
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:  262419 · 2^{262419} + 1 
Verification status (*):  Proven 
Official Comment:  Cullen 
Proofcode(s): (*):  DS : Smith_Darren, Proth.exe 
Decimal Digits:  79002 (log_{10} is 79001.4094274225) 
Rank (*):  44347 (digit rank is 1) 
Entrance Rank (*):  8 
Currently on list? (*):  short 
Submitted:  3/8/1998 17:57:01 CDT 
Last modified:  3/8/1998 17:57:01 CDT 
Database id:  271 
Status Flags:  none 
Score (*):  38.8278 (normalized score 0.0072) 

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.
 Cullen primes (archivable *)
 Prime on list: yes, rank 6
Subcategory: "Cullen primes"
(archival tag id 188565, tag last modified 20090804 21:58:38)
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  271 
person_id  9 
machine  WinXP P4 1.8GHz 
what  prime 
notes  PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N1 test using base 5 Primality testing 262419*2^262419+1 [N1, BrillhartLehmerSelfridge] Calling BrillhartLehmerSelfridge with factored part 99.99% 262419*2^262419+1 is prime! (492.016000 seconds) 
modified  20030325 11:21:48 
created  20030122 12:07:28 
id  67284 

Query times: 0.0014 seconds to select prime, 0.0006 seconds to seek comments.
