The GIMPS project has found a new Mersenne prime number: M42.

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Discussion Overview

The discussion centers around the recent discovery of a new Mersenne prime number by the GIMPS project, referred to as M42. Participants explore the implications of this discovery, the notation used, and the verification process involved in confirming the prime number. The conversation includes technical details about the nature of Mersenne primes and the specific number identified.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants celebrate the discovery of M42 as a significant achievement of the GIMPS project.
  • One participant points out a potential error in the notation, arguing that M42 is not the correct designation for the newly discovered prime, suggesting it should be referred to as M25964951.
  • Another participant agrees with the notation correction, clarifying that M25964951 is the 42nd Mersenne prime discovered, but not necessarily the 42nd in order of size.
  • Participants discuss the verification process, noting that the number has been confirmed using different software and architectures, with further verification pending.

Areas of Agreement / Disagreement

There is disagreement regarding the correct notation for the newly discovered Mersenne prime, with some participants asserting that M42 is a misnomer. While there is consensus on the significance of the discovery itself, the discussion remains unresolved regarding the proper naming convention.

Contextual Notes

Participants highlight the importance of precise notation in mathematical discussions, indicating that the designation of Mersenne primes can lead to confusion if not clearly defined. The conversation reflects the nuances in naming conventions and the verification process in mathematical discoveries.

T.Rex
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The GIMPS project is aimed to search (and find !) new Mersenne prime numbers.
It has just discovered a new huge prime number, named M42, which has been verified with a different software on a different computer architecture (a third verification is on the way).
It is the 8th Mersenne prime number found by the GIMPS.
(Mersenne prime numbers are the biggest proved prime numbers.)

This number is: [tex]M42 = 2^{25964951} - 1[/tex]

All details are available at: A new prime .

Regards,

Tony
 
Last edited:
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Awesome I heard a new one was probably discovered but good to see it's true.
 
I had their software on my computer before I cleaned it. Good to see a new one found.
 
M42 isn't prime. this number is the 42nd mersenne prime found, but its NOT M42. its M25964951, that's a notation error.

nowhere in the original press release or at www.mersenne.org does it call the 42nd discovered mersenne prime M42, it might not even be the 42nd mersenne prime in order of size. its just the 42nd confirmed mersenne prime discovered.
 
Last edited:
You are perfectly right !

The notation Mq means that q is a prime number. Here q=25964951 .
M25964951 is the 42nd prime Mersenne number ever found and we are not yet sure there is not another Mersenne prime before.

I used M42 because we used it in the GIMPS forum as a short way to name it and I forgot to change my vocabulary when talking in this forum.

Thanks for noticeing and fixing my mistake !

Tony
 

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