LEARN CONGRUENT NUMBERS

 CONGRUENT NUMBERS

An online congruent number definition

A number N is said to be congruent if there are two integers, x and y, that result in the expressions x2 + Ny2 and x2 - Ny2 being perfect squares.

The smallest known congruent number is 5 which satisfies 412 + 5(122) = 492 and 412 - 5(122) = 312.

The use of the square of a negative number results in another solution of 22 + 5(12) = 32 and 22 - 5(12) = (-1)2.

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