Cleistocactus piraymirensis Cárdenas in Cact. Succ. J. (Los Angeles) 33: 78. 1961 sec. Kiesling & al. 2014
- ≡Seticleistocactus piraymirensis (Cárdenas) Backeb., Descr. Cact. Nov. 3: 13. 1963 syn. sec. Kiesling & al. 2014
- ≡Cleistocactus candelilla subsp. piraymirensis (Cárdenas) Mottram in Cactaceae Syst. Init. 13: 10. 2002 syn. sec. Kiesling & al. 2014
- =Cleistocactus muyurinensis F.Ritter in Taxon 13(4): 114. 1964 syn. sec. Kiesling & al. 2014