230402457 - 1
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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:230402457 - 1
Verification status (*):External
Official Comment:Mersenne 43?
Unofficial Comments:This prime has 3 user comments below.
Proof-code(s): (*):G9 : Boone, Cooper, GIMPS, Prime95
Decimal Digits:9152052   (log10 is 9152051.49888437)
Rank (*):6 (digit rank is 1)
Entrance Rank (*):1
Currently on list? (*):short
Submitted:12/15/2005 08:46:58 CDT
Last modified:3/15/2012 08:22:35 CDT
Database id:76545
Status Flags:none
Score (*):53.4157 (normalized score 22192.9408)

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 6
Subcategory: "Mersenne"
(archival tag id 187006, 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 (25 Dec 2005): 
This prime was found 12/15/2005, but not announced until 12/25/2005 so that it could first be verified by Tony Reix of Bull S.A. in Grenoble, France using 16 Itanium2 1.5 GHz CPUs of a Bull NovaScale 6160 HPC at Bull Grenoble Research Center, running the Glucas program by Guillermo Ballester Valor of Granada, Spain. See notes.

Chris Caldwell writes (9 Aug 2007): 
The complete decimal expansion can be found at the GIMPS site and it may be found as an English name at Noll's site. The number of 0's, 1's, ... 9's in the decimal expansion are respectively: 913468, 914272, 916362, 913997, 914191, 916441, 915744, 915905, 916856, and 914816.

Chris Caldwell writes (17 Mar 2012): 
Every Mersenne number less than this one has been checked once for primality by GIMPS (by December 25, 2010), but not twice. Since single checks have a relatively high error rate, this may not be the 43rd Mersenne prime by size. We will remove the question mark when GIMPS completes checking all lower exponents twice and comparing the residues.

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_id76545
person_id9
machineLinux P4 2.8GHz
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1 2 30402457 -1 2>&1
[Elapsed time: 21.353 seconds]
modified2005-12-25 13:52:15
created2005-12-25 03:22:00
id81945

Query times: -0.9992 seconds to select prime, 0.0007 seconds to seek comments.