I know we skipped this part in our lesson on Friday, but we were going to talk to you guys about a very intelligent boy who first encountered formal mathematics at age ten and by age 13 he had read through trig books and came up with his own theorems. We mention this in our lecture notes a bit but I recommend you read up on him more because he is a very intelligent person. "By the age of 17, Ramanujan conducted his own mathematical research on Bernoulli numbers and the Euler–Mascheroni constant. He received a scholarship to study at Government College in Kumbakonam, but lost it when he failed his non-mathematical coursework."

This is only a little of what he did. He was never introduced to the idea of formal proofs, so he would never prove any of his theorems because he didn't know how. Later on, when mathematicians saw his theorems and decided to see if they were true, it turns out that they could prove all of them true and that Ramanujan was correct in all of his thinking he just couldn't prove it. Amazing! In some references they consider him up there with Euler and Gauss it was just the fact that his thinking and theorems were even more advanced that is why we don't really hear about him. I suggest you read up on him more if you would like, he's a very smart and interesting man.

Here's the wikipedia link and I'm sure you can find more stuff on him in various other places.