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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

## Notes

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

## External links

- Chu Wenchang, Regular polygonal numbers and generalized pell equations, Int. Math. Forum 2 (2007), no. 16, 781-802.