The equation x2 − dy2 = N, with given integers d and N, unknowns x and y, is
called as Pell equation. In the literature, there are several methods for finding the
integer solutions of Pell equation such as the Lagrange-Matthews-Mollin algorithm,
the cyclic method, Lagrange’s system of reductions, use of binary quadratic forms,
etc.
The equation x2 − dy2 = N, with given integers d and N, unknowns x and y, iscalled as Pell equation. In the literature, there are several methods for finding theinteger solutions of Pell equation such as the Lagrange-Matthews-Mollin algorithm,the cyclic method, Lagrange’s system of reductions, use of binary quadratic forms,etc.
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