9 · 1011143 - 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:9 · 1011143 - 1
Verification status (*):Proven
Official Comment (*):Near-repdigit
Proof-code(s): (*):D : Dubner, Cruncher
Decimal Digits:11144   (log10 is 11143.954242509)
Rank (*):81826 (digit rank is 1)
Entrance Rank (*):49
Currently on list? (*):no
Submitted:12/2/1994 05:59:59 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:16858
Status Flags:none
Score (*):32.7757 (normalized score 0)

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.
Near-repdigit (archivable *)
Prime on list: no, rank 200
Subcategory: "Near-repdigit"
(archival tag id 211149, tag last modified 2024-02-07 04:37:20)

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_id16858
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 9*10^11143-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 69.89% 9*10^11143-1 is prime! (113.623000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 11, base 1+sqrt(11)
modified2003-03-25 17:25:25
created2002-12-10 03:10:37
id35553

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