2^32582657 - 1

This prime's information:

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 9
Subcategory: "Mersenne"
(archival tag id 187005, tag last modified 2024-10-21 21:37:25)

User comments about this prime (disclaimer):

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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.