Well you know most of these breakthroughs happen in people's youth.
I grew up doing puzzles, but I don't have your mathematical ability. I solved rubik's cube on the second day I had it when it first came out - nothing like your kind of challenges. (I do it upside down to the solutions that are now online.) But I've carved out a niche using my ability to turn problems around in my head, to rethink the way people work with children in poor communities to be far more effective - and this will affect millions of children in places like Kenya, El Salvador, Sri Lanka... So... even if you don't solve one of the classics or whatever, there are things you can do with that active mind of yours that are probably hidden from you now.
Well, your mind for maths leaves me well behind.
'Solve it' in 10 seconds might mean he memorised the patterns after looking up the answers. Like a trained monkey. More impressive if he worked it out himself.
I get that. I realised i had to write down patterns. I picked it up again recently to use in a workshop in africa. I couldn't remember how to do it so i grabbed a piece of paper & wrote down permutations. Solved it. Then looked at the piece of paper and it was my visa application letter for Uganda! Oops. What the hell would they think of the scribbles? I had to find a printer somewhere.
Dunno, but here's a list to get you started:<br />
I hope you do it