Well, they seem to have skimped a little on the fact-checking. When I was working on my Stargate projects, I went over all the BC-304s seen on the show, in case I made a model of one at some point, to check if the nameplates actually changed (they avoided showing them clearly, probably for stock footage reasons, and the white-on-gray text isn't super-legible under most conditions anyway). While the Daedalus, Odyssey, and Apollo were all numbered "02," I think someone eventually decided that was a mistake, because the Hammond was definitely marked "05." Presumably, it should've been "Prometheus- 01" (if the Prometheus had ever gotten its name painted on the side), "Daedalus- 02," "Odyssey- 03," "Apollo- 04," and "Hammond- 05."



