TotallyOriginallyCreatedByMe Number

Let \(\overline{a_1 a_2 a_3 \ldots a_n}\) be the smallest \(n\)-digit number greater than \(1\) with \(a_1, a_2, a_3, \ldots, a_n \ne 0 \) such that \( \large \displaystyle \sum_{k=1}^n a_k^{a_k} = \overline{a_1 a_2 a_3 \ldots a_n} \). What is the value of \( \displaystyle \prod_{k=1}^n a_k \)?

×

Problem Loading...

Note Loading...

Set Loading...