---
tag: YK6C0RW2G4
kind: concept
name: Perron number
sources:
  - wikipedia: en:5362893@r1310962066
    locator: Perron number
    note: adopted
    mention: wikipedia://en/5362893
    sections: [Summary]
same_as:
  wikidata: Q7169663
  wikipedia: Perron number
inventory: [8T9K7NKDXZ]
---

## Summary

In mathematics, a **Perron number** is an algebraic integer α which is [[real|08J2M1JYAG]] and greater than 1, but such that its conjugate elements are all less than α in [[absolute value|0FFXKTKKQC]]. For example, the larger of the two roots of the [[irreducible polynomial|00X2A9G9W3]] $x^2 - 3x + 1$ is a Perron number.