
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:
field (help)  value 
Description:  V(12251) 
Verification status (*):  PRP 
Official Comment:  Lucas number 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  p54 : Water, Broadhurst, OpenPFGW 
Decimal Digits:  2561 (log_{10} is 2560.30758070249) 
Rank (*):  88603 (digit rank is 2) 
Entrance Rank (*):  25353 
Currently on list? (*):  short 
Submitted:  5/13/2001 07:38:58 CDT 
Last modified:  5/13/2001 07:38:58 CDT 
Database id:  30846 
Status Flags:  Verify 
Score (*):  28.2069 (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 14
Subcategory: "Lucas Number"
(archival tag id 179786, tag last modified 20150923 10:50:29)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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  30846 
person_id  9 
machine  Linux PII 200 
what  prp 
notes  PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N1 test using base 3 Primality testing V(12251) [N1/N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 11, base 1+sqrt(11) Calling N1 BLS with factored part 1.58% and helper 1.05% (5.80% proof) V(12251) is Fermat and Lucas PRP! (69.820000 seconds) 
modified  20030325 11:22:58 
created  20030104 14:03:31 
id  61747 

Query times: 0.0004 seconds to select prime, 0.0009 seconds to seek comments.
