You, Me and The Legend of Question 6

1988 IMO question 6 is usually regarded as the HARDEST question. https://www.quora.com/What-is-the-toughest-problem-ever-asked-in-an-IMO

The Legend of Question 6, by Numberphile: https://youtu.be/Y30VF3cSIYQ

Here I present the solution that I was able to understand from Buzzorange: https://buzzorange.com/techorange/2020/03/06/the-legend-of-question-6/ So good!!!

Vieta jumping:
https://brilliant.org/wiki/vieta-root-jumping/
https://en.wikipedia.org/wiki/Vieta_jumping

Proof by contradiction:
sqrt(2) is irrational: https://youtu.be/BhFf0nJ5VOg
there are infinitely many primes: https://youtu.be/816JCX5tKD8

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