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257 · 2541402 - 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 · 2541402 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L145 : Minovic, Ksieve, NewPGen, Rieselprime, LLR
Decimal Digits:162981   (log10 is 162980.65164559)
Rank (*):32667 (digit rank is 1)
Entrance Rank (*):636
Currently on list? (*):no
Submitted:10/17/2006 07:52:18 CDT
Last modified:10/17/2006 08:22:30 CDT
Removed (*):9/9/2010 11:30:30 CDT
Database id:78670
Status Flags:none
Score (*):41.0584 (normalized score 0.0436)

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_id78670
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 257*2^541402-1 2>&1
Starting Lucas Lehmer Riesel prime test of 257*2^541402-1
V1 = 4 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
257*2^541402-1 is prime! Time : 1314.343 sec.
[Elapsed time: 1315 seconds]
modified2007-03-03 21:00:43
created2006-10-17 07:53:01
id86437

fieldvalue
prime_id78670
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 257 2 541402 -1 2>&1
[Elapsed time: 10.194 seconds]
modified2007-03-03 21:00:43
created2006-10-17 08:22:20
id86440

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.