The Reimann Hypothesis, which deals with the distribution of prime numbers, was first put forth by mathematician Bernhard Reimann in 1859. It has yet to be fully proven and remains one of the most important unproven theories in mathematics. It's so important that the Cray Mathematics Institute is even offering a $1 million purse to whoever solves it.
Source: http://feeds.gawker.com/~r/gizmodo/full/~3/JWxO4yXHOzI/zeta-primes-doors-513394988
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