566650659276 · 2621# + 1615841

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:566650659276 · 2621# + 1615841
Verification status (*):PRP
Official Comment (*):Quintuplet (1)
Proof-code(s): (*):x38 : Broadhurst, OpenPFGW, Primo
Decimal Digits:1117   (log10 is 1116.3791741803)
Rank (*):122287 (digit rank is 57)
Entrance Rank (*):101378
Currently on list? (*):no
Submitted:12/10/2013 13:21:40 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:116596
Status Flags:Verify
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: no, rank 9
Subcategory: "Quintuplet (1)"
(archival tag id 217509, tag last modified 2023-03-11 15:53:59)

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_id116596
person_id9
machineDitto P4 P4
whatprp
notesCommand: /home/ditto/client/pfgw -tc -q"566650659276*2621#+1615841" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 566650659276*2621#+1615841 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N+1 BLS with factored part 0.62% and helper 0.62% (2.54% proof) 566650659276*2621#+1615841 is Fermat and Lucas PRP! (0.4111s+0.0004s) [Elapsed time: 0.00 seconds]
modified2020-07-07 22:30:18
created2013-12-11 09:35:27
id162109

Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
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