
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:  2^{4253}  1 
Verification status (*):  Proven 
Official Comment:  Mersenne 19 
Proofcode(s): (*):  H : Hurwitz 
Decimal Digits:  1281 (log_{10} is 1280.28057155891) 
Rank (*):  106905 (digit rank is 52) 
Entrance Rank (*):  1 
Currently on list? (*):  no 
Submitted:  11/3/1961 
Last modified:  0/0/0000 00:00:00 CDT 
Database id:  43912 
Status Flags:  none 
Score (*):  26.0446 (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.
 Mersenne (archivable *)
 Prime on list: no, rank 33
Subcategory: "Mersenne"
(archival tag id 177016, tag last modified 20181221 09:15:32)
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  43912 
person_id  9 
machine  Windows XP P4 1.8GHz 
what  prime 
notes  Primality testing 2^42531 [N+1, BrillhartLehmerSelfridge] Calling BrillhartLehmerSelfridge with factored part 100.02% 2^42531 is prime! (0.438000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 3, base 1+sqrt(3) 
modified  20030325 11:23:49 
created  20021227 14:39:35 
id  53113 

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
