5 · 61204077 - 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:5 · 61204077 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):A2 : Propper, Srsieve, PRST
Decimal Digits:936955   (log10 is 936954.72207819)
Rank (*):2964 (digit rank is 1)
Entrance Rank (*):2642
Currently on list? (*):short
Submitted:11/21/2023 20:25:41 UTC
Last modified:11/21/2023 23:37:10 UTC
Database id:136680
Status Flags:none
Score (*):46.4332 (normalized score 4.2744)

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_id136680
person_id9
machineUsing: Digital Ocean Droplet
whatprime
notesCommand: /var/www/clientpool/1/pfgw64 -V -f -tp -q"5*6^1204077-1" >command_output 2>&1
PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11]
Primality testing 5*6^1204077-1 [N+1, Brillhart-Lehmer-Selfridge]
trial
Running N+1 test using discriminant 7, base 1+sqrt(7)
Special modular reduction using AVX-512 FFT length 192K, Pass1=192, Pass2=1K, clm=1 on 5*6^1204077-1
Calling Brillhart-Lehmer-Selfridge with factored part 61.31%


5*6^1204077-1 is prime! (9779.6198s+0.0096s)
[Elapsed time: 2.72 hours]
modified2023-11-21 23:09:04
created2023-11-21 20:26:02
id182515

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