V(13963)

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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(13963)
Verification status (*):	PRP
Official Comment (*):	Lucas number, ECPP
Proof-code(s): (*):	c11 : Oakes, Primo
Decimal Digits:	2919 (log₁₀ is 2918.0944208105)
Rank (*):	97664 (digit rank is 3)
Entrance Rank (*):	27447
Currently on list? (*):	yes
Submitted:	1/24/2002 22:38:10 UTC
Last modified:	3/11/2023 15:54:10 UTC
Database id:	29870
Status Flags:	Verify
Score (*):	28.6143 (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 17
Subcategory: "Lucas Number"
(archival tag id 179785, tag last modified 2023-12-16 03:37:32)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 791
Subcategory: "ECPP"
(archival tag id 179784, tag last modified 2024-12-16 19:37:11)

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 29870

person_id 9

machine Linux PII 200

what prp

notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 2 Primality testing V(13963) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N-1 BLS with factored part 1.03% and helper 0.75% (3.86% proof) V(13963) is Fermat and Lucas PRP! (79.740000 seconds)

modified 2003-03-25 17:22:58

created 2003-01-04 21:12:12

id 61836

field	value
prime_id	29870
person_id	9
machine	Linux PII 200
what	prp
notes	PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 2 Primality testing V(13963) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N-1 BLS with factored part 1.03% and helper 0.75% (3.86% proof) V(13963) is Fermat and Lucas PRP! (79.740000 seconds)
modified	2003-03-25 17:22:58
created	2003-01-04 21:12:12
id	61836

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.