Rational And Its Sum

Clearly, \( 1 + \dfrac{1}{1} = 2 \).

Does there exist another positive rational number \(r \), such that the sum of the number and its reciprocal is an integer?

\[ r + \dfrac{1}{r} \in \mathbb{N}, r \neq 1, r \in \mathbb{Q}^+ \]

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