3+ [ Examples and counterexamples. Constructions ]

Is there a natural number less than one hundred that can be represented as the sum of the squares of two different natural numbers in two different ways

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For example, $65=1^{2}+8^{2}=4^{2}+7^{2}$ or $85=2^{2}+9^{2}=6^{2}+7^{2}$.

## Answer

It exists.