Primfaktorzerlegung von 5 + 5 i {\displaystyle 5+5i} in Z [ i ] {\displaystyle \mathbb {Z} [i]} :
1 + i {\displaystyle 1+i} , 2 + i {\displaystyle 2+i} und 2 − i {\displaystyle 2-i} sind prim, weil ihre Normen in Z {\displaystyle \mathbb {Z} } prim sind.
![{\displaystyle \mathbb {Z} [i]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9ffa94e9e2e6d9e5e5373d5fafb954b902743fde)
