1290733709840 · 2677# + 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:1290733709840 · 2677# + 1
Verification status (*):Proven
Official Comment:Cunningham chain 2nd kind (16p-15)
Proof-code(s): (*):p295 : Angel, NewPGen, OpenPFGW
Decimal Digits:1141   (log10 is 1140.7087035523)
Rank (*):107506 (digit rank is 11)
Entrance Rank (*):84036
Currently on list? (*):short
Submitted:1/5/2011 21:38:44 CDT
Last modified:1/5/2011 22:03:19 CDT
Database id:97267
Status Flags:none
Score (*):25.6838 (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 5, weight 46.2952953281562
Subcategory: "Cunningham chain 2nd kind (16p-15)"
(archival tag id 213048, tag last modified 2017-07-01 10:20:21)

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_id97267
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1290733709840 2677 # 1 2>&1
[Elapsed time: 161.608 seconds]
modified2011-12-27 16:48:35
created2011-01-05 22:00:38
id123937

fieldvalue
prime_id97267
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"1290733709840*2677#+1" 2>&1
PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14]
Primality testing 1290733709840*2677#+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2689
Calling Brillhart-Lehmer-Selfridge with factored part 33.57%
1290733709840*2677#+1 is prime! (0.1994s+0.0003s)
[Elapsed time: 10.00 seconds]
modified2011-01-18 10:15:29
created2011-01-05 21:50:13
id123929

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