prime number
The number chosen by the England captain for his Real Madrid shirt is rich in mysterious connotations. But mathematician Marcus du Sautoy backs a new theory to explain why Beckham has plumped for number 23.

Can Dan Goldston and Cem Yalcin Yildrim repair the hole in their proof to make the biggest breakthrough in prime number theory for 80 years?

The Riemann Hypothesis is probably the hardest unsolved problem in all of mathematics, and one of the most important. It has to do with prime numbers  the building blocks of arithmetic. Nick Mee, together with Sir Arthur C. Clarke, tells us about the patterns hiding inside numbers.

Two computer science students and their professor prove testing for primes is easy  a result that has eluded mathematicians for centuries.

In 1998, Goldbach's Conjecture was shown by computer to be true for even numbers up to 400,000,000,000,000. In addition, some progress has been made towards formally proving the conjecture. As of this year, mathematicians with Goldbach fever have some extra incentive for their labours. 

We know there is infinitely many primes, but are there infinitely many twin primes? 

In issue No 1 we introduced GIMPS, the Great Internet Mersenne Prime Search. Well, on Sunday 24th August 1997 they did it again. 
Can every even number greater than 2 can be written as the sum of two primes? It's one of the trickiest questions in maths. 