232582657 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: 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:

Description:232582657 - 1
Verification status (*):External
Official Comment (*):Mersenne 44
Unofficial Comments:This prime has 2 user comments below.
Proof-code(s): (*):G9 : Boone, Cooper, GIMPS, Prime95
Decimal Digits:9808358   (log10 is 9808357.095431)
Rank (*):10 (digit rank is 1)
Entrance Rank (*):1
Currently on list? (*):short
Submitted:9/4/2006 22:33:48 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:78470
Status Flags:none
Score (*):53.6275 (normalized score 5548.1191)

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 8
Subcategory: "Mersenne"
(archival tag id 187005, tag last modified 2023-03-11 15:53:59)

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.

Curtis Cooper writes (11 Sep 2014):  (report abuse)
The computer that discovered M32582657 was commwd-102--04l. It was in Wood 102, a computer lab of 20 computers for the Department of Communication at CMSU. Coincidentally, the computer that discovered M30402457 was commwd-102--07l, also in Wood 102!

Chris Caldwell writes (18 Jan 2015):  (report abuse)
Every Mersenne number less than this one has been checked once for primality by GIMPS (by December 25, 2010), and then checked again (GIMPS, November 8, 2014). Single checks have a relatively high error rate (a couple percent), but after a second check the residues from the two checks can be compared so the the error rate is extremely small.

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1 2 32582657 -1 2>&1 [Elapsed time: 15.996 seconds]
modified2020-07-07 22:30:42
created2006-09-12 04:52:02

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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