Find the smallest number that can be expressed as the sum of two (nonzero) perfect squares in two different ways.
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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 !