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61 · 2971585 - 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:61 · 2971585 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L80 : Benson, NewPGen, LLR
Decimal Digits:292479   (log10 is 292478.01366702)
Rank (*):16571 (digit rank is 1)
Entrance Rank (*):208
Currently on list? (*):no
Submitted:2/7/2008 09:09:12 CDT
Last modified:2/7/2008 09:49:14 CDT
Removed (*):6/29/2013 14:58:50 CDT
Database id:83970
Status Flags:none
Score (*):42.8572 (normalized score 0.2638)

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_id83970
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 61 2 971585 -1 2>&1
[Elapsed time: 9.894 seconds]
modified2011-12-27 16:48:48
created2008-02-07 09:22:01
id97070

fieldvalue
prime_id83970
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 61*2^971585-1 2>&1
Starting Lucas Lehmer Riesel prime test of 61*2^971585-1
Using Irrational Base DWT : Mersenne fftlen = 49152, Used fftlen = 57344
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.
Starting Lucas-Lehmer loop...
*2^971585-1 is prime! Time : 1572.609 sec.
[Elapsed time: 26.20 minutes]
modified2008-04-18 10:43:09
created2008-02-07 09:23:02
id97071

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.