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> Mathematical Challenge 19: Settle the Riemann Hypothesis The Holy Grail of number theory.

Described to me by a number theorist as: "That's where number theorists go to die".

To be fair that was pretty much the same thing said about Fermat's Last Hypothesis until Wiles got cheeky in 1994 and made a hundred-page margin.

...or where the field will be reborn, once they come up with the appropriate definitions that make this problem tractable.