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257 · 2286832 - 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 · 2286832 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L187 : Galvan, NewPGen, NPLB, LLR
Decimal Digits:86348   (log10 is 86347.4456494143)
Rank (*):46482 (digit rank is 1)
Entrance Rank (*):3411
Currently on list? (*):no
Submitted:7/13/2006 04:31:38 CDT
Last modified:7/13/2006 04:58:37 CDT
Removed (*):4/17/2007 15:25:54 CDT
Database id:78116
Status Flags:none
Score (*):39.1019 (normalized score 0.0061)

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.
machineGenToo P3 400MHz
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 257 2 286832 -1 2>&1
[Elapsed time: 8.913 seconds]
modified2006-07-14 06:27:02
created2006-07-13 04:52:02

machineRedHat P4 P4
notesCommand: /home/caldwell/client/ 257*2^286832-1 2>&1
Starting Lucas Lehmer Riesel prime test of 257*2^286832-1
V1 = 4 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
257*2^286832-1 is prime! Time : 335.130 sec.
[Elapsed time: 335 seconds]
modified2006-07-14 06:27:02
created2006-07-13 04:53:02

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