As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
CLIMBING THRU FL340 WITH ENGINES ALL AT CLIMB POWER WE FELT A BUMP LIKE MINOR TURBULENCE. THEN ANOTHER AND ANOTHER. WE SAW ENG 2 N1 FLUCTUATING SO WE SUSPECTED A COMPRESSOR STALL. AS WE WERE RUNNING THE QRH FOR ENG COMPRESSOR STALL WE RECEIVED LEVEL 2 ENG 2 LOOP A. WE THEN RAN ENG 2 LOOP A CHECKLIST BEFORE FINISHING THE COMPRESSOR STALL CHECKLIST. THE ENG LOOP CHECKLIST INDICATED NO FIRE. THE COMPRESSOR STALL CHECKLIST HAD US ADVANCE #2 ENG SLOWLY. ALL INDICATIONS WERE NORMAL SO WE ELECTED TO LEAVE #2 AT IDLE THRU LANDING ROLLOUT.