Sum of 2 Squares in 2 Distinct Ways which is also Sum of Cubes/Historical Note

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Historical Note on Sum of 2 Squares in 2 Distinct Ways which is also Sum of Cubes

This result is attributed by David Wells in his Curious and Interesting Numbers, 2nd ed. of $1997$ to a source going by the name of Thayer, but it has not been possible to find out any further information.


Sources