428639 · 23506452 - 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:428639 · 23506452 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L2046 : Melvold, Srsieve, PrimeGrid, LLR
Decimal Digits:1055553   (log10 is 1055552.8624476)
Rank (*):1562 (digit rank is 1)
Entrance Rank (*):29
Currently on list? (*):short
Submitted:1/18/2011 16:52:50 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:97496
Status Flags:none
Score (*):46.7989 (normalized score 5.9301)

User comments about this prime (disclaimer):

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PrimeGrid writes (11 Sep 2014):  (report abuse)
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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/llr.pl 428639*2^3506452-1 2>&1 Starting Lucas Lehmer Riesel prime test of 428639*2^3506452-1 Using Zero Padded IBDWT : Mersenne fftlen = 196608, Used fftlen = 393216 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done. Starting Lucas-Lehmer loop... 428639*2^3506452-1 is prime! Time : 48514.617 sec. [Elapsed time: 13.48 hours]
modified2020-07-07 22:30:32
created2011-01-18 16:53:02

machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 428639 2 3506452 -1 2>&1 [Elapsed time: 10.635 seconds]
modified2020-07-07 22:30:32
created2011-01-18 17:05:01

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