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Date: 19-2-2020
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Date: 24-12-2020
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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
(2) |
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(3) |
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(4) |
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(5) |
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.
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