TSH is a pituitary hormone that is affected by so many variables that it is totally inadequate as the main diagnostic for thyroid status. At best it is an indicator, to be considered along with more important indicators such as symptoms, and also the levels of the biologically active thyroid hormones, Free T3 and Free T4. So the first thing you and your doctor should be considering is your symptoms. What symptoms do you have that indicate a thyroid problem?
I've been told that 2 to 3 is ideal
Why do you want to get your TSH increased?
There is no 'ideal' number that suits everyone.
As Gimel says FT3 and FT4 should also be tested. Many people feel best with these at least mid range or a bit above, but again there is no magic number that is perfect for everone.
Your magic number is where you feel good and have no symptoms.