Ex messaged me, so I tell my bf?

Hey, so I’ve been in this relationship now for 1 month, dating for two, and my ex reached out today. He was being sexual and stuff, I wasn’t engaging I just told him i was in a relationship and I was happy and that I wanted to be happy with my bf. That I wasn’t going to cheat and basically just saying No to everything he kept asking for, Is this something I should mention to my bf? Edit: it’s not an ex, more like someone I used to hook up with. He wasn’t anyone I placed any importance on, would this make a difference? Also, I appreciate the advice. Thank you.