What was found
DURING CLIMBOUT, THE LANDING GEAR DID NOT RETRACT, THREE GREEN AND THREE RED GEAR INDICAITON LIGHTS WERE ILLUMINATED. CYCLED THE LANDING GEAR HANDLE AND ALL INDICATIONS NORMAL. AIRCRAFT CONTINUED TO ORIGINAL DESTINATION AND LANDED WITHOUT INCIDENT. MAINTENANCE TROUBLESHOOTING WAS ABLE TO DUPLICATE THE DISCREPANCY. THE RIGHT NOSE LANDING GEAR DOOR DID NOT INDICATE FULLY OPEN. REPLACED THE RIGHT NOSE LANDING GEAR DOOR PROXIMITY SENSOR (39GA), OPERATIONAL CHECK OK.