1455 · 22683954 - 6325241166627 · 21290000 - 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.

Description:1455 · 22683954 - 6325241166627 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):Arithmetic progression (3,d=1455*2^2683953-6325241166627*2^1290000)
Proof-code(s): (*):p423 : Propper, Batalov, EMsieve, OpenPFGW
Decimal Digits:807954   (log10 is 807953.82384532)
Rank (*):1728 (digit rank is 1)
Entrance Rank (*):1716
Currently on list? (*):short
Submitted:9/23/2021 14:24:01 CDT
Last modified:9/24/2021 05:37:46 CDT
Database id:132738
Status Flags:TrialDiv
Score (*):45.9786 (normalized score 4.6885)

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: yes, rank 2, weight 53.750978310558
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 226316, tag last modified 2021-09-24 19:37:50)

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_id132738
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/4/pfgw64 -tp -q"1455*2^2683954-6325241166627*2^1290000-1" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing 1455*2^2683954-6325241166627*2^1290000-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 5, base 1+sqrt(5)
Calling Brillhart-Lehmer-Selfridge with factored part 48.06%


1455*2^2683954-6325241166627*2^1290000-1 is prime! (53976.8379s+0.0007s)
[Elapsed time: 14.99 hours]
modified2021-09-24 05:25:38
created2021-09-23 14:26:01
id178451

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.