# Factoring a cyclotomic polynomial mod p

How can I factor a cyclotomic polynomial into polynomials that are irreducible modulo p?

Factoring a cyclotomic polynomial mod p

How can I factor a cyclotomic polynomial into polynomials that are irreducible modulo p?

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2

It is quite easy:

```
sage: n = 11
sage: p = 3
sage: cyclotomic_polynomial(n).change_ring(GF(p)).factor()
(x^5 + 2*x^3 + x^2 + 2*x + 2) * (x^5 + x^4 + 2*x^3 + x^2 + 2)
```

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Asked: ** 2021-05-13 10:18:22 +0100 **

Seen: **136 times**

Last updated: **May 13 '21**

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