Fermat's Last Theorem and the Mysteries That Remain

In this episode, first I'll explain the historical tale of Fermat's Last Theorem, and then show some other mysterious questions, including a conjecture Euler got wrong and the unsolved $1,000,000 "Beal conjecture"!

[Disclaimer: Do not copy any uses of fire that you may see in this episode].

Here's my previous episode about Pythagorean triples:    • Pythagorean Triples (and Quadruples) ...  

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This was filmed by Carlo Trappenberg.
Special thanks to Evan Clark and to all of my Patreon supporters:
Max, George Carozzi, Peter Offut, Tybie Fitzhugh, Henry Spencer, Mitch Harding, YbabFlow, Joseph Rissler, Plenty W, Quinn Moyer, Julius 420, Philip Rogers, Ilmori Fajt, Brandon, August Taub, Ira Sanborn, Matthew Chudleigh, Cornelis Van Der Bent, Craig Butz, Mark S, Thorbjorn M H, Mathias Ermatinger, Edward Clarke, and Christopher Masto, Joshua S, Joost Doesberg, Adam, Chris Reisenbichler, Stan Seibert, Izeck, Beugul, OmegaRogue, Florian, William Hawkes, Michael Friemann, Claudio Fanelli, The Green Way, Julian Zassenhaus, Bailey Douglass, Jan Bosenberg, Brooks Boutwell, David Irvine, que and George Sharabidze!
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If you want to mail me anything (such as any clocks/dice/etc. that you'd like to see in the background of Grade -2), here's my private mailbox address (not my home address). If you're going to send anything, please watch this short video first:    • You Can Now Mail Me Things to Put in ...  
Domotro
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In case people search any of these terms, some of the topics discussed in this episode are: Pythagorean triples, Pierre de Fermat, Fermat's Last Theorem, Euler's Sum of Powers Conjecture and similar questions in number theory, the Beal conjecture, Andrew Wiles, and much more!

DISCLAIMER: Do not copy any uses of fire, sharp items, or other dangerous tools or activities you may see in this series. These videos are for educational (and entertainment) purposes.