9039840848561 · 3299#/35 + 5
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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:9039840848561 · 3299#/35 + 5
Verification status (*):PRP
Official Comment:Quintuplet (4)
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c67 : Batalov, NewPGen, OpenPFGW, Primo
Decimal Digits:1401   (log10 is 1400.3338812058)
Rank (*):96809 (digit rank is 8)
Entrance Rank (*):89793
Currently on list? (*):short
Submitted:12/28/2013 16:23:13 CDT
Last modified:12/28/2013 16:51:19 CDT
Database id:116750
Status Flags:Verify, TrialDiv
Score (*):26.3247 (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 (4)"
(archival tag id 217550, tag last modified 2016-10-15 19:20:06)

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 are here: -5, +5, +7.

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_id116750
person_id9
machineDitto P4 P4
whatprp
notesCommand: /home/ditto/client/pfgw -tc -q"9039840848561*3299#/35+5" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 9039840848561*3299#/35+5 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 1+sqrt(5)
Calling N+1 BLS with factored part 0.75% and helper 0.06% (2.34% proof)
9039840848561*3299#/35+5 is Fermat and Lucas PRP! (0.6211s+0.0003s)
[Elapsed time: 0.00 seconds]
modified2014-04-01 17:37:38
created2013-12-28 16:38:02
id162259

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.