Abstract
An integer a is called a congruent number if and only if there are positive integer solutions to the system of equations \[ {x^2} + a{y^2} = {z^2}\quad {\text {and}}\quad {x^2} - a{y^2} = {t^2}.\] In this note congruent numbers are discussed and a table of known square-free congruent numbers less than 1000 is exhibited.
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