Primfaktorzerlegung von 8 + 3 i {\displaystyle 8+3i} in Z [ i ] {\displaystyle \mathbb {Z} [i]} :
Also ist 8 + 3 i {\displaystyle 8+3i} prim in Z [ i ] {\displaystyle \mathbb {Z} [i]} .
![{\displaystyle \mathbb {Z} [i]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9ffa94e9e2e6d9e5e5373d5fafb954b902743fde)
ist prim in 
.