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Pell's equation

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Pell’s equation[1] is a diophantine equation of the form

for a positive integer, not a square.

Generalized Pell equation

The generalized Pell equation[2] is

for a positive integer, not a square, and a nonzero integer.

See also


  1. Dušan Djukić, Pell’s Equation, ©2007 The Author(s) and The IMO Compendium Group.
  2. John P. Robertson, Solving the generalized Pell equation x 2 − Dy 2 = N, ©2004.

External links