1993191 · 23986382 - 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:1993191 · 23986382 - 1
Verification status (*):Proven
Official Comment (*):Generalized Woodall
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3532 : Batalov, Gcwsieve, LLR
Decimal Digits:1200027   (log10 is 1200026.8557239)
Rank (*):352 (digit rank is 1)
Entrance Rank (*):71
Currently on list? (*):short
Submitted:5/1/2015 11:42:51 CDT
Last modified:5/1/2015 14:20:27 CDT
Database id:119835
Status Flags:TrialDiv
Score (*):47.1924 (normalized score 15.6107)

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 6
Subcategory: "Generalized Woodall"
(archival tag id 218000, 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 (1 May 2015):  (report abuse)
1993191 · 41993191 - 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 1993191*2^3986382-1 2>&1 Starting Lucas Lehmer Riesel prime test of 1993191*2^3986382-1 Using zero-padded AVX FFT length 400K, Pass1=320, Pass2=1280 V1 = 3 ; Computing U0... V1 = 3 ; Computing U0...done.Starting Lucas-Lehmer loop... 1993191*2^3986382-1 is prime! (1200027 decimal digits) Time : 8323.199 sec. [Elapsed time: 2.31 hours]
modified2020-07-07 17:30:17
created2015-05-01 11:51:01

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