Cyclotomic Polynomial/Examples

Examples of Cyclotomic Polynomials

First Cyclotomic Polynomial

The first cyclotomic polynomial is:

$\map {\Phi_1} x = x - 1$

Cyclotomic Polynomial of Prime Index

Let $p$ be a prime number.

The $p$th cyclotomic polynomial is:

$\map {\Phi_p} x = x^{p - 1} + x^{p - 2} + \cdots + x + 1$