Abstract: A combination of four quarks and one antiquark (a "pentaquark") can be color neutral, motivating both theoretical work on whether pentaquarks exist as bound systems and experimental searches for pentaquark states. While many pentaquark states have the same quantum numbers as an ordinary baryon, some combinations have "exotic" combinations of baryon number and quark flavor. In the past 18 months or so, experimental claims have been made for three types of pentaquarks with exotic quantum numbers; however, the existence of these pentaquarks is by no means settled. I will give a critical review of the experimental evidence for and against the existence of pentaquarks. I will also touch on the interplay between theoretical predictions and experimental claims in these searches. Finally, I will describe ongoing searches that are essential in settling the claims for pentaquarks.