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Aug 27, 2014 at 17:41 comment added Nate Eldredge @Mangara: Still, even if the problems look similar to contest problems, the experience of solving them is very different.
Aug 27, 2014 at 11:54 comment added JeffE What @Mangara said. It is constantly surprising to me just how many accessible questions are open. The fact that a question is easy to understand is no indication that it is easy to solve!
Aug 27, 2014 at 2:21 comment added Mangara I can only really speak for "the fact" my own field (computational geometry), but if we define an accessible problem as one whose problem statement can be easily understood by amateur mathematicians, many of the problems we study are indeed accessible.
Aug 27, 2014 at 1:25 comment added paul garrett @Mangara, I have some reservations about "accessible problems that are still unresolved". That this is usefully so is a pleasant optimism, but I doubt that it is matched "in the fact".
Aug 27, 2014 at 0:27 comment added Mangara Number theory, combinatorics and geometry (the areas Project Euler mainly draws from) actually have lots of accessible problems that are still unresolved.
Aug 26, 2014 at 23:10 history answered paul garrett CC BY-SA 3.0