2347 · 2223281 - 1
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help

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:2347 · 2223281 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L10 : Ritschel, NewPGen, LLR
Decimal Digits:67218   (log10 is 67217.648974939)
Rank (*):47158 (digit rank is 1)
Entrance Rank (*):3776
Currently on list? (*):no
Submitted:10/10/2005 03:30:26 CDT
Last modified:10/10/2005 03:50:24 CDT
Removed (*):3/25/2006 12:27:12 CDT
Database id:75886
Status Flags:none
Score (*):38.3298 (normalized score 0.0037)

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.
machineLinux P4 2.8GHz
notesCommand: /home/caldwell/client/llr.pl 2347*2^223281-1 2>&1
Starting Lucas Lehmer Riesel prime test of 2347*2^223281-1
V1 = 4 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
2347*2^223281-1 is prime! Time : 423.764 sec.
[Elapsed time: 424 seconds]
modified2005-10-19 12:27:07
created2005-10-10 03:41:18

Query times: 0.0006 seconds to select prime, 0.0009 seconds to seek comments.