Esurient means extremely hungry. It would be dangerous to leave your esurient brother in charge of the three dozen cupcakes you baked for a birthday party.
Esurient describes someone who's famished or capable of eating an unbelievable amount of food. That's why an esurient group of high school kids might consume an alarming number of pizzas, and a people-eating monster with an esurient glimmer in its eye would make you run the other way. The word implies a greediness that goes beyond mere hunger, and it comes from the Latin root word edere, "to eat."