Rational And Its Sum
Number Theory
Level
2
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?
\[ r + \dfrac{1}{r} \in \mathbb{N}, r \neq 1, r \in \mathbb{Q}^+ \]
by
Calvin Lin