What was found
AFTER TAKEOFF DURING CLIMB, THE NR 1 ENGINE EGT BEGAN RISING RAPIDLY. THE NR 1 POWER LEVER WAS RETARDED TO MAINTAIN THE EGT WITHIN LIMITS. WITH ALL ENGINE EPRS MATCHED, THE NR 1 EGT WAS 250C ABOVE THE OTHERS. THE AIRCRAFT RETURNED TO ANC WITHOUT DIFFICULTY. MAINTENANCE INSPECTED THE ENGINE WITH NO DEFECTS NOTED. A PS4 LINE WAS RETORQUED AND THE FIREWALL CANNON PLUG FOR EGT WAS RESEATED. THE AIRCRAFT WAS RETURNED TO SERVICE. EXACT PART CAUSING DIFFICULTY TO BE DETERMINED.