163252711105 · 3371#/2 + 4
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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:163252711105 · 3371#/2 + 4
Verification status (*):PRP
Official Comment:Quintuplet (5)
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c67 : Batalov, NewPGen, OpenPFGW, Primo
Decimal Digits:1443   (log10 is 1442.1085754066)
Rank (*):96352 (digit rank is 4)
Entrance Rank (*):89281
Currently on list? (*):short
Submitted:1/1/2014 23:56:56 CDT
Last modified:1/2/2014 00:20:57 CDT
Database id:116800
Status Flags:Verify, TrialDiv
Score (*):26.4165 (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 3
Subcategory: "Quintuplet (5)"
(archival tag id 217555, tag last modified 2017-11-30 12:50:21)

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 (11 Sep 2014): 
Certificates: -8, -4, -2, +2, +4

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_id116800
person_id9
machineDitto P4 P4
whatprp
notesCommand: /home/ditto/client/pfgw -tc -q"163252711105*3371#/2+4" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 163252711105*3371#/2+4 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 3389, base 86+sqrt(3389)
Calling N-1 BLS with factored part 0.48% and helper 0.06% (1.52% proof)
163252711105*3371#/2+4 is Fermat and Lucas PRP! (0.6385s+0.0003s)
[Elapsed time: 1.00 seconds]
modified2014-04-01 17:37:38
created2014-01-02 00:08:05
id162309

Query times: 0.0006 seconds to select prime, -0.9993 seconds to seek comments.