2 · 375551 - 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:2 · 375551 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):gk : Keller, Proth.exe
Decimal Digits:36048   (log10 is 36047.2889453209)
Rank (*):58662 (digit rank is 1)
Entrance Rank (*):1266
Currently on list? (*):no
Submitted:8/12/2001 17:06:58 CDT
Last modified:8/12/2001 17:06:58 CDT
Removed (*):8/31/2003 10:40:33 CDT
Database id:2740
Status Flags:none
Score (*):36.407 (normalized score 0.0004)

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 2*3^75551-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2*3^75551-1 is prime! (1459.704000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 3, base 1+sqrt(3)
modified2003-03-25 11:24:35
created2002-12-19 18:05:07

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.