Abstract
1.
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Prove that the sum of the squares of 3, 4, 5, or 6 consecutive integers is not a perfect square.
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Give an example of 11 consecutive positive integers the sum of whose squares is a perfect square.
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© 2007 Birkhäuser Boston
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(2007). Advanced Problems. In: 104 Number Theory Problems. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4561-8_3
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DOI: https://doi.org/10.1007/978-0-8176-4561-8_3
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4527-4
Online ISBN: 978-0-8176-4561-8
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