53625 · 2471031 - 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:53625 · 2471031 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L251 : Burt, NewPGen, Rieselprime, LLR
Decimal Digits:141800   (log10 is 141799.18925491)
Rank (*):42545 (digit rank is 1)
Entrance Rank (*):3002
Currently on list? (*):no
Submitted:4/29/2009 23:10:03 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):12/2/2009 19:29:35 UTC
Database id:87953
Status Flags:none
Score (*):40.6299 (normalized score 0.013)

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_id87953
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 53625 2 471031 -1 2>&1 [Elapsed time: 10.609 seconds]
modified2020-07-07 22:30:38
created2009-04-29 23:18:01
id105264

fieldvalue
prime_id87953
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 53625*2^471031-1 2>&1 Starting Lucas Lehmer Riesel prime test of 53625*2^471031-1 Using Irrational Base DWT : Mersenne fftlen = 24576, Used fftlen = 40960 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... 53625*2^471031-1 is prime! Time : 963.816 sec. [Elapsed time: 16.07 minutes]
modified2020-07-07 22:30:38
created2009-04-29 23:23:01
id105266

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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