Prime Numbers — Gareth Jones / Serious Science

Mathematician Gareth Jones on number theory, why there are infinitely many of prime numbers and how to calculate the proportion of prime numbers up to any given n. Read the full text on our website: ’Let’s take the finite set of prime numbers and multiply them all together and call that integer n. So all the prime numbers we chose divide n. Now look at n 1, apply the fundamental theorem of arithmetic to that. It’s a product of prime numbers, so there mu