logo
episode-header-image
Oct 2024
8m 6s

The Discovery of the Largest Prime Numbe...

Gabriel Hesch and Autumn Phaneuf
About this episode

In this exciting episode of Breaking Math, we explore the groundbreaking discovery of the largest prime number ever foundM136279841, a Mersenne prime with over 41 million digits! Join us as we dive deep into the story behind this astonishing mathematical achievement, led by Luke Durant, a volunteer from the Great Internet Mersenne Prime Search (GIMPS) project.

Discover how Mersenne primes work, why they’re so important to the world of mathematics, and how cutting-edge technology like GPUs has revolutionized the search for these massive numbers. We also discuss the critical role that prime numbers play in cryptography and online security, making this discovery relevant far beyond just the realm of theoretical mathematics.

Learn about the global collaborative effort that made this record-breaking discovery possible, and find out how you can join the hunt for the next giant prime! Whether you're a math enthusiast, a tech geek, or just curious about the wonders of numbers, this episode is packed with insights that will inspire you to think about prime numbers in a whole new way.

Key Takeaways:

  • The discovery of M136279841, a prime number with 41,024,320 digits.
  • The role of Luke Durant and the GIMPS project in pushing the boundaries of prime number research.
  • How GPUs are transforming the way we discover massive primes.
  • The importance of prime numbers in modern cryptography and technology.
  • The connection between Mersenne primes and perfect numbers.

Links Mentioned:

Become a patron of Breaking Math for as little as a buck a month

Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTok

Follow Autumn on Twitter and Instagram

Follow Gabe on Twitter.

Become a guest here

email: breakingmathpodcast@gmail.com

Up next
Nov 2024
What is Chaos Theory?
In this captivating episode of Breaking Math, hosts Gabriel and Autumn dive deep into chaos theory—a fascinating branch of mathematics that explores the behavior of complex systems highly sensitive to initial conditions. They break down the butterfly effect, revealing how tiny va ... Show More
13 m
Nov 2024
AI in the Lab: How GPT-4 is Changing Molecules and Models
In this episode of Breaking Math, we dive deep into the transformative power of large language models (LLMs) like GPT-4 in the fields of chemistry and materials science, based on the article "14 examples of how LLMs can transform materials science and chemistry: a reflection on a ... Show More
12m 11s
Oct 2024
The Fluid Dynamics of Sheep
In this episode of Breaking Math, we explore the unexpected link between sheep herding and fluid dynamics!  Did you know that the way sheep move in a herd is governed by the same mathematical principles as water flowing in a river? By following simple rules of alignment, cohesion ... Show More
15m 8s
Recommended Episodes
Jun 2025
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
Terence Tao is widely considered to be one of the greatest mathematicians in history. He won the Fields Medal and the Breakthrough Prize in Mathematics, and has contributed to a wide range of fields from fluid dynamics with Navier-Stokes equations to mathematical physics & quantu ... Show More
3h 23m
Oct 2023
A Mathematician Asks ‘Is Math Real?’
When math is based on abstract concepts, how do we know it’s correct? Dr. Eugenia Cheng takes on that question in a new book. The concept of math has been around for a long time, developing independently in many different cultures. In 1650 BC, the Egyptians were creating math tex ... Show More
33m 8s
Dec 2024
Adam Brown – How Future Civilizations Could Change The Laws of Physics
Adam Brown is a founder and lead of BlueShift with is cracking maths and reasoning at Google DeepMind and a theoretical physicist at Stanford.We discuss: destroying the light cone with vacuum decay, holographic principle, mining black holes, & what it would take to train LLMs tha ... Show More
2h 43m
Sep 2024
#450: Dark Matter Debate, Flawed Maths & Spinning Black Holes
This episode of Space Nuts is brought to you by Incogni...looking after your online privacy with no hassles. To check out our special Space Nuts deal, visit www.incogni.com/spacenuts Join Andrew Dunkley and Professor Fred Watson in this thought-provoking Q&A episode of Space Nuts ... Show More
26m 49s
Nov 2024
AI and the Future of Math, with DeepMind’s AlphaProof Team
In this week’s episode of No Priors, Sarah and Elad sit down with the Google DeepMind team behind AlphaProof, a new reinforcement learning-based system for formal math reasoning that recently reached a silver-medal standard in solving International Mathematical Olympiad problems. ... Show More
39m 21s
Sep 2024
How zero gave us mathematical and philosophical power | Talithia Williams
The abstract numeral that changed everything, according to mathematician Talithia Williams. Before the introduction of zero, mathematics was a tangible subject, where numbers held weight and substance. With zero came the concept of a mathematical “nothing;” it turned our solid un ... Show More
6m 15s
Sep 2024
The Hidden Secrets of Math: Invented or Discovered? (Part 2)
Where does math come from? Mathematicians are still debating whether math is an inherent part of nature or an invention of the human mind. Mathematics communicator and drag queen Kyne will guide you through the question of what math really is in this three-part Friday miniseries. ... Show More
13m 28s
Sep 15
The Life Scientific: Doyne Farmer
Doyne Farmer is something of a rebel. Back in the seventies, when he was a student, he walked into a casino in Las Vegas, sat down at a roulette table and beat the house. To anyone watching the wheel spin and the ball clatter to its final resting place, his choice of number would ... Show More
26m 28s
Dec 2023
Ep402 - Eugenia Cheng | Is Math Real?
Mathematician and author Eugenia Cheng visits Google to discuss her book “Is Math Real?: How Simple Questions Lead Us to Mathematics’ Deepest Truths.” The book aims to liberate math from its shackles to show how human curiosity, creativity, rule-breaking and seemingly silly quest ... Show More
57m 42s
Sep 2024
Quantum computers aren't what you think — they're cooler | Hartmut Neven
Quantum computers obtain superpowers by tapping into parallel universes, says Hartmut Neven, the founder and lead of Google Quantum AI. He explains how this emerging tech can far surpass traditional computers by relying on quantum physics rather than binary logic, and shares a ro ... Show More
12m 18s