9 · 27479919 - 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:9 · 27479919 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3345 : Domanov1, PSieve, Rieselprime, LLR
Decimal Digits:2251681   (log10 is 2251680.9383794)
Rank (*):244 (digit rank is 1)
Entrance Rank (*):170
Currently on list? (*):yes
Submitted:6/3/2023 15:26:45 UTC
Last modified:6/4/2023 21:37:28 UTC
Database id:136126
Status Flags:none
Score (*):49.1219 (normalized score 53.1137)

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_id136126
person_id9
machineUsing: Digital Ocean Droplet
whatprime
notesCommand: /var/www/clientpool/1/pfgw64 -V -f -tp -q"9*2^7479919-1" 2>&1
PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11]
Primality testing 9*2^7479919-1 [N+1, Brillhart-Lehmer-Selfridge]
trial
Running N+1 test using discriminant 11, base 1+sqrt(11)
Special modular reduction using FMA3 FFT length 448K, Pass1=448, Pass2=1K, clm=4 on 9*2^7479919-1
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


9*2^7479919-1 is prime! (94712.4155s+0.0027s)
[Elapsed time: 26.31 hours]
modified2023-06-04 21:13:23
created2023-06-03 18:54:50
id181956

Query times: 0.0046 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.