35 · 2191509 + 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:35 · 2191509 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g67 : Dodson, Proth.exe
Decimal Digits:57652   (log10 is 57651.497507658)
Rank (*):56759 (digit rank is 1)
Entrance Rank (*):192
Currently on list? (*):no
Submitted:6/25/2001 09:45:05 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):5/16/2005 07:51:30 UTC
Database id:592
Status Flags:none
Score (*):37.8563 (normalized score 0.0009)

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.
machineWinXP Athlon 1.3GHz
notesPFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 3 Primality testing 35*2^191509+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 35*2^191509+1 is prime! (441.034000 seconds)
modified2003-03-25 17:21:50
created2003-01-21 06:56:00

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.