20536181361 · 2333333 - 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:20536181361 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L378 : Dunn, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.54406435)
Rank (*):46089 (digit rank is 1444)
Entrance Rank (*):3871
Currently on list? (*):no
Submitted:9/9/2007 16:52:39 CDT
Last modified:9/9/2007 17:22:11 CDT
Removed (*):12/25/2007 14:47:12 CDT
Database id:82162
Status Flags:none
Score (*):39.5651 (normalized score 0.0066)

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/llr.pl 20536181361*2^333333-1 2>&1 Starting Lucas Lehmer Riesel prime test of 20536181361*2^333333-1 V1 = 5 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 20536181361*2^333333-1 is prime! Time: 1255.809 sec. [Elapsed time: 20.93 minutes]
modified2020-07-07 17:30:40
created2007-09-09 16:56:29

machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 20536181361 2 333333 -1 2>&1 [Elapsed time: 9.415 seconds]
modified2020-07-07 17:30:40
created2007-09-09 17:22:02

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