tdracer/Courtney,
No problem: 5 crew would be the absolute minimum - a first-flight profile is typically ~5 hours, with hardly a minute wasted and a high tempo workload throughout the whole aircraft. Even a well coordinated crew would find it difficult to complete the full profile in less time.
6 onboard is not unheard of - acceptable for the extra person for training purposes, but in general, yes, the crew is kept to a minimum, for reasons that are, sadly, obvious.