Why should anyone care about primes? Well, prime numbers are important, not just in pure mathematics, but also in the real world. Various different, difficult problems in science lead to seemingly very simple questions about prime numbers. Unfortunately, these seemingly simple problems have stumped mathematicians for thousands of years, and are now some of the most notorious open problems in mathematics!

Oxford Research Professor James Maynard is one of the brightest young stars in world mathematics at the moment, having made dramatic advances in analytic number theory in recent years.

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