Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity.

I really believed that I was on the right track, but that did not mean that I would necessarily reach my goal

I never use a computer.

However impenetrable it seems, if you don't try it, then you can never do it.

There are proofs that date back to the Greeks that are still valid today.

I was so obsessed by this problem that I was thinking about it all the time - when I woke up in the morning, when I went to sleep at night - and that went on for eight years.

Just because we can't find a solution it doesn't mean that there isn't one.