As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
AT FL 340 ENG #1 EGT 273* ENG #2 EGT 403* ALL OTHER INDICATIONS NORMAL NO ECAM FAULT NO EXCEEDED LIMITATIONS-R/R TWO EGT PROBES IAW AMM 77-21-15 ON ENG #1. FAULT STILL REMAINED. FURTHER TROUBLESHOOTING REQUIRED. REF. LOGPAGE 3253000-2 FOR FURTHER TROUBLESHOOTING.