Jets quarterback Aaron Rodgers became the fifth player to throw 500 career touchdown passes when he connected with Tyler Conklin on a 5-yard scoring pass in the second quarter of New York’s season-ending contest against the visiting Miami Dolphins on Sunday.The milestone touchdown throw comes in what could be the final game of Rodgers’ 20-year NFL career.Rodgers joins Tom Brady (649), Drew Brees (571), Peyton Manning (539) and Brett Favre (508) in the exclusive club.Conklin, a tight end, found a crease in the end zone and was wide open when Rodgers connected with him with 7:57 left in the second quarter. Rodgers joined his celebrating teammates in the end zone and Conklin gave him the ball.Rodgers threw No. 501 later in the second quarter when he hit wide receiver Allen Lazard on a 13-yard touchdown pass for a 15-6 lead on the Dolphins in East Rutherford, N.J.