What was found
DURING CRUISE LEVEL AT FL 360, 65 NM MILES SOUTH OF INTERSECTION, THE RT ENG OIL FILTER EICAS ANNUNCIATION DISPLAYED. ACCORDING TO CHECK LIST, REDUCED THRUST TO IDLE, THE ANNUNCIATION REMAIN DISPLAYED. FOLLOWING CHECK LIST, THE RT ENGINE WAS SHUTDOWN AFTER COOL DOWN PERIOD. ADVISED ATC, DUE TO ENGINE SHUTDOWN. WILL LAND AT ORIGINAL DESTINATION WITH NO OTHER INCONVENIENCE.