Gold If approached while asleep, it may awaken and angrily give chase in a groggy state of semi-sleep.
Crystal It will beat up anyone who makes it mad, even if it has to chase them until the end of the world.
Generation IV Sinnoh
Diamond/ Pearl/ Platinum It grows angry if you see its eyes and gets angrier if you run. If you beat it, it gets even madder.
It stops being angry only when nobody else is around. To view this moment is very difficult.
Sun It has been known to become so angry that it dies as a result. Its face looks peaceful in death, however.
Moon Some researchers theorize that Primeape remains angry even when inside a Poké Ball.
Ultra Sun It will never forgive opponents who have angered it. Even after it has beaten them down until they can't move, it never ever forgives.