On Wednesday 28 January, the school Maths Society was joined by students from Hammersmith Academy, Godolphin & Latymer and Sacred Heart High for a lecture given by Dr Vicky Neale of Balliol College, Oxford. Over 60 students gathered to hear Dr Neale talk us through ‘7 things you should know about prime numbers’. Starting with the fact that 1 is not a prime number, she then led students through increasingly complex mathematical observations to conclude with the twin prime conjecture. This conjecture was probably first posited over 2000 years ago, Dr Neale explained, but still remains unproven! Work on this conjecture is taking place on the website Polymath Projects – a new form of public academic collaboration, open to all.