Maths Most Famous Proof is a Lie @WrathofMath
Maths Most Famous Proof is a Lie  @WrathofMath
Uploaded May 2026 | Updated September 2026, 2 weeks ago
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What is math's most famous proof? It's certainly debatable, but one candidate is Euclid's 300 BC proof of the infinitude of primes. Famously, it was done by contradiction, making it an early example of such a powerful technique. But what if I told you that's a lie? That Euclid's proof wasn't by contradiction? I'm telling you: Euclid's proof wasn't by contradiction. #maths #mathematics

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SOURCES
Prime Simplicity by Michael Hardy and Catherine Woodgold
lawrencecpaulson.github.io/2021/11/24/Intuitionism.html
https://iep.utm.edu/intuitionism-math/
Euclid's Elements in Greek - The Greek text of J.L. Heiberg
Number Theory and its History by Oystein Ore
The Thirteen Books of Euclid’s Elements Translated by Thomas Heath

0:00 Intro
1:42 "Euclid's" Proof
3:17 Getting it Wrong
7:35 Getting Better and Worse
9:13 A Faithful Account
12:53 Why Bother?
18:54 Conclusion
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Math's Most Famous Proof is a Lie

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