24126 · 45375069 + 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:24126 · 45375069 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):A11 : Anonymous, Srsieve, CRUS, PRST
Decimal Digits:620074   (log10 is 620073.14681453)
Rank (*):4539 (digit rank is 1)
Entrance Rank (*):4309
Currently on list? (*):yes
Submitted:1/28/2024 10:50:58 UTC
Last modified:1/28/2024 13:37:26 UTC
Database id:136966
Status Flags:none
Score (*):45.1661 (normalized score 1.2196)

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_id136966
person_id9
machineUsing: Digital Ocean Droplet
whatprime
notesCommand: /var/www/clientpool/1/pfgw64 -V -f -t -q"24126*45^375069+1" >command_output 2>&1
PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11]
Primality testing 24126*45^375069+1 [N-1, Brillhart-Lehmer-Selfridge]
trial


Running N-1 test using base 3
Special modular reduction using all-complex AVX-512 FFT length 240K, Pass1=640, Pass2=384, clm=1 on 24126*45^375069+1
Running N-1 test using base 7
Special modular reduction using all-complex AVX-512 FFT length 240K, Pass1=640, Pass2=384, clm=1 on 24126*45^375069+1
Running N-1 test using base 11
Special modular reduction using all-complex AVX-512 FFT length 240K, Pass1=640, Pass2=384, clm=1 on 24126*45^375069+1
Calling Brillhart-Lehmer-Selfridge with factored part 57.72%


24126*45^375069+1 is prime! (6665.0759s+0.0080s)
[Elapsed time: 1.85 hours]
modified2024-01-28 13:27:17
created2024-01-28 11:36:08
id182804

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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