What was found
WENT TO PUT THE GEAR DOWN, RIGHT MAIN GEAR LIGHT DIDN'T ILLUMINATE. WENT AROUND, RAN THE QRH, CYCLED THE GEAR AND TROUBLE SHOT. TOWER SAID OUR GEAR APPEARED TO BE DOWN. WHILE TROUBLE SHOOTING, WITH GEAR DOWN AND FULL FLAPS, WE DIDN'T GET AND GEAR AURAL WARNING SOUNDS OR LIGHTS. INFORMED THE CREW AND PASSENGERS OF THE SITUATION, RETURNED TO HONOLULU AND LANDED SAFELY. CORRECTIVE ACTION: REPLACED RH MLG DOWNLOCK SWITCH ASSEMBLY. GROUND OPERATIONAL CHECK SATISFACTORY