2903168860 · 7001# + 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:2903168860 · 7001# + 1
Verification status (*):Proven
Official Comment:Arithmetic progression (6,d=370654742*7001#)
Proof-code(s): (*):p155 : DavisK, NewPGen, OpenPFGW
Decimal Digits:3019   (log10 is 3018.8086981263)
Rank (*):86691 (digit rank is 10)
Entrance Rank (*):69498
Currently on list? (*):no
Submitted:2/27/2012 21:56:10 CDT
Last modified:2/27/2012 22:20:29 CDT
Database id:105193
Status Flags:none
Score (*):28.7199 (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.
Arithmetic Progressions of Primes (archivable class *)
Prime on list: no, rank 6, weight 46.4067421914021
Subcategory: "Arithmetic progression (6,d=*)"
(archival tag id 214169, tag last modified 2018-04-22 01:20:28)

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.
machineRedHat Virtual STEM Server
notesCommand: /home/caldwell/client/pfgw -t -q"2903168860*7001#+1" 2>&1
PFGW Version [GWNUM 25.14]
Primality testing 2903168860*7001#+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7027
Running N-1 test using base 7039
Calling Brillhart-Lehmer-Selfridge with factored part 33.44%
2903168860*7001#+1 is prime! (2.1501s+0.0005s)
[Elapsed time: 4.00 seconds]
modified2012-07-16 11:33:02
created2012-02-27 22:03:25

machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 2903168860 7001 # 1 2>&1
[Elapsed time: 363.947 seconds]
modified2012-02-27 22:06:17
created2012-02-27 22:00:13

Query times: 0.0005 seconds to select prime, 0.0004 seconds to seek comments.