When I was a bad owner, my turtle could go a month and pulled it off over and over for years, but now I feed him a few times a day. So I guess they can live over a month, my turtle is a red eared slider. I do get told that he must be very resilient and has a strong will to live, so mine could be extra awesome like that and thats why everyone says they only live 3,7 or 10 days without food. I had him since he was an infant and never took good care of him till later on and now hes really active and happy.