86 · 394220461 - 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:86 · 394220461 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L541 : Barnes, Srsieve, CRUS, LLR
Decimal Digits:572208   (log10 is 572207.62705834)
Rank (*):3774 (digit rank is 1)
Entrance Rank (*):2308
Currently on list? (*):yes
Submitted:9/16/2020 00:53:28 CDT
Last modified:9/16/2020 03:20:23 CDT
Database id:131246
Status Flags:TrialDiv
Score (*):44.9194 (normalized score 1.3021)

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_id131246
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"86*394^220461-1" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 86*394^220461-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 88.40% 86*394^220461-1 is prime! (8229.5364s+0.0167s) [Elapsed time: 2.29 hours]
modified2021-04-20 17:39:26
created2020-09-16 00:56:02
id176934

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