Coryphantha pycnacantha (Mart.) Lem., Cactées: 35. 1868 sec. Hunt 2016
- ≡Mammillaria pycnacantha Mart. in Nova Acta Acad. Caes. Leop.-Carol. German. Nat. Cur. 16: 325. 1832 syn. sec. Guzmán & al. 2003
- =Mammillaria conimamma Linke in Allg. Gartenzeitung 25: 239. 1857 syn. sec. Guzmán & al. 2003
- =Coryphantha connivens Britton & Rose, Cactaceae (Britton & Rose) 4: 34. 1923 syn. sec. Guzmán & al. 2003
- =Mammillaria andreae J.A. Purpus & Boed. in Z. Sukkulentenk. 3: 251. 1928 syn. sec. Guzmán & al. 2003
- =Coryphantha andreae (J.A. Purpus & Boed.) A. Berger, Kakteen (Berger): 271. 1929 syn. sec. Guzmán & al. 2003
- =Coryphantha conimamma (Linke) A. Berger, Kakteen (Berger): 272. 1929 syn. sec. Guzmán & al. 2003