As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
RIGHT INTAKE HEAT ILLUMINATED ON CLIMB-OUT, PERFORMED QRH AND ILLUMINATED AGAIN. RETURN TO MSP. MAINTENANCE CHECKED THERMISTORS AND OHMED CHECKED HEATER ELEMENTS OF RIGHT INTAKE. REPLACED RIGHT SHOE BOX AND RAN AIRCRAFT FOR SEVERAL MINUTES. OPS CHECK GOOD.