13 · 2684560 + 1
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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:13 · 2684560 + 1
Verification status (*):Proven
Official Comment:Divides GF(684557,10), GF(684559,6)
Proof-code(s): (*):g267 : Grobstich, NewPGen, PRP, Proth.exe
Decimal Digits:206075   (log10 is 206074.207775087)
Rank (*):21147 (digit rank is 1)
Entrance Rank (*):58
Currently on list? (*):short
Submitted:7/1/2003 02:18:49 CDT
Last modified:7/1/2003 02:18:49 CDT
Database id:65345
Status Flags:none
Score (*):41.7803 (normalized score 0.1414)

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.
Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: no, rank 21, weight 44.3453429061671
Subcategory: "Divides GF(*,6)"
(archival tag id 187172, tag last modified 2016-03-15 13:57:15)
Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: yes, rank 20, weight 44.3453429061671
Subcategory: "Divides GF(*,10)"
(archival tag id 187171, tag last modified 2017-08-24 21:20:02)

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_id65345
person_id9
machineLinux P4 2.8GHz
whatprime
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor')
Running N-1 test using base 3
Primality testing 13*2^684560+1 [N-1, Brillhart-Lehmer-Selfridge]
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
13*2^684560+1 is prime! (-731.244592 seconds)
modified2003-07-12 13:12:12
created2003-07-01 15:33:13
id70183

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