■ Fermat's Little Theorem | Modular arithmetic trick you need to know!

What's the remainder when 2^35 is divided by 17? What's the remainder when 4^532 is divided by 11? Answer these questions in mere seconds using my favourite modular arithmetic theorem - Fermat's Little Theorem! (Not to be confused with his last theorem..) Proofs of the theorem can be found here: https://en.wikipedia.org/wiki/Proofs_of_Fermat%27s_little_theorem Introduction to modular arithmetic video (Watch this first!): https://www.youtube.com/watch?v=-zEcHLdABfo Find the rest of the videos in this intro to modular arithmetic mini-series here: https://www.youtube.com/playlist?list=PLpw5dUNGvQBoG0t1Tnf_gYlWTn62XtuPW ------------ Subscribe to my youtube channel: https://youtube.com/mathsunboxed?sub_confirmation=1 Follow me on instagram: https://instagram.com/maths_unboxed Check out my Etsy store: https://www.etsy.com/uk/shop/CuriosityUnboxed