How old was/will your baby be on his or her first flight? How young of an infant would you feel comfortable taking on a plane?

I just found out about a really amazing professional opportunity next summer, but it would involve an overseas flight and baby would only be like 6 or 7 weeks old (assuming all goes well and he/she is born around the edd...). Absolutely insane to even think about?? My mom and/or husband would come with me...