I once picked up a book on the Riemann Hypothesis and couldn't even understand the first page. LIttlewood said "I can't see any reason why it would be true." John Nash went nuts trying to solve it.
My pet theory is that Universes in which the Hypothesis is true are of probability zero. We just happen to live in this infinite coincidence. :-)
But if Fermat's Last Theorem can be proved then anything is possible.