113 · 2144866 - 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:113 · 2144866 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L10 : Ritschel, NewPGen, LLR
Decimal Digits:43612   (log10 is 43611.064430302)
Rank (*):63199 (digit rank is 1)
Entrance Rank (*):2185
Currently on list? (*):no
Submitted:5/27/2003 13:50:06 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):2/2/2004 05:36:21 UTC
Database id:64848
Status Flags:none
Score (*):36.9951 (normalized score 0.0003)

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_id64848
person_id9
machineLinux P4 2.8GHz
whatprime
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N+1 test using discriminant 3, base 1+sqrt(3) Primality testing 113*2^144866-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 113*2^144866-1 is prime! (461.320000 seconds)
modified2020-07-07 22:30:47
created2003-05-27 14:57:09
id69718

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