Question: is 5 weeks between periods normal?
Answer: Is that bad? Don't freak out if your periods don't show up every 28 days. The sweet spot of four weeks is an approximation; anything between 21 and 35 days is considered normal. It's also fine if your cycles vary by a few days (e.g., they average 31 days apart, but some months there's a 28- or 35-day gap).