Richard Lipton has just proposed on his blog to discuss the following conjecture of Erdos as a polymath project: that there are no natural number solutions to the equation

with . Previous progress on this problem (including, in particular, a proof that any solution to this equation must have an extremely large value of , and specifically that ) can be found here.

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[…] Possible Polymath Project By kristalcantwell There is a proposal for a new Polymath project here. Also see this post. […]

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