Originally Posted by 13and3
The " socket" where the bulbs screws into has 2 connection points. One is the silver shell and the other is a copper colored tab at the very bottom of the base of the socket. Sometimes due to over-tightening when screwing bulbs in, the copper colored tab get pressed down to far and the base of the bulb you just installed does not make sufficient contact with the tab. Arcing occurs and it burns a tiny hole in the base of the bulbs letting the vacuum escape, and then the bulb burns out quickly. Try turning off the power at the breaker and then pulling the tab out so it sticks up slightly and then put a new bulb in it with out screwing it down so hard.
You don't need to flip the breaker. Be a man.