On solutions of ${\sum }_{i=1}^{n}1/x_i=1$ in integers of the form $2^a{k}^b$

Joel Louwsma

We give an algorithm that produces all solutions of the equation ${\sum }_{i=1}^{n}1/x_i=1$ in integers of the form $2^a{k}^b$, where $k$ is a fixed positive integer that is not a pow…