فهرست نشریات علمی دسترسی آزاد ایران

For $n>2$, there are noninteger rational numbers $r_i, \ i=1, 2, \ldots, n$ such that $\sum_{i=1} ^n r_i$ and $\prod_{i=1} ^n r_i$ are both integers. In this paper, while proving this proposition and with the help of the fundamental theorem of arithmetic and the properties of prime numbers, we will present an algorithm to generate numbers with this feature. Finally, we present a modified version of the original problem that requires further exploration.