A riser pressure relief apparatus includes a pressure relief valve with a valve member, an actuator, and a pilot valve assembly connected to a pressurized fluid. The valve member moves between a first position, which prevents a fluid flow through the side port, and a second position, which permits the flow. The actuator includes an open port and moves the valve member from the first to the second position by supplying the pressurized fluid to the open port. The pilot valve assembly moves between a first configuration, which prevents a flow of the pressurized fluid to the open port, and a second configuration, which permits the flow. A valve part of the pilot valve assembly moves from a first to a second position based on a fluid pressure in the riser, which causes the pilot valve assembly to move from the first to the second configuration or vice versa.