2 · 364822 + 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 · 364822 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):gb : Buechel, Keller, Proth.exe
Decimal Digits:30929   (log10 is 30928.2550034336)
Rank (*):60667 (digit rank is 1)
Entrance Rank (*):112
Currently on list? (*):no
Submitted:1/19/1999 18:02:13 CDT
Last modified:1/19/1999 18:02:13 CDT
Removed (*):1/12/2003 15:42:42 CDT
Database id:4214
Status Flags:none
Score (*):35.9339 (normalized score 0.0002)

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.
machineWinXP Athlon 1.3GHz
notesPFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 2 Primality testing 2*3^64822+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2*3^64822+1 is prime! (332.758000 seconds)
modified2003-03-25 11:22:47
created2003-01-07 07:03:24

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