2507493262144 - 2507493131072 + 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:2507493262144 - 2507493131072 + 1
Verification status (*):InProcess
Official Comment (*):Generalized unique
Proof-code(s): (*):p453 : Propper, Batalov, CycloSv, Cyclo, EMsieve, PIES, OpenPFGW
Decimal Digits:1677523   (log10 is 1677522.2995985)
Rank (*):675 (digit rank is 1)
Entrance Rank (*):673
Currently on list? (*):yes
Submitted:11/10/2025 05:57:56 UTC
Last modified:11/16/2025 21:09:04 UTC
Database id:141228
Status Flags:Verify, Lint
Score (*):48.2196 (normalized score 12.17)

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.

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_id141228
person_id9
machineUsing: Digital Ocean Droplet
whatrequested
notesN-1: 2507493^262144-2507493^131072+1 845000/5572609 mro=0
modified2025-11-17 02:24:18
created2025-11-16 21:09:04
id187318

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.