3 · 22312734 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Description:3 · 22312734 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L158 : Underwood, NewPGen, 321search, LLR
Decimal Digits:696203   (log10 is 696202.7831132)
Rank (*):2662 (digit rank is 1)
Entrance Rank (*):18
Currently on list? (*):yes
Submitted:12/20/2005 13:30:03 CDT
Last modified:12/21/2005 11:16:44 CDT
Database id:76506
Status Flags:none
Score (*):45.5216 (normalized score 2.527)

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/TrialDiv/TrialDiv 3 2 2312734 -1 2>&1 [Elapsed time: 14.938 seconds]
modified2020-07-07 17:30:43
created2005-12-20 13:52:00

machineLinux P4 2.8GHz
notesCommand: /home/caldwell/client/llr.pl 3*2^2312734-1 2>&1 Starting Lucas Lehmer Riesel prime test of 3*2^2312734-1 V1 = 9 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 3*2^2312734-1 is prime! Time : 77023.111 sec. [Elapsed time: 77023 seconds]
modified2020-07-07 17:30:43
created2005-12-20 13:53:01

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.