2005 IMO Shortlist Problem N4 - Orders and Exponents

In this video, we will solve Problem N4 from the 2005 International Math Olympiad Shortlist using number theoretic techniques such as orders and modular arithmetic. If you are confused about the concept of orders, see my previous YouTube video on that: https://www.youtube.com/watch?v=-QurlvDs2H8 Thanks for watching, and please subscribe if you would like to see more videos! My other videos: https://www.youtube.com/channel/UCalV4WkRXss44Cm_7dwlCLg