Euler's Theorem and Fermat's Little Theorem

In this video, we introduce Euler's totient function and present Euler's Theorem and Fermat's Little Theorem from Number Theory and prove them as corollaries of Lagrange's Theorem of finite groups. We present how these theorems can be used to create simple primality tests. This is lecture 19 (part 3/3) of the lecture series offered by Dr. Andrew Misseldine for the course Math 4220 - Abstract Algebra I at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: https://drive.google.com/file/d/1fMGUE3Zi0YP-ppcfihIWTDyuMSvDn_xw/view This lecture is based upon Section 6.3 of Abstract Algebra: Theory and Applications (http://abstract.ups.edu/) by Tom Judson. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.