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Equally spaced squares and some impossible identities
Published online by Cambridge University Press: 23 August 2024
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Consecutive squares are, of course, not equally spaced: the gap increases by 2 each time. However, it is quite possible to select three equally spaced squares, for example 1, 25, 49. Actually, such triples correspond to Pythagorean triples in a pleasantly simple way, which we will describe.
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- © The Authors, 2024 Published by Cambridge University Press on behalf of The Mathematical Association