
Is 69 the only nice number?
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A nice number is a natural number such that its square and cube combined contain all digits exactly once, without needing to use any leading zeros. It is already known that 69 is the only nice number in base ten, and so far, no nice number has been found in any other base either.
This market resolves YES if it is proven that 69 is the only nice number in any base, and NO if it is proven that another nice number exists.
This question is managed and resolved by Manifold.
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