A light emitting diode lamp is disclosed that includes a resin package that defines a recess in the shape of a solid polygon or another three-dimensional solid. The recess includes a floor, two side walls along the respective longer sides of the floor, and two end walls along the respective shorter sides of the floor. The two side walls define an angle therebetween greater than 3°, and the two end walls define an angle therebetween greater than 40°. A light emitting diode chip is positioned on the rectangular floor of the package.