Hot water tank pilot goes out
I have searched the other questions, and didn't seem to find the same situation, so I am asking again. I have a 1991 (?) 40 gallon AO Smith Power Shot Energy Saver tank in a house that we purchased a few months ago. The tank worked fine until the last few days, and then the pilot goes out every day or so. It relites properly, and stays on through multiple cycles. The power vent is 3" PVC pipe direct to the outside, approximately 18 feet away, and the unit is in the basement with sufficient space around it. It seems that the thermocouple is OK due to multiple cycles, but that may not be the case. Gas pressure should be fine as the burner looks good, and the furnace operates satisfactorily. I realize that the tank is quite old, but am trying to avoid replacing it for obvious reasons. Should I start by replacing the thermocouple, or is there some other path to take? I operated the pressure relief valve and then snapped it back, but there is still a VERY slight dripping from the valve. It is connected by clear vinyl tubing to a floor drain. Does that have anything to do with the operation, or is it strictly for safety?