V(94823)

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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.

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 (*):	74107 (digit rank is 1)
Entrance Rank (*):	58035
Currently on list? (*):	yes
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 119
Subcategory: "ECPP"
(archival tag id 217702, tag last modified 2024-10-27 10:37:10)
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.

field value

prime_id 117907

person_id 9

machine RedHat P4 P4

what prp

notes Command: /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]

modified 2020-07-07 22:30:17

created 2014-05-26 20:53:01

id 163453

field	value
prime_id	117907
person_id	9
machine	RedHat P4 P4
what	prp
notes	Command: /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]
modified	2020-07-07 22:30:17
created	2014-05-26 20:53:01
id	163453

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