773620262144 + 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:773620262144 + 1
Verification status (*):Proven
Official Comment:Generalized Fermat
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3118 : Yama, GeneferCUDA, AthGFNSieve, PrimeGrid, LLR
Decimal Digits:1543643   (log10 is 1543642.20245592)
Rank (*):73 (digit rank is 1)
Entrance Rank (*):22
Currently on list? (*):short
Submitted:4/22/2012 02:07:20 CDT
Last modified:4/26/2012 20:27:53 CDT
Database id:106465
Status Flags:none
Score (*):47.9646 (normalized score 68.7228)

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: yes, rank 15
Subcategory: "Generalized Fermat"
(archival tag id 214305, tag last modified 2017-09-02 15:20:05)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

PrimeGrid writes (11 Sep 2014): 
For more information, please see the Official Announcement.

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_id106465
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -t -q"773620^262144+1" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 773620^262144+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 49.51%
773620^262144+1 is prime! (411591.2546s+0.1547s)
[Elapsed time: 4.76 days]
modified2012-07-16 11:33:00
created2012-04-22 02:08:02
id142520

fieldvalue
prime_id106465
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1 773620 262144 1 2>&1
[Elapsed time: 8.613 seconds]
modified2012-07-16 11:33:00
created2012-04-22 02:18:02
id142521

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.