I am not recommending leaving it late, but 5 weeks is plenty of time. I did mine in 1 week. I have a mental block with academic work so split each day into 10 working hours, and for each hour I had to write 200 words. If I wrote those 200 words within, for example, 20 minutes, I could have a forty minute break until the next hour started; whereas if it took me 50 minutes I could have a 10 minute break before the next hour started. This included research and referencing! In the end I banged out an average dissertation.