277232917 - 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:277232917 - 1
Verification status (*):External
Official Comment (*):Mersenne 50
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):G15 : Pace, GIMPS, Prime95
Decimal Digits:23249425   (log10 is 23249424.669627)
Rank (*):3 (digit rank is 1)
Entrance Rank (*):1
Currently on list? (*):yes
Submitted:1/3/2018 19:10:49 UTC
Last modified:9/8/2025 22:12:40 UTC
Database id:124104
Status Flags:Verify
Score (*):56.2664 (normalized score 41754.4117)

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 3
Subcategory: "Mersenne"
(archival tag id 218966, 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 (3 Jan 2018):  (report abuse)
The official credit line for this prime is "Pace, Woltman, Kurowski, Blosser & GIMPS" This prime was externally verified. From the press release:
The primality proof took six days of non-stop computing on a PC with an Intel i5-6600 CPU. To prove there were no errors in the prime discovery process, the new prime was independently verified using four different programs on four different hardware configurations.
  • Aaron Blosser verified it using Prime95 on an Intel Xeon server in 37 hours.
  • David Stanfill verified it using gpuOwL on an AMD RX Vega 64 GPU in 34 hours.
  • Andreas Höglund verified the prime using CUDALucas running on NVidia Titan Black GPU in 73 hours.
  • Ernst Mayer also verified it using his own program Mlucas on 32-core Xeon server in 82 hours. Andreas Höglund also confirmed using Mlucas running on an Amazon AWS instance in 65 hours.

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, 0.0004 seconds to seek comments.
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