57 · 26772 - 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:57 · 26772 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):Z : Brown, Noll, Parady, Smith_Gene, Smith_Joel, Zarantonello
Decimal Digits:2041   (log10 is 2040.3310054922)
Rank (*):99893 (digit rank is 7)
Entrance Rank (*):284
Currently on list? (*):no
Submitted:1989
Last modified:1989
Removed (*):3/1996
Database id:35253
Status Flags:none
Score (*):27.4994 (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_id35253
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 57*2^6772-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.93% 57*2^6772-1 is prime! (1.156000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 7, base 1+sqrt(7)
modified2003-03-25 11:26:00
created2002-12-08 20:39:28
id30609

Query times: 0.0005 seconds to select prime, 0.001 seconds to seek comments.
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