2014 20:44:48 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:117907
Status Flags:Verify
Score (*):34.5578 (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.
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 96
Subcategory: "ECPP"
(archival tag id 217702, tag last modified 2024-03-24 06:37:14)
Lucas Number (archivable *)
Prime on list: yes, rank 7
Subcategory: "Lucas Number"
(archival tag id 217703, tag last modified 2023-12-16 03:37:32)

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.
fieldvalue
prime_id117907
person_id9
machineRedHat P4 P4
whatprp
notesCommand: /home/caldwell/client/pfgw -tc -q"V(94823)" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing V(94823) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N+1 test using discriminant 23, base 2+sqrt(23) Calling N+1 BLS with factored part 0.43% and helper 0.23% (1.53% proof) V(94823) is Fermat and Lucas PRP! (183.5234s+0.0360s) [Elapsed time: 3.07 minutes]
modified2020-07-07 22:30:17
created2014-05-26 20:53:01
id163453

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