Mammillaria muehlenpfordtii C.F. Först. in Allg. Gartenzeitung 15: 49. 1847 sec. Hunt 2016
- =Mammillaria celsiana Lem., Cact. Gen. Sp. Nov.: 41. 1839 syn. sec. Guzmán & al. 2003
- =Cactus muehlenpfordtii (C.F. Först.) Kuntze, Revis. Gen. Pl. 1: 260. 1891 syn. sec. Guzmán & al. 2003
- =Neomammillaria celsiana (Lem.) Britton & Rose, Cactaceae (Britton & Rose) 4: 112. 1923 syn. sec. Guzmán & al. 2003
- =Mammillaria neopotosina R.T. Craig, Mammillaria Handb.: 117. 1945 syn. sec. Guzmán & al. 2003