# Frobenius Equation in Two Variables

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The Frobenius equation in two variables is a Diophantine equation , where and . The Frobenius number of the coefficients and , where and are relatively prime, is the largest for which the equation has no non-negative solutions. Sylvester (1884) showed that .

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Contributed by: Izidor Hafner (April 2015)

Open content licensed under CC BY-NC-SA

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"Frobenius Equation in Two Variables"

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Published: April 2 2015