225580118131072 + 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:225580118131072 + 1
Verification status (*):Proven
Official Comment (*):Generalized Fermat
Proof-code(s): (*):L5056 : Chu, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR
Decimal Digits:1094884   (log10 is 1094883.8450133)
Rank (*):956 (digit rank is 1)
Entrance Rank (*):898
Currently on list? (*):short
Submitted:4/19/2024 21:19:36 UTC
Last modified:4/20/2024 05:37:09 UTC
Database id:137987
Status Flags:none
Score (*):46.9111 (normalized score 6.6185)

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.
Generalized Fermat (archivable *)
Prime on list: no, rank 196
Subcategory: "Generalized Fermat"
(archival tag id 229497, tag last modified 2024-06-24 12:37:18)

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_id137987
person_id9
machineUsing: Digital Ocean Droplet
whatprime
notesCommand: /var/www/clientpool/1/pfgw64 -V -f -t -q"225580118^131072+1" >command_output 2>&1
PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11]
Primality testing 225580118^131072+1 [N-1, Brillhart-Lehmer-Selfridge]
trial


Running N-1 test using base 3
Special modular reduction using generic reduction AVX-512 FFT length 384K, Pass1=1K, Pass2=384, clm=1 on 225580118^131072+1
Calling Brillhart-Lehmer-Selfridge with factored part 48.70%


225580118^131072+1 is prime! (25112.7617s+0.0099s)
[Elapsed time: 6.98 hours]
modified2024-04-20 04:40:20
created2024-04-19 21:41:42
id183829

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