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Problem of the Day #166: Cubic Properties September 1, 2011

Posted by Seungln in : potd , trackback

$9$ has an interesting property that its cube can be expressed as a sum of three different, nonzero cubes. ($9^3 = 8^3 + 6^3 + 1^3$, to be more specific.) What is the next smallest integer that has this property?

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