Patients in cohorts of 3-6 receive 3 vaccinations with rV-PSA at 4-week intervals (days 1, 29, 57, and 85) in the absence of disease progression or unacceptable toxicity. Response assessment is performed at eight weeks. Patients who discontinue therapy prior to eight weeks are considered unevaluable for response. If dose limiting toxicity is observed in 2 of 6 patients entered at a dose level, no further patients are entered at that level and the MTD is defined as the preceding dose level. Ten additional patients are treated at the MTD and receive granulocyte-macrophage colony-stimulating factor (GM-CSF) administered subcutaneously on day -1 through day 2 of each cycle. Patients who are HLA-A2 positive, have received all 3 rV-PSA vaccinations without unacceptable toxicity, and have been off study for at least 30 days due to disease progression may continue treatment with rV-PSA at the highest dose level and the addition of GM-CSF.