---
tag: 0QG0Q3NDT9
kind: concept
name: Fundamental solution of Pell's equation
msc: [11D09]
sources:
  - url: https://en.wikipedia.org/wiki/Pell%27s_equation
    locator: lead section
---

## Summary

The fundamental solution of Pell's equation $x^2 - d y^2 = 1$ is its smallest solution in positive integers.
The [[definition of the fundamental solution|0KCYJSB9FW]] gives the precise form.