676 · 687282491 - 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:676 · 687282491 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L5426 : Gilliland, Srsieve, CRUS, LLR
Decimal Digits:801418   (log10 is 801417.57555539)
Rank (*):2818 (digit rank is 1)
Entrance Rank (*):2798
Currently on list? (*):short
Submitted:3/14/2023 12:56:03 UTC
Last modified:3/15/2023 02:37:47 UTC
Database id:135783
Status Flags:TrialDiv
Score (*):45.9536 (normalized score 3.2775)

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.
machineUsing: Digital Ocean Droplet
notesCommand: /var/www/clientpool/1/pfgw64 -tp -q"676*687^282491-1" 2>&1
PFGW Version [GWNUM 29.8]
Primality testing 676*687^282491-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 5, base 1+sqrt(5)
Calling Brillhart-Lehmer-Selfridge with factored part 83.18%

676*687^282491-1 is prime! (20181.5002s+0.0268s)
[Elapsed time: 5.61 hours]
modified2023-03-15 01:44:23
created2023-03-14 20:08:01

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