A Fried Egg with Watery Egg Whites

I bought some eggs the other day. I went to fry one of them and the white ran and separated into two parts. The inner part was more solid and formed a very distinct circle around the yolk. The outer portion spread out but didn't set up or ever become solid or crisp up. I tried another one. Same thing. I ate the latter. It didn't taste off, but the inner part of the white was mushy and the outer part was even worse. I think I'm gonna throw the rest of them out. I've never seen eggs like this. I looked a bit on the internet. Maybe they had been frozen at one point, I don't know. The other food in the fridge isn't frozen. If they were frozen they must have been frozen before I bought them. The pan was plenty hot.