What was found
AT TOP OF DESCENT FROM FL410, THE NR 2 ENGINE FLAMED OUT. THE DESCENT CONTINUED TO FL260 WHEN THE ENGINE WAS RESTARTED. ENGINE OPERATION WAS NORMAL FOR THE REMAINDER OF THE FLIGHT. MAINTENANCE INSPECTED THE ENGINE PER FIM 71-01-00, PG 209 WITH NO DEFECTS NOTED. THE MAIN FUEL FILTER WAS REPLACED AS A PRECAUTION. FOLLOW-UP ENGINE RUN FOUND NO DISCREPANCIES AND THE AIRCRAFT CONTINUED IN SERVICE.