What is the smallest number n such that you can choose n distinct odd integers a_{1}, a_{2}, \ldots a_{n}, none of them 1, with \frac{1}{a_{1}}+\frac{1}{a_{2}}+\ldots+\frac{1}{a_{n}}=1?
What is the smallest number n such that you can choose n distinct odd integers a_{1}, a_{2}, \ldots a_{n}, none of them 1, with \frac{1}{a_{1}}+\frac{1}{a_{2}}+\ldots+\frac{1}{a_{n}}=1?