Consecutive integers and boxes

Logic Level 2

\[\large 1 \; \underbrace{\square \; 2 \; \square \; \cdots \; \square \; n \; \square}_{n \text{ number of }\square\text{'s}} \; (n+1) = n+ 2 \]

What is the minimum value of the positive integer \(n>1\) such that we can fill in all the boxes above by using at least one of the four mathematical operators ( \(+, -, \times , \div \) ) and the equation holds true?

Note: Order of operations (BODMAS) applied.

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