566650659276 · 2621# + 1615853
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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:566650659276 · 2621# + 1615853
Verification status (*):PRP
Official Comment:Quintuplet (5)
Proof-code(s): (*):x38 : Broadhurst, Primo, OpenPFGW
Decimal Digits:1117   (log10 is 1116.3791741803)
Rank (*):108523 (digit rank is 53)
Entrance Rank (*):101378
Currently on list? (*):short
Submitted:12/10/2013 07:21:41 CDT
Last modified:12/11/2013 03:50:56 CDT
Database id:116600
Status Flags:Verify, TrialDiv
Score (*):25.6163 (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 5
Subcategory: "Quintuplet (5)"
(archival tag id 217505, tag last modified 2016-10-15 19:20:06)

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_id116600
person_id9
machineDitto P4 P4
whatprp
notesCommand: /home/ditto/client/pfgw -tc -q"566650659276*2621#+1615853" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 566650659276*2621#+1615853 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 4+sqrt(5)
Calling N+1 BLS with factored part 0.22% and helper 0.11% (0.76% proof)
566650659276*2621#+1615853 is Fermat and Lucas PRP! (0.3692s+0.0003s)
[Elapsed time: 0.00 seconds]
modified2014-04-01 17:37:39
created2013-12-11 03:35:33
id162113

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.