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: 243112609 - 1 Verification status (*): External Official Comment: Mersenne 47?? Unofficial Comments: This prime has 2 user comments below. Proof-code(s): (*): G10 : Smith_E, GIMPS, Prime95 Decimal Digits: 12978189   (log10 is 12978188.5003329) Rank (*): 2 (digit rank is 1) Entrance Rank (*): 1 Currently on list? (*): short Submitted: 8/23/2008 01:33:38 CDT Last modified: 6/13/2009 12:51:37 CDT Database id: 85527 Status Flags: none Score (*): 54.484 (normalized score 116854.8329)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.

Mersenne (archivable *)

Prime on list: yes, rank 2
Subcategory: "Mersenne"
(archival tag id 187003, tag last modified 2013-02-05 07:54:28)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Chris Caldwell writes (15 Apr 2011): 

This was the 45th mersenne prime found (though it is not the 45th in order of size). See the GIMPS press release.

Chris Caldwell writes (13 Jun 2009): 

On April 12th, the 47th known Mersenne prime, 242,643,801-1, a 12,837,064 digit number was found by Odd Magnar Strindmo from Melhus, Norway. This new primes is smaller, so perhaps the present prime is the 47th in order of size...

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.

field value prime_id 85527 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 1 2 43112609 -1 2>&1 [Elapsed time: 11.978 seconds] modified 2011-12-27 16:48:46 created 2008-09-16 09:22:01 id 100522

field value prime_id 85527 person_id 9 machine External what prime notes This prime was first verified by Tom Duell (Burlington, MA, USA) and Rob Giltrap (Wellington, New Zealand), both of Sun Microsystems, using the Mlucas program by Ernst Mayer of Cupertino California USA. The verifications ran on 8 dual-core SPARC64 VI 2.15Ghz CPUs of a Sun SPARC Enterprise M5000 Server and 4 quad-core SPARC64 VII 2.52GHz CPUs of a Sun SPARC Enterprise M8000 Server in Menlo Park, CA, USA. The prime verification took 13 days. The prime was also independently verified by Tony Reix of Bull S.A. in Grenoble, France using 16 1.6 GHz Itanium2 CPUs of a Bull NovaScale 6160 HPC server and the Glucas program. Jeff Gilchrist of Carleton University in Ottawa, Canada has also verified the prime using up to 16 1.6 GHz Itanium2 CPUs of a server at SHARCNET, running the Glucas program by Guillermo Ballester Valor of Granada, Spain. modified 2008-11-16 12:15:22 created 2008-09-16 10:10:52 id 100524