Prioritarianism is a family of views comparing distributions of well-being. What unites prioritarians is the thought that when deciding whether a distribution is overall better than another, the worse off have priority. There are different ways of making this idea more precise. However, some of these views have extreme aggregative implications and others have extreme anti-aggregative implications. This raises the question: can prioritarians accommodate partial aggregation (aggregating in some but not all cases) and avoid both extremes? In this paper, I explore and focus on a neglected anti-aggregation condition. I identify a family of views I call ‘bounded prioritarianism’ that meet this condition by placing an upper bound on the moral significance of benefits. I argue that anyone sympathetic to partial aggregation ought to opt for a version of bounded prioritarianism.