Repost with more info. Does this mean we aren’t compatible?

If you constantly run out of things to talk about with your Boyfriend in person and over text is that just not being compatible? I just don’t know what to say and he feels the same way. It’s a new relationship and sometimes it just gets awkward where we are in silence when we’re alone but then when we are with other people we are fine and can’t stop talking. We just don’t know what to say when we are alone. I try to tell stories bc we’ve already talked about all the getting to know each other stuff and what you want out of life. He doesn’t really make an effort to try to start conversation. He brought up breaking up because of it. Says we are just really different.