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Pell’s Equation

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Acewicz M., Pąk K.

Formalized Mathematics

2017

tom 25

nr 3

197-204

In this article we formalize several basic theorems that correspond to Pell’s equation. We focus on two aspects: that the Pell’s equation x2 − Dy2 = 1 has infinitely many solutions in positive integers for a given D not being a perfect square, and that based on the least fundamental solution of the equation when we can simply calculate algebraically each remaining solution. “Solutions to Pell’s Equation” are listed as item #39 from the “Formalizing 100 Theorems” list maintained by Freek Wiedijk at http://www.cs.ru.nl/F.Wiedijk/100/.

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1 Formalized Mathematics

1 Acewicz M.

1 Pąk K.

1 2017

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Pell’s Equation