I was told by one of my friends that any given positive integer can be expressed in the form of $x^y + y^x$ where x & y are integers.
For example: 17 = $2^3+3^2$
Surprisingly,this could be done for any number. Now he gave me some another number (like 23421) and asked me to find out the values of x & y.
I racked my brain but couldn't get it. Can any one please explain, how is this possible and how to get the values of x & y