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Equally spaced squares and some impossible identities

Published online by Cambridge University Press:  23 August 2024

G.J.O. Jameson
G.J.O. Jameson*
Affiliation:
13 Sandown Road, Lancaster LA1 4LN, e-mail: pgjameson@talktalk.net
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Extract

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.

Type
Articles
Information
The Mathematical Gazette , Volume 108 , Issue 572 , July 2024 , pp. 201 - 208
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Copyright
© The Authors, 2024 Published by Cambridge University Press on behalf of The Mathematical Association

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References

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