Some mathematics problems look simple, and you try them for a year or so, and then you try them for a hundred years, and it turns out that they're extremely hard to solve. There's no reason why these problems shouldn't be easy, and yet they turn out to be extremely intricate. Fermat's Last Theorem is the most beautiful example of this.
Andrew WilesIt's fine to work on any problem, so long as it generates interesting mathematics along the way - even if you don't solve it at the end of the day.
Andrew Wiles