# 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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