classic proof by contradiction that infinitely many primes exist a few clarifications: 0:27 composite should be more clearly defined as being greater than 1. 1:50 the equations need a little fixing up (I wish I could edit this into the video). Two corrections here: 1) The 1s should be 1/2, 1/3, etc. 2) The (P-1) in the last line is wrong. It should be the prime immediately before P, not one less than P. Sorry for the errors!
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