What was found
AFTER TAKEOFF, FOUND THAT THE NOSE GEAR UNSAFE LIGHT DID NOT EXTINGUISH. CYCLED THE GEAR, NO HELP. FOLLOWED THE COCKPIT OPERATING MANUAL AND RETURNED TO MSP WITHOUT FURTHER INCIDENT. GEAR INDICATIONS NORMAL FOR LANDING, BUT CALLED OUT EMERGENCY EQUIPMENT AS A PRECAUTIONARY MEASURE. REPLACED THE NOSE GEAR PROXIMITY SENSOR, ADJUSTED THE GAP AND GEAR SWING CHECKED OK.