Gangkhar Puensum Mountain Bhutan

A remote mountain (or triplet of mountains, actually) on the border between Bhutan and Tibet, Gangkhar Puensum is the highest point in Bhutan, and possibly the tallest mountain never summitted on the planet. Failed expedition after failed expedition went after the peak, and ultimately mountaineering in the region became completely forbidden. Few bother to make the trip to the mountain any more, making it a great place to ditch people all together.