31 · 2306751 - 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:31 · 2306751 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1 : Harvey, NewPGen, LLR
Decimal Digits:92343   (log10 is 92342.7435616158)
Rank (*):46132 (digit rank is 1)
Entrance Rank (*):620
Currently on list? (*):no
Submitted:4/26/2004 11:39:45 CDT
Last modified:4/26/2004 11:39:45 CDT
Removed (*):5/26/2007 10:27:11 CDT
Database id:70061
Status Flags:none
Score (*):39.3088 (normalized score 0.0072)

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_id70061
person_id9
machineLinux P4 2.8GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 31*2^306751-1 2>&1 Starting Lucas Lehmer Riesel prime test of 31*2^306751-1 V1 = 4 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 31*2^306751-1 is prime! Time : 1610.297 sec.
modified2020-07-07 17:30:45
created2004-04-26 12:02:06
id75019

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.