What was found
IN CRUISE NR 1 ENGINE SURGED THEN ROLLED BACK AND FLAMED OUT. CREW REQUESTED IMMEDIATE DESCENT FROM FL350 AND VECTORS TO NEAREST SUITABLE AIRPORT. CREW DECLARED AN EMERGENCY FOR THE NR 1 ENGINE WOULD NOT RELIGHT AND DIVERTED TO MLI. AIRCRAFT LANDED ON SINGLE ENGINE WITHOUT INCIDENT. USA JET MAINTENANCE CONTRACTED A MECHANIC WHO PERFORMED A FOD INSPECTION WITH NO DEFECTS FOUND. PERFORMED A VISUAL INSPECTION OF THE ENGINE AND FOUND P3 AIR LINE B-NUT LOOSE. SECURED B NUT AND PERFORMED ALL REQUIRED ENGINE RUNS IAW GMM VOLUME 3 "STALL/FLAME OUT PROCEDURE CHECKS" ALL ENGINE PARAMETERS ARE WITH IN LIMITS, RESTRICTED ALTITUDE TO FL330. AIRCRAFT RETURNED TO MAIN BASE AT YIP ON 1/12/08 AND MAINTENANCE PERFORMED A DETAILED INSPECTION ON NR 1 ENGINE IAW GMMK VOLUME 3 CHAPTER 72. PERFORMED GROUND RUNS IAW SEI 189 AND ALL PARAMETERS WITH LIMITS. AIRCRAFT RETURNED TO SERVICE.