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Why is this "Fundamental" to arithmetic?

Head to https://brilliant.org/PolyaMath/ for a free 30-day trial and 20% off the premium subscription! ___________________________________________________________________________ This video is about the uses and importance of the "Fundamental Theorem of Arithmetic" (also known as uniqueness of prime factorisation (UPF)) which finishes with a proof of the theorem. Further reading and motivation for the proof of UPF: https://www.dpmms.cam.ac.uk/~wtg10/FT... PolyaMath Community Discord Server: Discord:   / discord   Chapters: 0:00 Introduction 1:30 Why is UPF not trivial? 7:20 Why is UPF "fundamental"? 14:19 Proof of UPF 21:40 Conclusions (As pointed out by a comment), at 20:45 it should say "ka is less than 2p" rather than "kb is less than 2p" on the screen. ______________________________________________________________ Music: Music by Vincent Rubinetti Download the music on Bandcamp: https://vincerubinetti.bandcamp.com/a... Stream the music on Spotify: https://open.spotify.com/playlist/3zN... Candlepower by Chris Zabriskie is licensed under a Creative Commons Attribution 4.0 licence. https://creativecommons.org/licenses/... Source: http://chriszabriskie.com/divider/ Artist: http://chriszabriskie.com/