No, Prednisone is a steroid, not a pain reliever. Also, why are you taking Penicillin? It's a type of antibiotic which which works by inhibiting bacterial cell wall production, which is of no use to your toothache. Stop taking it immediately. I would not recommend starting a "regimen" of anything, since (no offense) you clearly do not have any knowledge about drugs. Again, I'm not trying to be mean or anything, but it really is not a great idea to be experimenting when it comes to things like this. You could possibly take two medications that interact and severly endanger your health. Just stick with a reasonable dosage of Tylenol, and maybe try an something like Orajel to numb the area.
Edit: My apologies, I glanced over the part about the abcess. I was under the impression that you took it upon yourself to take Penicillin thinking it would relieve tooth pain.