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255 · 2577903 - 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:255 · 2577903 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g320 : Griffin, NewPGen, NPLB, PRP, Proth.exe
Decimal Digits:173969   (log10 is 173968.54412438)
Rank (*):31050 (digit rank is 1)
Entrance Rank (*):586
Currently on list? (*):no
Submitted:12/30/2006 09:16:29 CDT
Last modified:12/30/2006 09:48:56 CDT
Removed (*):11/18/2010 10:02:02 CDT
Database id:79103
Status Flags:none
Score (*):41.2592 (normalized score 0.0533)

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_id79103
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 255 2 577903 -1 2>&1
[Elapsed time: 10.115 seconds]
modified2007-03-03 21:00:43
created2006-12-30 09:22:02
id87305

fieldvalue
prime_id79103
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 255*2^577903-1 2>&1
Starting Lucas Lehmer Riesel prime test of 255*2^577903-1
V1 = 9 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
255*2^577903-1 is prime! Time : 1555.078 sec.
[Elapsed time: 1555 seconds]
modified2007-03-03 21:00:43
created2006-12-30 09:23:01
id87306

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.