Why are Mersenne primes and perfect number related? | SoME contest entry скачать в хорошем качестве

Why are Mersenne primes and perfect number related? | SoME contest entry

In this video, I explain how Mersenne primes are related to perfect numbers, go over the Euclid half of the Euclid-Euler theorem, and make a bunch of really terrible "jokes". This video is my submission to the 3Blue1Brown Summer of Math Exposition contest. Consider checking out some other submissions; I'll attach a playlist link once one becomes available. If you like this video, please leave a comment and share it, especially if you would like to see more. In the meantime, if you are interested in music theory, jazz, or music in general, consider checking out my music theory channel (that also has some videos about physics and CS if you look back far enough 👀). Yes, I wrote the background music myself. Yes, it’s… inspired. Table of contents: 0:00 Introduction 1:04 Examining factors of perfect numbers 1:45 Euclid's proof 2:48 Sum of part t's factors 3:56 Seeing in geometric sequences 4:33 Putting it all together 6:52 What comes next? 7:35 Conclusion #SoME #MersennePrimes #PerfectNumber