Henry Ernest Dudeney/Puzzles and Curious Problems/159 - The Year 1927

by : $159$

 * The Year $1927$
 * Can you find values for $p$ and $q$ such that $p^q - q^p = 1927$?
 * ''To make it perfectly clear, we will give an example for the year $1844$, where $p = 3$ and $q = 7$:
 * $3^7 - 7^3 = 1844$
 * Can you express $1927$ in the same curious way?