5 · 2125413 + 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:5 · 2125413 + 1
Verification status (*):Proven
Official Comment (*):Divides Fermat F(125410); GF(125410,5), GF(125408,10) [g0]; GF(125410,5) [p50]
Proof-code(s): (*):Y : Young
Decimal Digits:37754   (log10 is 37753.773816211)
Rank (*):61784 (digit rank is 1)
Entrance Rank (*):6
Currently on list? (*):no
Last modified:8/1995
Database id:2598
Status Flags:none
Score (*):36.5498 (normalized score 0.0003)

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 Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: no, rank 40, weight 38.159288375868
Subcategory: "Divides GF(*,10)"
(archival tag id 190721, tag last modified 2022-07-10 21:37:14)
Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: no, rank 49, weight 38.159288375868
Subcategory: "Divides GF(*,5)"
(archival tag id 190720, tag last modified 2020-10-29 19:20:16)
Fermat Divisors (archivable *)
Prime on list: no, rank 38, weight 38.159288375868
Subcategory: "Divides Fermat"
(archival tag id 190719, tag last modified 2021-01-16 15:20:20)

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.
machineAthlon 1.3GHz WinXP
notesProth.exe 7.1 (verification : a = 3)
modified2003-03-25 11:23:59
created2002-12-25 08:40:42

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.