583854 · 141167708 - 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.

Description:583854 · 141167708 - 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:1338349   (log10 is 1338348.64259002)
Rank (*):215 (digit rank is 1)
Entrance Rank (*):159
Currently on list? (*):short
Submitted:9/17/2019 10:48:09 CDT
Last modified:9/18/2019 02:50:11 CDT
Database id:129934
Status Flags:TrialDiv
Score (*):47.527 (normalized score 27.9104)

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 223522, tag last modified 2019-11-26 12:20:12)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Serge Batalov writes (17 Sep 2019):  (report abuse)
= 583854โ€Šยทโ€Š 196583854โ€Š - 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.
fieldvalue
prime_id129934
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"583854*14^1167708-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 583854*14^1167708-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 5, base 1+sqrt(5) Calling Brillhart-Lehmer-Selfridge with factored part 73.73% 583854*14^1167708-1 is prime! (56552.8201s+0.1491s) [Elapsed time: 15.71 hours]
modified2020-07-07 17:30:11
created2019-09-17 10:53:01
id175619

Query times: 0.0005 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.