5761455 · 2517136 - 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.

This prime's information:

Description:5761455 · 2517136 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g393 : Tamai, NewPGen, PRP, Proth.exe
Decimal Digits:155681   (log10 is 155680.20836986)
Rank (*):40589 (digit rank is 1)
Entrance Rank (*):347
Currently on list? (*):no
Submitted:8/10/2005 20:54:20 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):7/8/2010 22:21:12 UTC
Database id:75318
Status Flags:none
Score (*):40.9174 (normalized score 0.0165)

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.
machineLinux P4 2.8GHz
notesCommand: /home/caldwell/client/llr.pl 5761455*2^517136-1 2>&1 Starting Lucas Lehmer Riesel prime test of 5761455*2^517136-1 V1 = 11 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 5761455*2^517136-1 is prime! Time : 2823.877 sec. [Elapsed time: 2824 seconds]
modified2020-07-07 22:30:43
created2005-08-10 21:23:01

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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