274207281 - 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 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:274207281 - 1
Verification status (*):External
Official Comment (*):Mersenne 49??
Unofficial Comments:This prime has 3 user comments below.
Proof-code(s): (*):G14 : Cooper, GIMPS, Prime95
Decimal Digits:22338618   (log10 is 22338617.477666)
Rank (*):4 (digit rank is 1)
Entrance Rank (*):1
Currently on list? (*):yes
Submitted:1/19/2016 14:00:00 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:120909
Status Flags:Verify
Score (*):56.1442 (normalized score 60901.8046)

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 218169, tag last modified 2024-10-21 21:37:25)

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)

The official credit line for this prime is "Cooper, Woltman, Kurowski, Blosser & GIMPS"

This prime was externally verified. From the press release:

The primality proof took 31 days of non-stop computing on a PC with an Intel I7-4790 CPU. To prove there were no errors in the prime discovery process, the new prime was independently verified using both different software and hardware. Andreas Hoglund and David Stanfill each verified the prime using the CUDALucas software running on NVidia Titan Black GPUs in 2.3 days. David Stanfill verified it using ClLucas on an AMD Fury X GPU in 3.5 days. Serge Batalov also verified it using Ernst Mayer's MLucas software on two Intel Xeon 18-core Amazon EC2 servers in 3.5 days.

Chris Caldwell writes (19 Jan 2016):  (report abuse)
This prime was first detected by a machine on September 17, 2015, but was not notice by a human until January 7th at 22:30 UTC--so this becomes the official discovery date.

Chris Caldwell writes (19 Jan 2016):  (report abuse)
Not every Mersenne number less than this one has been checked even once for primality by GIMPS, so it is unknown if this is the 49th Mersenne in terms of size. We will remove the question mark when GIMPS completes checking all lower exponents twice and comparing the residues.

Verification data:

Some of the very largest primes are externally verified by trusted groups or individuals and we do not reverify them at this site. This is one of those.
Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
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