As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
KBGR/EINN, IN CRUISE FLIGHT EXPERIENCED MODERATE VIBRATION FOLLOWED BY LEVEL 2 ALERT SELECT FADEC ALT NR 3. RETARDED THROTTLE HALF WAY & SELECTED NR 3 FADEC TO ALT. EGT CONTINUED TO RISE. IN FLIGHT ENGINE SHUT DOWN CHECKLIST WAS ACCOMPLISHED. EMERGENCY DECLARED, DIVERTED TO EINN. EMERGENCY FIRE & RESCUE EQUIPMENT WAS REQUESTED IN EINN. REMOVED AND REPLACED NR 3 ENGINE IAW WOA WORK ORDER D10113 AND WOA TASK CARD 0104.