9 · 235647 - 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 · 235647 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):Z : Zarantonello, Smith_Joel, Smith_Gene, Parady, Noll, Brown
Decimal Digits:10732   (log10 is 10731.7704979434)
Rank (*):74327 (digit rank is 2)
Entrance Rank (*):15
Currently on list? (*):no
Submitted:1989
Last modified:1989
Removed (*):10/11/1999 12:33:55 CDT
Database id:17045
Status Flags:none
Score (*):32.659 (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_id17045
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 9*2^35647-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 9*2^35647-1 is prime! (42.636000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 13, base 1+sqrt(13)
modified2003-03-25 11:25:26
created2002-12-09 20:25:30
id35480

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.