I have taken prednisone tabs, low dose for a week with no problems at all. You shouldn't either, especially since you are taking a tab every other day.
I checked out drug interactions for you and if you are otherwise healthy, Prevacid will not, nor does NOT have clinically significant interactions with drugs such as warfarin, antipyrine, indomethacin, ibuprofen, phenytoin, propranolol, prednisone, diazepam, clarithromycin, or terfenadine.
So you should be okay. Prednisone usually causes problems with long term use and massive doses.