2120542945 · 299901 - 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:2120542945 · 299901 - 1
Verification status (*):Proven
Official Comment (*):Arithmetic progression (3,d=928724769*2^99901)
Proof-code(s): (*):p364 : Batalov, NewPGen, OpenPFGW
Decimal Digits:30083   (log10 is 30082.5240439)
Rank (*):68250 (digit rank is 2)
Entrance Rank (*):64842
Currently on list? (*):no
Submitted:9/25/2022 02:32:41 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:134417
Status Flags:none
Score (*):35.8482 (normalized score 0.0001)

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.
Arithmetic Progressions of Primes (archivable class *)
Prime on list: no, rank 82, weight 41.975327853508
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 227330, tag last modified 2023-03-11 16:02:30)

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_id134417
person_id9
machineUsing: Dual Intel Xeon Gold 5222 CPUs 3.8GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"2120542945*2^99901-1" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing 2120542945*2^99901-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 3, base 1+sqrt(3)
Calling Brillhart-Lehmer-Selfridge with factored part 99.97%


2120542945*2^99901-1 is prime! (5.1009s+0.0001s)
[Elapsed time: 6.00 seconds]
modified2022-09-25 02:33:17
created2022-09-25 02:33:11
id180196

Query times: 0.0004 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.