89 · 256968 - 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:89 · 256968 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g106 : Kuechler, Proth.exe
Decimal Digits:17152   (log10 is 17151.026182992)
Rank (*):75604 (digit rank is 2)
Entrance Rank (*):2701
Currently on list? (*):no
Submitted:7/19/2000 12:49:58 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):12/26/2000 12:23:54 UTC
Database id:11064
Status Flags:none
Score (*):34.1108 (normalized score 0)

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_id11064
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 89*2^56968-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 89*2^56968-1 is prime! (110.266000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 3, base 1+sqrt(3)
modified2003-03-25 17:25:12
created2002-12-11 07:57:45
id37323

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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