Find the smallest number that can be expressed as the sum of two (nonzero) perfect squares in two different ways.
And what if the two perfect squares must be nonzero, positive, and different?
(In reply to re(2): A hardy perennial
"To solve puzzles like this, there are three choices:
(1) Be a genius and solve it by intuition, like Ramanujan.
(2) Find the answer on the internet
(3) Write a program"
I would have to agree with that, except that some of us are able to simultaneously choose more than one of those choices.... and I don't find my answers on the internet ;-). J/K !