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
A hardy perennial by Penny)
Penny writes:
"...1729 is the smallest number that can be expressed as the sum of two perfect squares in two different ways."
This is incorrect (for BOTH questions).
I would encourage people to VERIFY their solutions before citing some example from the internet.