273809 · 28932416 - 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:273809 · 28932416 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L1056 : Schwieger, Srsieve, PrimeGrid, LLR
Decimal Digits:2688931   (log10 is 2688930.5871966)
Rank (*):126 (digit rank is 1)
Entrance Rank (*):29
Currently on list? (*):short
Submitted:12/13/2017 16:55:15 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:124053
Status Flags:none
Score (*):49.6658 (normalized score 131.5974)

User comments about this prime (disclaimer):

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PrimeGrid writes (15 Dec 2017):  (report abuse)
Eliminates k=273809 from The Riesel Problem. For more information, please see the official announcement.

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/llr.pl 273809*2^8932416-1 2>&1 Starting Lucas Lehmer Riesel prime test of 273809*2^8932416-1 Using AVX FFT length 864K, Pass1=384, Pass2=2304 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 273809*2^8932416-1 is prime! (2688931 decimal digits) Time : 43131.913 sec. [Elapsed time: 11.98 hours]
modified2020-07-07 22:30:15
created2017-12-13 17:01:01

Query times: 0.0003 seconds to select prime, 0.001 seconds to seek comments.
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