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You can quickly produce such a table with Excel, for example. Put the numbers from 1-20 in column A, in cell B1, type: "=A1^(1/3)" (without the quotation marks), and copy down.
All numbers have cube roots (not necessarily integral cube roots) so every prime has cube roots.
Yes.
120 is the nearest cube: it is the cube of 1201/3 = approx 4.9324. What you probably wanted, but failed to ask for, was the nearest perfect cube. Then the answer is 125.
4.93242415
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