My boyfriend (19/m) and i have only been together about 2 months, and he's already suggesting we sleep together, would it be prudish of me if i said no?

Ok, so, i'm 23 and in college. I'm dating a 19 year old guy, i know there's a bit of a gap in age, but i didn't even know he was 19 until after we started dating. It's been less then 2 months, like a week away from being 2 months.

Anyway, he's already suggesting we have sex. We kiss, and he always pushes it a lot. He's gotten more in depth with touching me. He constantly wants to make out, he constantly tries to seduce me. He's always kissing my neck or grabbing my butt, even in public. Even when we're out, he'll rug my leg under the table.

He makes dirty, sexual references all the time at me.

Even today, my parents are going on a honeymoon over the weekend, so i'll have the house to myself. He saw me texting them about it, he asked me and said that he could come over and keep me company while they're gone.

I mean, he's like a dog that constantly tries humping your leg.

I mean, i feel uncomfortable doing it, but i also don't want to be considered prudish either. I'm at a loss. What's the best way to approach this situation?

Tl;dr - My boyfriend wants us to have sex, but we've only been seeing each other a couple months