3255361 - 3127681 + 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:3255361 - 3127681 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):p96 : Doumen, Beelen, OpenPFGW
Decimal Digits:121839   (log10 is 121838.16072647)
Rank (*):45413 (digit rank is 1)
Entrance Rank (*):86
Currently on list? (*):no
Submitted:11/8/2002 16:35:25 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):5/22/2009 19:20:48 UTC
Database id:59645
Status Flags:none
Score (*):40.1627 (normalized score 0.0077)

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_id59645
person_id9
machineWinXP P4 1.8GHz
whatprime
notesPFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 19 Primality testing 3^255361-3^127681+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 N-1: 3^25Calling Brillhart-Lehmer-Selfridge with factored part 50.00% 3^255361-3^127681+1 is prime! (8220.931000 seconds) 5361-3^127681+1 265000/404739
modified2003-03-25 17:21:47
created2003-01-23 15:55:41
id67358

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