Euler's and Fermat's Last Theorems, the Simpsons and CDC6600

Explore the fascinating world of number theory in this 32-minute video lecture that delves into Fermat's Last Theorem and Euler's conjecture. Discover the connections between these mathematical concepts and pop culture references like The Simpsons and the CDC6600 supercomputer. Learn about the simplest case of Fermat's Last Theorem (A^4 + B^4 = C^4) and follow along with a detailed proof. Gain insights into the historical context of these mathematical problems, their known results, and ongoing areas of research. Engage with challenging mathematical concepts while enjoying entertaining examples and clear explanations suitable for both casual viewers and dedicated math enthusiasts.