A congruent number can be defined as an integer that is equal to the area of a rational right triangle
(Koblitz 1993).
Numbers 
such that
 |
(1)
|
are also known as congruent numbers. They are a generalization of the congruum problem, which is the case 
.
For example, 
,
the smallest congruent numbers are
See also
Congruum,
Rational
Triangle
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References
Guy, R. K. "Congruent Number." §D76 in Unsolved
Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 195-197,
1994.Koblitz, N. Introduction
to Elliptic Curves and Modular Forms. New York: Springer-Verlag, 1993.Referenced
on Wolfram|Alpha
Congruent Number
Cite this as:
Weisstein, Eric W. "Congruent Number."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CongruentNumber.html
Subject classifications
