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89 · 27372 - 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.

Description:89 · 27372 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):D : Dubner, Cruncher
Decimal Digits:2222   (log10 is 2221.14251804151)
Rank (*):96740 (digit rank is 20)
Entrance Rank (*):3427
Currently on list? (*):no
Submitted:1994
Last modified:1994
Removed (*):5/1/1996
Database id:33484
Status Flags:none
Score (*):27.7641 (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_id33484
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 89*2^7372-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.92% 89*2^7372-1 is prime! (1.546000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 3, base 1+sqrt(3)
modified2003-03-25 11:25:59
created2002-12-08 20:53:51
id30727

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
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