Is the pump running at times when no water is being used?
Have you watched the pressure gauge to see if the pressure falls when no water is being used?
If it does, shut off the water to the house past the pressure tank and see if it still falls. If it does you have a leak on the well side of the pressure tank. Probably in the drop pipe going down the well and it could be adding air to the water.
The pump can't/won't lose prime as long as the pump comes on when the pressure falls to the cut in switch setting.
I doubt this air is caused by the pressure tank.