
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:  U(15631, 1, 5040)  U(15631, 1, 5039) 
Verification status (*):  PRP 
Official Comment:  Lehmer number 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  x25 : Water, Broadhurst, Primo, OpenPFGW 
Decimal Digits:  21134 (log_{10} is 21133.4992624487) 
Rank (*):  66154 (digit rank is 2) 
Entrance Rank (*):  10499 
Currently on list? (*):  short 
Submitted:  4/23/2003 07:08:03 CDT 
Last modified:  4/23/2003 07:08:03 CDT 
Database id:  64489 
Status Flags:  Verify 
Score (*):  34.7568 (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.
 Lehmer number (archivable *)
 Prime on list: yes, rank 13
Subcategory: "Lehmer number"
(archival tag id 192134, tag last modified 20190803 12:50:11)
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  64489 
person_id  9 
machine  Linux P4 2.8GHz 
what  prp 
notes  PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Primality
Running N1 test using base 59 6413180756...7639097601 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 61 Running N+1 test using discriminant 83, base 12+sqrt(83) Calling N1 BLS with factored part 1.25% and helper 0.20% (3.96% proof) 3156911801...7639097601 is Fermat and Lucas PRP! (562.690000 seconds)

modified  20030712 13:12:12 
created  20030424 07:13:29 
id  69359 

Query times: 0.0004 seconds to select prime, 0.0008 seconds to seek comments.
