Just before the crucial scene, the PM unbuttons his already open jacket.
When the PM kicks his desk, there are already marks from previous takes on the desk.
In the opening scene, a telephone rings with the single tone used in North America; British phones ring with a double tone.
The plan hinges on the ability of the Prime Minister to be able to perform a sex act with an animal. The plan to fake it hinges on finding a body double with the ability to perform the act who also has the same body type.