Pitcairn Island is definitely one of the most remote inhabited places on earth. It is only about two by three kilometers big and has currently 55 inhabitants. Most of them are direct decendents of the mutineers of the Bounty and several people from Tahitii, who accompanied them. They landed on this rocky, but fertile place in 1790. The island was not rediscovered by the British Navy before 1814. Only one male ( one of the mutineers) had survived, the rest of the population were women and children.
Today the connection to the rest of the world is a bit better: there is an established satellite link, a ship with supply goods from New Zealand arrives every three month, and there is the occasional cruise ship.
Going to the island is still adventureous, the surf is very rough, and the little harbor allows only the landing of the local long boat.