Vicky Whitehead is Lecturer in the Mathematical Institute at Oxford University. She spends her time doing maths, teaching maths and talking maths to anyone who will listen. At Maths in Action Vicky will investigate the incredible prime numbers that have intrigued, inspired and infuriated mathematicians for millennia. Vicky will describe recent progress towards proving the famous Twin Primes Conjecture and the very different ways in which these breakthroughs have been made, which reveal how mathematicians work.