We describe a neglected algorithm, based on simple continued fractions, due
to Lagrange, for deciding the solubility of x
2 −Dy2 = N, with gcd(x, y) = 1, where D > 0
and is not a perfect square. In the case of solubility, the fundamental solutions are also
constructed
We describe a neglected algorithm, based on simple continued fractions, dueto Lagrange, for deciding the solubility of x2 −Dy2 = N, with gcd(x, y) = 1, where D > 0and is not a perfect square. In the case of solubility, the fundamental solutions are alsoconstructed
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