394254311495 · 3733#/2 - 2
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help)value
Description:394254311495 · 3733#/2 - 2
Verification status (*):PRP
Official Comment:Quintuplet (3)
Proof-code(s): (*):c67 : Batalov, NewPGen, OpenPFGW, Primo
Decimal Digits:1606   (log10 is 1605.8645036546)
Rank (*):96375 (digit rank is 3)
Entrance Rank (*):95075
Currently on list? (*):short
Submitted:11/30/2017 12:42:38 CDT
Last modified:11/30/2017 12:50:18 CDT
Database id:124038
Status Flags:Verify, TrialDiv
Score (*):26.7523 (normalized score 0)

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.
Quintuplet (archivable class *)
Prime on list: yes, rank 1
Subcategory: "Quintuplet (3)"
(archival tag id 218950, tag last modified 2017-11-30 12:50:21)

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 (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tc -q"394254311495*3733#/2-2" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing 394254311495*3733#/2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N-1 BLS with factored part 0.77% and helper 0.02% (2.36% proof)

394254311495*3733#/2-2 is Fermat and Lucas PRP! (0.4151s+0.0005s)
[Elapsed time: 1.00 seconds]
modified2017-11-30 12:43:03
created2017-11-30 12:43:02

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.