What was found
DURING CRUISE FL 340, NR 1 ENG BEGAN TO LOSE PWR AS EVIDENCED BY DECREASING EPR AND RPM IND. APPLIED ENG AND SCOOP ANTI-ICE, EPR AND RPM'S CONTINUED TO DROP. AFTER 5 MIN RPM DROPPED TO APPROX 85 PERCENT N2. AS RPM DECREASED NR 1 FUEL PRESS IND DROPPED BELOW 0 PSI TO APPROX -5 PSI. OPENED ALL X-FEEDS, TURNED ON ALL PUMPS, FUEL PRESS REMAINED -5 PSI. ENG RPM CONT TO DECREASE AND NR 1 ENG FLAMED OUT. PERFORMED ENG FAILURE CHKLST, ENG AND RE-LIT AND ACCEL TO IDLE. WHEN ADVANCED THROTTLE ENGINE FLAMED OUT AND WOULD NOT RE-START. PERFORMED CHKLIST AND SECURED ENGINE AT 0937Z. R/R'D NR 1 ENG 2 STAGE FUEL PUMP IAW MM 73-10-1. LEAK AND OPS CHK NORM DURING ENG RUN IAW MM 72. REPLACED DOOR PER MM 32-14-05.