No, there is no minimum number of days you need to stop taking your contraceptive pill when taking it continuously for 3 months. It is often suggested to take a break for 3 days before continuing, but you can resume it sooner if needed. Just make sure not to stop taking the pill for more than 7 days in a row, even if you have been taking it continuously for several months. Also, it is safe to take the pill continuously for more than 3 months without any issues.