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[Tony]: I thought wed have a look at some of the shortest papers that have ever been written. One of the sort of most famous ones was this one here by Lander and Parkin. Which you can literally see, look how short it is! Theres virtually nothing there. But the contents really good because it actually disproves a very long-standing conjecture that had held for hundreds of years. [Brady]: So now were just disproving with an actual example? [Tony]: Exactly, they were just proving the Euler conjecture, and what is the Euler conjecture? Well its kind of related to Fermats Last Theorem. Fermats theorem, what does it say? Youve got two numbers, a1 to the k plus a2 to the k equals b to the k. And basically it says there are no integers solutions for k greater than two. Okay, thats Fermats Last Theorem. Eulers conjecture was a generalization of this. Basically, you just take n of these guys, and again, now youre saying, Euler conjecture would be there are no integer solutions for k