102619722624 · 3797# + 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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:102619722624 · 3797# + 1
Verification status (*):Proven
Official Comment:Cunningham chain 2nd kind (16p-15)
Proof-code(s): (*):p395 : Angel, Augustin, NewPGen, OpenPFGW
Decimal Digits:1631   (log10 is 1630.6170689233)
Rank (*):97056 (digit rank is 1)
Entrance Rank (*):93261
Currently on list? (*):short
Submitted:9/29/2016 10:36:41 CDT
Last modified:9/29/2016 10:50:40 CDT
Database id:122265
Status Flags:TrialDiv
Score (*):26.8001 (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.
Cunningham Chains (2nd kind) (archivable class *)
Prime on list: yes, rank 1, weight 48.4835299081224
Subcategory: "Cunningham chain 2nd kind (16p-15)"
(archival tag id 218433, tag last modified 2016-09-29 10:50:45)

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"102619722624*3797#+1" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing 102619722624*3797#+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3823
Calling Brillhart-Lehmer-Selfridge with factored part 33.51%

102619722624*3797#+1 is prime! (0.4904s+0.0005s)
[Elapsed time: 1.00 seconds]
modified2017-01-27 05:57:11
created2016-09-29 10:41:01

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.