prime number
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. 
You may think that searching for new prime numbers is a job for supercomputers. However, on 13th November 1996, Frenchman Joel Armengaud discovered a new one using his humble PC. 
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