How many prime numbers are there? Will we ever run out? Euclid's proof, elegant and beautiful in how simply and efficiently it deals with such a seemingly enormous problem, settled it once and for all. That's one of the coolest things about maths - once you prove something, it's been proved forever.
This video comes from a series of lessons about cryptography (prime numbers are hugely important to modern encryption algorithms).
How many prime numbers exist? (Euclid's proof) maths is fun
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