137403865536 + 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:137403865536 + 1
Verification status (*):Proven
Official Comment:Generalized Fermat
Proof-code(s): (*):GF3 : Penrose, GFNSieve, GFNSearch, Proth.exe
Decimal Digits:402260   (log10 is 402259.88566142)
Rank (*):4398 (digit rank is 1)
Entrance Rank (*):12
Currently on list? (*):yes
Submitted:5/28/2003 15:44:34 CDT
Last modified:5/28/2003 15:44:34 CDT
Database id:64872
Status Flags:none
Score (*):43.8368 (normalized score 1.1011)

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 390
Subcategory: "Generalized Fermat"
(archival tag id 204713, tag last modified 2017-10-06 04:20:21)

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_id64872
person_id9
machineLinux P4 2.8GHz
whatprime
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor')
Running N-1 test using base 3
Primality testing 1374038^65536+1 [N-1, Brillhart-Lehmer-Selfridge]
Calling Brillhart-Lehmer-Selfridge with factored part 95.10%
1374038^65536+1 is prime! (-831.537808 seconds)
modified2003-07-12 13:12:12
created2003-06-10 21:58:19
id69904

Query times: 0.0006 seconds to select prime, 0.0007 seconds to seek comments.