2740879 · 213704395 - 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:2740879 · 213704395 - 1
Verification status (*):Proven
Official Comment (*):Generalized Woodall
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L4976 : Propper, Batalov, Gcwsieve, LLR
Decimal Digits:4125441   (log10 is 4125440.4053173)
Rank (*):67 (digit rank is 1)
Entrance Rank (*):20
Currently on list? (*):short
Submitted:10/26/2019 08:43:23 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:130058
Status Flags:none
Score (*):50.9768 (normalized score 387.6703)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Generalized Woodall (archivable *)
Prime on list: yes, rank 5
Subcategory: "Generalized Woodall"
(archival tag id 223596, tag last modified 2024-02-26 15:37:18)

User comments about this prime (disclaimer):

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Serge Batalov writes (26 Oct 2019):  (report abuse)
= 2740879 ยท 322740879 - 1

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 2740879*2^13704395-1 2>&1 Starting Lucas Lehmer Riesel prime test of 2740879*2^13704395-1 Using zero-padded AVX FFT length 1440K, Pass1=384, Pass2=3840 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 2740879*2^13704395-1 is prime! (4125441 decimal digits) Time : 115518.337 sec. [Elapsed time: 32.09 hours]
modified2020-07-07 22:30:10
created2019-10-26 08:51:02

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