High Quality Content by WIKIPEDIA articles! In mathematics, specifically number theory, Tunnell's theorem gives a partial resolution to the congruent number problem, and under the Birch and Swinnerton-Dyer conjecture, a full resolution. The congruent number problem asks which rational numbers can be the area of a right triangle with all three sides rational. Tunnell's theorem relates this to the number of integral solutions to a few fairly simple Diophantine equations. The theorem is named for Jerrold B. Tunnell, a number theorist at Rutgers University, who proved it in 1983.

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