The moment Euclid touched infinity.
This is the proof that turned mathematician Marcus du Sautoy onto mathematics as a boy.
"It's the original moment of genius" he says "the moment mathematics began".
Euclid's proof, that we will never be able to list all the prime numbers that are out there in the universe of numbers, is proof that infinity exists.
The biggest prime number identified to date has nearly 13 million digits but, thanks to Euclid, we know there will always be one more.
Euclid (on Wikipedia)
Marcus du Sautoy, Simonyi Professor for the Public Understanding of Science and Professor of Mathematics at the University of Oxford.
Music of the Primes Marcus du Sautoy's web site.
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