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257 · 21064062 - 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:257 · 21064062 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L632 : Stokkedalen, Rieselprime, LLR
Decimal Digits:320317   (log10 is 320316.98917933)
Rank (*):14763 (digit rank is 1)
Entrance Rank (*):225
Currently on list? (*):no
Submitted:12/17/2008 02:08:19 CDT
Last modified:12/17/2008 03:07:47 CDT
Removed (*):11/26/2013 09:51:32 CDT
Database id:85972
Status Flags:none
Score (*):43.1368 (normalized score 0.3489)

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_id85972
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 257 2 1064062 -1 2>&1
[Elapsed time: 10.577 seconds]
modified2011-12-27 16:48:46
created2008-12-17 02:22:02
id101412

fieldvalue
prime_id85972
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 257*2^1064062-1 2>&1
Starting Lucas Lehmer Riesel prime test of 257*2^1064062-1
Using Irrational Base DWT : Mersenne fftlen = 57344, Used fftlen = 81920
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.
Starting Lucas-Lehmer loop...

257*2^1064062-1 is prime! Time : 2685.179 sec.
[Elapsed time: 44.75 minutes]
modified2009-02-05 12:51:35
created2008-12-17 02:23:02
id101413

Query times: 0.0004 seconds to select prime, 0.0008 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.