Perfect
Cubes The Problem:
e.g.
If n = 24, n + 3 = 27, which is equal to 3^{3}. However,
n^{2} + 3 = 24^{2} + 3 = 579, which is between 6^{3}
and 7^{3}, so is not a perfect cube. If you can’t find a suitable value of n, can you prove that it’s an impossible search? Open the File as a Word Document

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