If you're not a mathematician, you may not know that the ABC-conjecture is a vast generalization of Fermat's Last Theorem. (See http://en.wikipedia.org/wiki/Abc_conjecture) for details. Now there is a serious claim to have proved it. It will be fabulously exciting if it pans out, though experience suggests that that's quite a big if. It raises interesting questions about mathematical credit: if it is correct, then will Mochizuki become as big a star as Wiles? He wouldn't be the first to prove FLT, but he would have a completely different method, and would dispose of a large number of other conjectures at the same time (which have been shown to follow from ABC). My guess is that he would become a megastar -- for example, I think the proof would be widely reported in the mainstream media. 
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