What was found
AIRCRAFT WAS GROUNDED: EGT INCREASED RAPIDLY INTO AMBER RANGE ON RH ENGINE DURING CLIMB, CREW THROTTLED BACK TO AVOID REDLINE; FLIGHT DECLARED EMERGENCY AND DIVERTED TO LAS. REPLACED S1, S2, S3, AND S4 EGT PROBES (AALA202110118169, AALA202110112201, AALA202110119569) WITH SERVICEABLE UNITS IAW AMM 77-21-01, OPS CHECK GOOD.