2132049 - 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.

Description:2132049 - 1
Verification status (*):Proven
Official Comment (*):Mersenne 30
Proof-code(s): (*):S : Slowinski
Decimal Digits:39751   (log10 is 39750.7098974331)
Rank (*):58339 (digit rank is 1)
Entrance Rank (*):1
Currently on list? (*):no
Last modified:9/20/1983
Database id:2220
Status Flags:none
Score (*):36.7089 (normalized score 0.0005)

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: no, rank 22
Subcategory: "Mersenne"
(archival tag id 190675, tag last modified 2018-12-21 09:15:32)

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/llr.pl 1*2^132049-1 2>&1 Prime95 or Mprime are much better to test this Mersenne number !! Starting Lucas-Lehmer loop... 1*2^132049-1 is prime! Time : 23.743 sec. [Elapsed time: 24.00 seconds]
modified2020-07-07 17:30:39
created2008-08-06 19:14:32

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.