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Congruent number problem

2014-6-15 17:37| view publisher: amanda| views: 1003| wiki(57883.com) 0 : 0

description: The question of determining whether a given rational number is a congruent number is called the congruent number problem. This problem has not (as of 2012) been brought to a successful resolution. Tun ...

The question of determining whether a given rational number is a congruent number is called the congruent number problem. This problem has not (as of 2012) been brought to a successful resolution. Tunnell's theorem provides an easily testable criterion for determining whether a number is congruent; but his result relies on the Birch and Swinnerton-Dyer conjecture, which is still unproven.
Fermat's right triangle theorem, named after Pierre de Fermat, states that no square number can be a congruent number.

up one:Littlewood_conjecturenext:Tunnell's theorem

Congruent number problem

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