968 · 75522276 - 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:968 · 75522276 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):A11 : Anonymous, Srsieve, CRUS, PRST
Decimal Digits:979303   (log10 is 979302.48227452)
Rank (*):2884 (digit rank is 1)
Entrance Rank (*):2876
Currently on list? (*):short
Submitted:7/10/2024 06:48:27 UTC
Last modified:7/10/2024 16:37:10 UTC
Database id:138291
Status Flags:none
Score (*):46.5688 (normalized score 4.6518)

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_id138291
person_id9
machineUsing: Digital Ocean Droplet
whatprime
notesCommand: /var/www/clientpool/1/pfgw64 -V -f -tp -q"968*75^522276-1" >command_output 2>&1
PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11]
Primality testing 968*75^522276-1 [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 320K, Pass1=128, Pass2=2560, clm=2 on 968*75^522276-1
Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate
Iteration: 37/3253174 ERROR: ROUND OFF 0.49752>0.45
(Test aborted, try again using the -a1 switch)
Running N+1 test using discriminant 7, base 1+sqrt(7)
Special modular reduction using AVX-512 FFT length 336K, Pass1=896, Pass2=384, clm=1 on 968*75^522276-1
Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate
Iteration: 43232/3253174 ERROR: ROUND OFF 0.45>0.45
(Test aborted, try again using the -a2 (or possibly -a0) switch)
Running N+1 test using discriminant 7, base 1+sqrt(7)
Special modular reduction using AVX-512 FFT length 360K, Pass1=960, Pass2=384, clm=1 on 968*75^522276-1
Calling Brillhart-Lehmer-Selfridge with factored part 74.55%


968*75^522276-1 is prime! (25148.7683s+0.0093s)
[Elapsed time: 6.99 hours]
modified2024-07-10 16:31:08
created2024-07-10 09:31:56
id184133

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.