2564279 · 2170544 - 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:2564279 · 2170544 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L10 : Ritschel, NewPGen, LLR
Decimal Digits:51346   (log10 is 51345.2685458)
Rank (*):60807 (digit rank is 1)
Entrance Rank (*):1871
Currently on list? (*):no
Submitted:8/23/2003 15:21:28 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):10/4/2004 08:20:08 UTC
Database id:66016
Status Flags:none
Score (*):37.4989 (normalized score 0.0005)

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_id66016
person_id9
machineAthlon 1.3GHz
whatprime
notesCommand: pfgw.exe -n -f -tp -q"2564279*2^170544-1" 2>&1 Primality testing 2564279*2^170544-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 2564279*2^170544-1 is prime! (1633.5744s+0.0730s) PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 16706766 Running N+1 test using discriminant 3, base 1+sqrt(3)
modified2020-07-07 22:30:47
created2003-08-23 15:31:28
id70903

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