@rustymufflers , need to clarify "appear to be good". Does that mean that you've had someone looking while you pressed the brake pedal and all 4 brake lights go on and off as appropriate when the brake pedal is pressed, checked both with and without the running lights on, not that you've removed the bulbs and tested them externally? The indicator can also come on if the bulbs are loose in the housings or if connectors are corroded or loose, or a wiring problem; hence the suggestion to have a following driver look for aberations. If the brake lights work properly and the BRAKE LAMP indicator is on, it is very likely you have a capacitor problem with your gauge cluster.
Sorry for the terminology - "must be ruled out" is a term that combines "is very likely" with "is very serious" and you must check carefully if it is the case and not go any further until you are sure it is not the case.
@Heineken &
@Briank are more expert, but my understanding is that the BRAKE LAMP indicator normally comes on for a couple of seconds and then goes out as part of the initial self test. If you have a blown brake bulb, the BRAKE LAMP indicator will illuminate when you subsequently press the brake pedal, or if you still had the brake pedal pressed from starting, it will remain lit after the rest of that cluster has completed the lamp test. Thus to test it, you keep your foot off the brake pedal and keep the car still with the e-brake while starting. Then press the brake pedal to see if the BRAKE LAMP indicator comes on
If you start the car and the BRAKE LAMP remains lit after the self test, without pressing the brake pedal, or comes on again before the brake pedal has been pressed, it is most likely a capacitor problem with the dashboard.
Also, if you have LED's installed and the sensor bypassed, and the BRAKE LAMP indicator comes on, it's also very likely to be the cluster capacitor problem that could lead to a fire.
Hope that clarifies.