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 by Penny)

Penny writes,

*"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 !