57 · 229125 - 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 · 229125 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g127 : Andrews, Proth.exe
Decimal Digits:8770   (log10 is 8769.2544985691)
Rank (*):78631 (digit rank is 1)
Entrance Rank (*):3617
Currently on list? (*):no
Submitted:4/24/1999 16:34:51 CDT
Last modified:4/24/1999 16:34:51 CDT
Removed (*):8/4/1999 10:53:07 CDT
Database id:18684
Status Flags:none
Score (*):32.0329 (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_id18684
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 57*2^29125-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.98% 57*2^29125-1 is prime! (26.382000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 5, base 1+sqrt(5)
modified2003-03-25 11:25:30
created2002-12-09 15:31:49
id34883

Query times: 0.0004 seconds to select prime, 0.001 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.