2364289 - 2182145 + 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:2364289 - 2182145 + 1
Verification status (*):Proven
Official Comment (*):Gaussian Mersenne norm 35, generalized unique
Proof-code(s): (*):p58 : Glover, Oakes, OpenPFGW
Decimal Digits:109662   (log10 is 109661.91609044)
Rank (*):44599 (digit rank is 1)
Entrance Rank (*):28
Currently on list? (*):short
Submitted:6/3/2001 02:01:02 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:100
Status Flags:none
Score (*):39.8384 (normalized score 0.0072)

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.
Gaussian Mersenne norm (archivable *)
Prime on list: yes, rank 7
Subcategory: "Gaussian Mersenne norm"
(archival tag id 187588, tag last modified 2023-03-11 15:53:59)
Generalized Unique (archivable *)
Prime on list: no, rank 323
Subcategory: "Generalized Unique"
(archival tag id 224399, tag last modified 2023-03-11 15:53:59)

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.
machineWinXP P4 1.8GHz
notesPFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 11 Primality testing 2^364289-2^182145+1 [N-1, Brillhart-Lehmer-Selfridge] N-1: 2^36Calling Brillhart-Lehmer-Selfridge with factored part 50.00% 2^364289-2^182145+1 is prime! (3747.497000 seconds) 4289-2^182145+1 265000/364290
modified2003-03-25 17:21:47
created2003-01-23 09:47:11

Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.