3 · 2382449 + 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.

Description:3 · 2382449 + 1
Verification status (*):Proven
Official Comment (*):Divides Fermat F(382447), GF(382447,3), GF(382447,12), GF(382443,6)
Proof-code(s): (*):g132 : Cosgrave, Proth.exe
Decimal Digits:115130   (log10 is 115129.09793295)
Rank (*):41226 (digit rank is 3)
Entrance Rank (*):10
Currently on list? (*):no
Submitted:7/23/1999 11:08:18 CDT
Last modified:7/23/1999 11:08:18 CDT
Database id:94
Status Flags:none
Score (*):39.9882 (normalized score 0.0114)

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 34, weight 41.086893245778
Subcategory: "Divides GF(*,6)"
(archival tag id 187566, tag last modified 2021-01-15 14:20:13)
Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: no, rank 33, weight 41.086893245778
Subcategory: "Divides GF(*,12)"
(archival tag id 187565, tag last modified 2021-01-28 16:20:27)
Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: no, rank 42, weight 41.086893245778
Subcategory: "Divides GF(*,3)"
(archival tag id 187564, tag last modified 2021-02-26 11:20:20)
Fermat Divisors (archivable *)
Prime on list: no, rank 27, weight 41.086893245778
Subcategory: "Divides Fermat"
(archival tag id 187563, 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.
fieldvalue
prime_id94
person_id9
machineWinXP Athlon 1.3GHz
whatprime
notesPFGW Version 1.1 for Windows Running N-1 test using base 5 Primality testing 3*2^382449+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 3*2^382449+1 is prime! (2884.247000 seconds)
modified2003-03-25 11:26:01
created2002-12-08 19:37:20
id30504

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.