417 · 24003224 + 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:417 · 24003224 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L5764 : Tirkkonen, LLR2, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1205094   (log10 is 1205093.123498)
Rank (*):579 (digit rank is 1)
Entrance Rank (*):470
Currently on list? (*):short
Submitted:4/2/2023 18:14:39 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:135896
Status Flags:none
Score (*):47.2053 (normalized score 10.9874)

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 -V -t -q"417*2^4003224+1" 2>&1
PFGW Version [GWNUM 30.11]
Primality testing 417*2^4003224+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Special modular reduction using all-complex AVX-512 FFT length 280K, Pass1=640, Pass2=448, clm=1 on 417*2^4003224+1
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%

417*2^4003224+1 is prime! (5615.2855s+0.0071s)
[Elapsed time: 1.56 hours]
modified2023-04-03 04:08:41
created2023-04-03 02:35:06

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