9 · 222555 - 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help)value
Description:9 · 222555 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):gk : Keller, Proth.exe
Decimal Digits:6791   (log10 is 6790.68579471053)
Rank (*):80061 (digit rank is 1)
Entrance Rank (*):1725
Currently on list? (*):no
Submitted:6/16/1998 07:21:25 CDT
Last modified:6/16/1998 07:21:25 CDT
Removed (*):2/1/1999 03:19:34 CDT
Database id:21698
Status Flags:none
Score (*):31.2397 (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 9*2^22555-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 9*2^22555-1 is prime! (17.061000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 11, base 1+sqrt(11)
modified2003-03-25 11:25:36
created2002-12-09 08:34:54

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