Sooo tired... Can't sleep.

Baby is keeping me up all hours of the day right now. He's only 3 weeks and still wants to be held all the time while he sleeps, so I rarely can out him down without him waking up. Because of that, I've slept maybe 3 hours in the last 24, and those weren't consecutive. I'm so tired.... but I'm to the point of being so tired I can't sleep now that I actually have someone here to let me rest for a bit. Anyone else feel like this?