A good eater makes Mommy a bad sleeper

Luke is a healthy eater, and he is still waking every 2-3 hours to eat....through the night too. I keep waiting for this to end and for him to sleep longer stretches. Please! I think the longest stretch of sleep I've had since he was born is 4 hours. Let me tell you that 4 hours was bliss! Luke is getting close to 3 months old. I need to figure out a way of convincing him that kids his age sleep through the night!