 Pityriasis Rubra Pilaris PRP is a therapeutic challenge, and many different medication regimens exist to treat the condition. Clinical response is variable, and no single treatment has emerged as a leading therapy. Biologic agents have emerged as effective treatments for many skin diseases, including psoriasis. Given the clinical overlap between PRP and psoriasis, it is logical to attempt to use these agents for PRP. Since the majority of patients with PRP are unresponsive to current therapies, new treatment modalities must be evaluated. This study will evaluate the treatment of adult 30 years or older with a diagnosis of PRP, either subtypes 1 or 2. In this study, the safety and efficacy of alefacept will be evaluated in adult patients with PRP refractory to current treatments. Alefacept is a dimeric fusion protein containing the CD2 extracellular binding region of human leukocyte function antigen-3 LFA-3 linked to the Fc portion of human IgG1. The drug binds to the T-lymphocyte antigen CD2 and blocks its interaction with LFA-3 on antigen presenting cells in the body. The CD2LFA-3 interaction is a key co-stimulatory signal in the activation of T-lymphocytes central to the pathophysiology of psoriasis. It is theorized this interaction plays a role in the pathophysiology of PRP. Alefacept is currently approved for the treatment of adults with moderate to severe, chronic, plaque-type psoriasis. The medication is administered as weekly intramuscular injections for 12 week courses. In this study, a dose of 15mg alefacept will be administered intramuscularly at weekly intervals for 12 weeks. This is the dosing regimen currently approved for the treatment of psoriasis. Patients will be followed for a total of 24 weeks. 