It' likely, if bulbs are OK that the turn signal switch is burned out. If the switch fails, it won't allow the brake light signal through to the brake light wiring. Go to:http://www.2carpros.com/first_things/no_brake_lights.htm for the 4 page analysis. See: "(American Car) Both Lower Brake Lights Not Working"
To determine if the switch is bad test the incoming and outgoing current. If brake light switch power is present at the turn signal switch but not at any outgoing brake light wires, the turn signal switch has probably failed. This is a Buick design issue because keeping your foot on the brake or if the brake switch sticks keeping the brake lights on, the circuit will fail due to amperage overload.
Sounds like it's not your bulb that is bad. It may be your brake switch isn't working.
Check your tow bar and trailer brake light wiring. It may be grounded. I had this problem with my 92 roadmaster wagon. Tom.
I have 05 with no brake lights
Buy the Chiltons or Haynes manual. It will walk you through the process.
you probably have a bad ground in the rear taillight assembly common problem
Have you checked the fuses?
Blown fuse or defective brake light switch.
Which one? There are two. One under the hood and one under the panel on the drivers side next to the emergency brake.
Remove retaining nut
Check sockets and grounds
The brake lights are accessed through the rear hatch. Find the panel on the rear sides of the car. Pop out the panel and access the brake lights. Replace the bulbs.
well i had the same problem on my da check your brake switch its located on the bottom of the brake pedal