The number 1729 is also known as Hardy-Ramanujan number, or the least natural number that can be expressed as the sum of two cubes in two different ways:

\[1729 = 1^3 + 12^3 = 9^3 + 10^3\]

Then what is the least natural number that can be expressed as the sum of two squares of different natural numbers in two different ways?

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