6723416384 + 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: 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:

Description:6723416384 + 1
Verification status (*):Proven
Official Comment (*):Generalized Fermat
Proof-code(s): (*):g0 : Gallot, Proth.exe
Decimal Digits:79096   (log10 is 79095.217353731)
Rank (*):53688 (digit rank is 1)
Entrance Rank (*):16
Currently on list? (*):no
Submitted:6/7/1999 20:44:53 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):1/29/2007 18:11:42 UTC
Database id:270
Status Flags:none
Score (*):38.8315 (normalized score 0.0021)

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 4989
Subcategory: "Generalized Fermat"
(archival tag id 205219, tag last modified 2024-03-28 10:37:22)

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_id270
person_id8
machineUnknown
whatprime
notesProth.exe 7.1 (a = 3)
modified2003-03-25 17:21:52
created2003-01-20 14:44:15
id66600

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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