257885161 - 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:257885161 - 1
Verification status (*):External
Official Comment (*):Mersenne 48
Unofficial Comments:This prime has 2 user comments below.
Proof-code(s): (*):G13 : Cooper, GIMPS, Prime95
Decimal Digits:17425170   (log10 is 17425169.764839)
Rank (*):4 (digit rank is 1)
Entrance Rank (*):1
Currently on list? (*):short
Submitted:2/5/2013 13:53:05 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:111120
Status Flags:Verify
Score (*):55.385 (normalized score 32089.1244)

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 4
Subcategory: "Mersenne"
(archival tag id 215066, 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.

Chris Caldwell writes (19 Jan 2016):  (report abuse)
For information on the finding and verification of this prime, see http://www.mersenne.org/various/57885161.htm.

Chris Caldwell writes (8 Oct 2021):  (report abuse)
Every Mersenne number less than this one has been double checked and then verified.

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 1 2 57885161 -1 2>&1 [Elapsed time: 11.961 seconds]
modified2020-07-07 22:30:23
created2013-02-05 14:05:02

Query times: 0.0006 seconds to select prime, 0.0004 seconds to seek comments.
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