Community Mathematics Centre, CoMaC
(2018)
A pythagorasstyle diophantine equation and its Solution.
At Right Angles, 7 (3).
pp. 101012.
ISSN 25821873
Abstract
In this note, we study another equation which visually
resembles the Pythagorean equation and which too is
required to be solved over the positive integers: where m, n, k are positive integers and a, b, c are ‘squarefree’ positive integers, i.e., they are not divisible by any square number greater than 1. (So a, b, c are products of distinct prime numbers.) Any positive integer can be uniquely written in this form, i.e., as a product of a perfect square and a squarefree positive integer.
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