The Unlikeliness of Numbers Sharing Factors

What is the probability that two randomly selected integers have no common factors greater than 1? That is, that they are relatively prime. Solving this problem will require some laws of probability, infinite series, and the solution to the Basel problem. We look at the sum of reciprocal squares (riemann zeta at s=2) and more. #mathproblems #maths #mathematics

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0:00 Intro
1:27 Law of Complement
2:31 Joint Probability Law
3:39 Getting Started
7:38 The Infinite Product
9:09 Pulling a Rabbit
14:35 Finding the Probability