@Saoirse, that's the first time I've heard such a time. Maybe it's because your application date is so close to your entrance date.
In past years, I always tried to use up my tourist visa and then take out a rp (because at the time the visa was very expensive for us). The rp started at the date of application.
@Braveheart, it looks like owners of a 5 years residence permit will be dealing with the compulsory SGK. It costs 212 TL per month.