10999 + 2219103

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:10999 + 2219103
Verification status (*):PRP
Official Comment (*):ECPP, arithmetic progression (3,d=79890)
Proof-code(s): (*):c4 : Broadhurst, Primo
Decimal Digits:1000   (log10 is 999)
Rank (*):132793 (digit rank is 46)
Entrance Rank (*):48929
Currently on list? (*):no
Submitted:8/23/2000 14:45:27 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:58897
Status Flags:Verify
Score (*):25.2688 (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.
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 1206
Subcategory: "ECPP"
(archival tag id 178102, tag last modified 2024-04-24 05:37:26)
Arithmetic Progressions of Primes (archivable class *)
Prime on list: no, rank 1370, weight 29.693467414105
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 178101, tag last modified 2023-07-02 12:37:19)

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_id58897
person_id9
machineLinux PII 200
whatprp
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') 10^999+2219103 is 3-PRP! (1.440000 seconds)
modified2003-03-25 17:23:05
created2003-01-04 05:05:18
id60241

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