3721 · 2881100 + 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:3721 · 2881100 + 1
Verification status (*):Proven
Official Comment:Generalized Fermat
Proof-code(s): (*):L2521 : Matillek, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:265242   (log10 is 265241.0998392)
Rank (*):15672 (digit rank is 1)
Entrance Rank (*):2521
Currently on list? (*):no
Submitted:5/24/2012 21:37:35 CDT
Last modified:5/24/2012 22:20:24 CDT
Removed (*):11/22/2012 03:25:41 CDT
Database id:107236
Status Flags:none
Score (*):42.5567 (normalized score 0.3032)

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 (archivable *)
Prime on list: no, rank 475
Subcategory: "Generalized Fermat"
(archival tag id 214346, tag last modified 2017-11-18 00:50:21)

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_id107236
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -t -q"3721*2^881100+1" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 3721*2^881100+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
3721*2^881100+1 is prime! (1639.3154s+0.0007s)
[Elapsed time: 27.33 minutes]
modified2012-07-16 11:32:59
created2012-05-24 21:38:01
id144060

fieldvalue
prime_id107236
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 3721 2 881100 1 2>&1
[Elapsed time: 10.016 seconds]
modified2012-07-16 11:32:59
created2012-05-24 21:48:01
id144061

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.