1183414 · 31183414 + 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:1183414 · 31183414 + 1
Verification status (*):Proven
Official Comment (*):Generalized Cullen
Proof-code(s): (*):L2841 : Minovic, Gcwsieve, MultiSieve, TOPS, LLR
Decimal Digits:564639   (log10 is 564638.04566952)
Rank (*):3981 (digit rank is 1)
Entrance Rank (*):437
Currently on list? (*):short
Submitted:1/20/2014 03:41:56 CDT
Last modified:1/20/2014 07:51:13 CDT
Database id:116944
Status Flags:TrialDiv
Score (*):44.8785 (normalized score 1.2191)

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 Cullen (archivable *)
Prime on list: yes, rank 18
Subcategory: "Generalized Cullen"
(archival tag id 217585, tag last modified 2021-09-01 15:37:16)

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/pfgw -t -q"1183414*3^1183414+1" 2>&1 PFGW Version [GWNUM 26.5] Primality testing 1183414*3^1183414+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 1183414*3^1183414+1 is prime! (14035.4780s+0.0428s) [Elapsed time: 3.90 hours]
modified2020-07-07 17:30:18
created2014-01-20 03:53:02

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.