Is it possible?

Number Theory Level pending

\(n\) and \(n+1\) are two integers.

\((1)\) \(n^{2}\) and \((n+1)^2\) are divisible by a common integer(1 is not to be counted).

\((2)\) \(n^{3} \) and \((n+1)^{3}\) are divisible by a common integer(1 is not to be counted).

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