In POW 2013-19, there was a typo in the assumption on \( a_1, \dots, a_{27} \). The inequality is now corrected to the equality.
Daily Archives: November 3, 2023
2023-19 Counting the number of solutions
Let \(N\) be the number of ordered tuples of positive integers \( (a_1,a_2,\ldots, a_{27} )\) such that \( \frac{1}{a_1} + \frac{1}{a_2} + \cdots +\frac{1}{a_{27}} = 1\). Compute the remainder of \(N\) when \(N\) is divided by \(3\).