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As a followup to the main video about how quantum computers factor large numbers to break encryption, I want to demonstrate how Shors algorithm would factor a real live number! Like, maybe you were bequeathed a bank vault full of pies, but the access code left to you was encrypted using the number 314191 and you cant get to the pies until you know the factors. Luckily I happen to have a working quantum computer. As a refresher, heres a rough overview how Shors algorithm factors large numbers quickly: for any crappy guess at a number that shares factors with N, that guess to the power p over 2 plus or minus one is a much much better guess, if we can find p. And we CAN find p almost immediately with a single (if complex) quantum computation. So, first we make some random crappy guess, like, I dunno, a hundred and one. Then we check to see if 101 shares a factor with 314191 - it doesnt. So our goal is to find the special power p for which 101to the p over 2 plus or minus 1, is a bett