84 · 730560037 + 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:84 · 730560037 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):A12 : Kruse, Srsieve, CRUS, PRST
Decimal Digits:1603569   (log10 is 1603568.6688926)
Rank (*):460 (digit rank is 1)
Entrance Rank (*):413
Currently on list? (*):short
Submitted:1/4/2024 17:10:40 UTC
Last modified:1/5/2024 04:37:19 UTC
Database id:136842
Status Flags:none
Score (*):48.0814 (normalized score 21.6916)

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_id136842
person_id9
machineUsing: Digital Ocean Droplet
whatprime
notesCommand: /var/www/clientpool/1/pfgw64 -V -f -t -q"84*730^560037+1" >command_output 2>&1
PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11]
Primality testing 84*730^560037+1 [N-1, Brillhart-Lehmer-Selfridge]
trial


Running N-1 test using base 13
Special modular reduction using all-complex AVX-512 FFT length 600K, Pass1=960, Pass2=640, clm=1 on 84*730^560037+1
Calling Brillhart-Lehmer-Selfridge with factored part 65.08%


84*730^560037+1 is prime! (22362.3972s+0.0252s)
[Elapsed time: 6.21 hours]
modified2024-01-05 04:26:55
created2024-01-04 22:14:09
id182682

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.