Honestly it all depends on the beer and the yeast used. I don't deal with calendars on any beer as the yeast really have no idea what day it is. When the beer is done, it's done.
The bigger the beer the longer time it needs to condition and carbonate but it may or may not ferment out any longer than any other beer, usually 7-10 days with an additional week to drop bright and clear. Most of my beers are packaged or kegged around the 14th day or a few after.
That being said, 5 weeks primary due to time/schedule is really no big deal but it doesn't mean it will take less time to carbonate. Carbonating and conditioning are two separate processes even though they can occur in the same vessel. Meaning- A big beer might be fully carbonated in 3 weeks but it's true flavor may not fully develop for another month or two. For example. I have brewed Denny's Vanilla Bourbon Porter several times (Delicious beer). It is generally fully carbonated in about 3-4 weeks but really begins to taste great after conditioning for 6 months or more!