The purpose of this study is to determine if Prostate-Specific Membrane Antigen (PSMA) positron emission tomography (PET) scans used in this study accurate and better at imaging participants' prostate cancer than the usual methods.

Inclusion Criteria:

• Patients with histologically confirmed prostate cancer, that is either: newly diagnosed OR progressive as defined by standard PCWG3 criteria. note that metastatic disease is defined by either bone scintigraphy or by CT or MRI, or a combination of these tests, but not exclusively by molecular imaging criteria.

Patients with newly diagnosed localized or metastatic prostate cancer are eligible, provided standard imaging (either bone scintigraphy, CT or MRI) demonstrates evidence of radiographic disease

Patient with progressive disease that is non-metastatic are eligible by biochemical progression: A minimum of three rising PSA values from a baseline that are obtained 1 week or more apart, or 2 measurements 2 or more weeks apart

Patients with progressive disease that is metastatic are eligible either by biochemical progression or radiographic progression or both

Patients are permitted to have had up to 2 months of prior hormonal therapy before entering this trial (and many therapeutic trials) and therefore, their progression criteria would apply to their pre-treatment imaging and PSA parameters Note: This criterion pertains to patients with newly diagnosed, untreated disease. This criterion does not apply to those who were already on therapy for metastatic CRPC.

• Karnofsky performance status of >/= 50 (or ECOG/WHO equivalent)
• Male (or transgender female) > 18 years of age
• Patient must be able to understand and willing to sign a written informed consent document
• Patient is anticipating starting a therapeutic strategy following imaging

Exclusion Criteria:

• Patient undergoing active treatment for non-prostate malignancy, other than skin basal cell or cutaneous superficial squamous cell carcinoma that has not metastasized and non-invasive bladder cancer
• Unable to lie flat, still or tolerate a PET scan

Potential research subjects will be identified by a member of the patient's treatment team, the protocol investigator, or research team at Memorial Sloan Kettering Cancer Center (MSK) in the Department of Medical Oncology, Radiology, Radiation Oncology or Surgery. Investigators will screen their patients' medical records for suitable research study participants and discuss the study and their potential for enrolling in the research study.

Memorial Sloan Kettering Cancer Center supports the international committee of medical journal editors (ICMJE) and the ethical obligation of responsible sharing of data from clinical trials. The protocol summary, a statistical summary, and informed consent form will be made available on clinicaltrials.gov when required as a condition of Federal awards, other agreements supporting the research and/or as otherwise required. Requests for deidentified individual participant data can be made beginning 12 months after publication and for up to 36 months post publication. Deidentified individual participant data reported in the manuscript will be shared under the terms of a Data Use Agreement and may only be used for approved proposals. Requests may be made to: crdatashare@mskcc.org.