Modular Arithmetic With Fermat and Euler - Data Structures in Mathematics Math Foundations

Explore modular arithmetic through the lens of Fermat's and Euler's theorems in this 37-minute mathematics lecture. Delve into the application of these important theorems to simplify understanding of powers in modular arithmetic. Learn how to determine z mod 13 using Fermat's result for prime moduli and Euler's generalization involving the Euler phi function. Gain insights through explicit examples that illustrate the practical applications of these theoretical concepts. Enhance your understanding of number theory and its relevance to modern mathematics and cryptography.

Introduction
Powers of 8
Powers of 10
Challenge
Applications
Pure formats
Eulers Phi function
Eulers generalization