53 · 2582078 - 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:53 · 2582078 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L251 : Burt, NewPGen, Rieselprime, LLR
Decimal Digits:175225   (log10 is 175224.66209197)
Rank (*):33717 (digit rank is 1)
Entrance Rank (*):734
Currently on list? (*):no
Submitted:7/11/2007 19:02:44 CDT
Last modified:7/11/2007 20:53:05 CDT
Removed (*):11/21/2010 23:44:44 CDT
Database id:81640
Status Flags:none
Score (*):41.2814 (normalized score 0.0364)

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/TrialDiv/TrialDiv -q 53 2 582078 -1 2>&1 [Elapsed time: 10.249 seconds]
modified2020-07-07 17:30:41
created2007-07-11 19:22:11

machineRedHat P4 P4
notesCommand: /home/caldwell/client/llr.pl 53*2^582078-1 2>&1 Starting Lucas Lehmer Riesel prime test of 53*2^582078-1 V1 = 4 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 53*2^582078-1 is prime! Time : 1621.573 sec. [Elapsed time: 1622 seconds]
modified2020-07-07 17:30:41
created2007-07-11 20:26:03

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