12189 · 225189 - 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:12189 · 225189 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g5 : Buddenhagen, Proth.exe
Decimal Digits:7587   (log10 is 7586.7305288571)
Rank (*):82175 (digit rank is 2)
Entrance Rank (*):3431
Currently on list? (*):no
Submitted:1/16/1999 11:35:22 CDT
Last modified:1/16/1999 11:35:22 CDT
Removed (*):4/30/1999 16:38:22 CDT
Database id:20019
Status Flags:none
Score (*):31.5836 (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.
machineWindows XP P4 1.8GHz
notesPrimality testing 12189*2^25189-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.95% 12189*2^25189-1 is prime! (19.739000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 5, base 1+sqrt(5)
modified2003-03-25 11:25:31
created2002-12-09 13:45:30

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.