The Physics GRE is currently a required element of the graduate admissions process in nearly all U.S. astronomy programs; however, its predictive power and utility as a means of selecting successful applicants has never been examined. We circulated a short questionnaire to 271 people who have held U.S. prize postdoctoral fellowships in astrophysics between 2010-2015, asking them to report their Physics GRE scores (this should not in any way be interpreted as a belief that a prize fellowship is the best or only metric of success in astronomy). The response rate was 64%, and the responding sample is unbiased with respect to the overall gender distribution of prize fellows. The responses reveal that the Physics GRE scores of prize fellows do not adhere to any minimum percentile score and show no statistically significant correlation with the number of first author papers published. As an example, a Physics GRE percentile cutoff of 60% would have eliminated 44% of 2010-2015 U.S. prize postdoctoral fellows, including 60% of the female fellows. From these data, we find no evidence that the Physics GRE can be used as an effective predictor of success either in or beyond graduate school.