¿Cuál es el menor entero positivo n tal que

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1. 8 (use: $n^2 -1 = (n-1)(n+1)$, and note that the given product is equal to $2 \cdot k^2 \cdot n \cdot (n+1)$, where k includes all common factors, now one of n or (n+1) should have an odd power of 2 as factor and other should be a a perfect square)