What was found
IN CRUISE AT .66 MACH AND FL 350, ADJUSTED EPR FROM 1.44 TO 1.60, AFTER 30 SECONDS FURTHER INCREASED EPR TO 1.75. APPROX 1 MINUTE LATER THE NR 1 ENGINE FLAMED OUT. DECLARED AN EMERGENCY WITH INTENT TO LAND. RAN ENGINE FLAME OUT CHECKLIST, RELIGHT SUCCESSFUL AT FL290. CANCELLED EMERGENCY AND LANDED WITHOUT INCIDENT. MX PERFORMED A VISUAL INSPECT OF INLET AND EXHAUST AREAS, NO DEFECTS FOUND. CHECKED OVERSPEED GOVERNOR AND INTERNAL LEAK CHECK FAILED. R & R OVERSPEED GOVERNOR IAW SEI 187, 73-22-00. PERFORMED FULL GROUND RUN TEST IAW SEI 187, ALL OPS AND LEAK CHECKED GOOD. ACFT WAS TEST FLOWN AND THE ENGINE PASSED THE ALTITUDE ACCELERATION CHECK AT FL350.