345067 · 21876573 - 1
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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:345067 · 21876573 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):g59 : Linton, Proth.exe
Decimal Digits:564911   (log10 is 564910.299956572)
Rank (*):1404 (digit rank is 1)
Entrance Rank (*):20
Currently on list? (*):yes
Submitted:11/13/2005 22:16:06 CDT
Last modified:11/16/2005 03:56:39 CDT
Database id:76170
Status Flags:none
Score (*):44.88 (normalized score 3.0727)

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.
fieldvalue
prime_id76170
person_id9
machineLinux P4 2.8GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 345067*2^1876573-1 2>&1
Starting Lucas Lehmer Riesel prime test of 345067*2^1876573-1
V1 = 4 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
345067*2^1876573-1 is prime! Time : 27218.121 sec.
[Elapsed time: 27218 seconds]
modified2005-12-10 11:09:15
created2005-11-15 20:23:01
id81393

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.