2 · 3165896 + 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 · 3165896 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):gb1 : Buechel, Keller, PRP, Proth.exe
Decimal Digits:79153   (log10 is 79152.8087029688)
Rank (*):46199 (digit rank is 1)
Entrance Rank (*):411
Currently on list? (*):no
Submitted:5/7/2003 15:23:59 CDT
Last modified:5/7/2003 15:23:59 CDT
Removed (*):1/30/2007 11:18:15 CDT
Database id:64636
Status Flags:none
Score (*):38.8337 (normalized score 0.0054)

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_id64636
person_id9
machineLinux P4 2.8GHz
whatprime
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor')
Running N-1 test using base 2
Primality testing 2*3^165896+1 [N-1, Brillhart-Lehmer-Selfridge]
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
2*3^165896+1 is prime! (1964.490000 seconds)
modified2003-07-12 13:12:12
created2003-05-08 08:59:14
id69508

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