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pi has yet to be solved so i guess that pi is a impossible math problem.
That above meaning the digits of pi. Pi is an irrational number so its digits will go forever. Not sure if that's considered a math problem, though.
How about trisecting an angle using geometric constructions. That one hasn't been solved yet to my knowledge.
Squaring the circle - constructing a square and a circle which have the same area, would be another one that I believe is unsolvable.
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