58753 · 21594323 - 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:58753 · 21594323 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):p190 : DiMaria, NewPGen, OpenPFGW
Decimal Digits:479944   (log10 is 479943.81480703)
Rank (*):10242 (digit rank is 1)
Entrance Rank (*):39
Currently on list? (*):no
Submitted:8/31/2006 07:30:02 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):5/23/2021 17:45:42 UTC
Database id:78400
Status Flags:none
Score (*):44.3793 (normalized score 0.5502)

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_id78400
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 58753 2 1594323 -1 2>&1 [Elapsed time: 10.316 seconds]
modified2020-07-07 22:30:42
created2006-08-31 07:52:01
id85899

fieldvalue
prime_id78400
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 58753*2^1594323-1 2>&1 Starting Lucas Lehmer Riesel prime test of 58753*2^1594323-1 V1 = 4 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 58753*2^1594323-1 is prime! Time : 12677.472 sec. [Elapsed time: 12677 seconds]
modified2020-07-07 22:30:42
created2006-08-31 07:53:02
id85900

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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