Do you have to be a British-born citizen to become British Prime Minister?

British prime minister: the highest official in charge of state administrative power on behalf of the British royal family and people, and the head of the British government. Under normal circumstances, the leader of the majority party in the House of Commons or the leader of the ruling Coalition will automatically become the candidate for the prime minister, and the candidate will officially become the prime minister after being confirmed by the king/queen.

Although there is no precedent, there is no restriction on the right of immigrants to run for public office.

So you don't have to be born in Britain, as long as you have British nationality.