Escobaria vivipara (Nutt.) Buxb. in Oesterr. Bot. Z. 98: 78. 1951 sec. Hunt 2016
- ≡Cactus viviparus Nutt., Cat. Pl. Upper Louisiana: 22. 1813 syn. sec. Guzmán & al. 2003
- =Mammillaria vivipara (Nutt.) Haw., Suppl. Pl. succ.: 72. 1819 syn. sec. Guzmán & al. 2003
- =Mammillaria radiosa Engelm. in Boston J. Nat. Hist. 6: 196. 1850 syn. sec. Guzmán & al. 2003
- =Mammillaria vivipara var. radiosa (Engelm.) Engelm. in Proc. Amer. Acad. Arts 3: 13. 1856 syn. sec. Guzmán & al. 2003
- =Mammillaria vivipara subsp. radiosa (Engelm.) Engelm. in Rep. U.S. Mex. bound. 2: 15. 1859 syn. sec. Guzmán & al. 2003
- =Mammillaria vivipara var. neomexicana Engelm. in Rep. U.S. Mex. bound. 2: 15. 1859 syn. sec. Guzmán & al. 2003
- =Mammillaria arizonica Engelm., Bot. California: 244. 1876 syn. sec. Guzmán & al. 2003
- =Cactus radiosus (Engelm.) J.M. Coult. in Contr. U.S. Natl. Herb. 3: 120. 1894 syn. sec. Guzmán & al. 2003
- =Cactus radiosus var. alversonii J.M. Coult. in Contr. U.S. Natl. Herb. 3: 122. 1894 syn. sec. Guzmán & al. 2003
- =Mammillaria neomexicana (Engelm.) A. Nelson, Man. Bot. Rocky: 327. 1909 syn. sec. Guzmán & al. 2003
- =Coryphantha vivipara (Nutt.) Britton & Rose, Ill. Fl. N. U.S. ed. 2. 2: 571. 1913 syn. sec. Guzmán & al. 2003
- =Coryphantha radiosa (Engelm.) Rydb., Fl. Rocky Mts.: 581. 1917 syn. sec. Guzmán & al. 2003
- =Coryphantha aggregata Britton & Rose, Cactaceae (Britton & Rose) 4: 47-48. 1923 syn. sec. Guzmán & al. 2003
- =Coryphantha arizonica (Engelm.) Britton & Rose, Cactaceae (Britton & Rose) 4: 45. 1923 syn. sec. Guzmán & al. 2003
- =Coryphantha neomexicana (Engelm.) Britton & Rose, Cactaceae (Britton & Rose) 4: 45. 1923 syn. sec. Guzmán & al. 2003
- =Coryphantha bisbeeana Orcutt, Cactography 3. 1926 syn. sec. Guzmán & al. 2003
- =Escobaria bisbeeana (Orcutt) Borg, Cacti (Borg): 305. 1937 syn. sec. Guzmán & al. 2003
- =Coryphantha fragans Hester, Desert Pl. Life 13. 1941 syn. sec. Guzmán & al. 2003
- =Coryphantha vivipara var. arizonica (Engelm.) W.T. Marshall, Desert Bot. Gard. Arizona, Sci. Bull. no. 1: 94. 1950 syn. sec. Guzmán & al. 2003
- =Escobaria aggregata (Britton & Rose) Buxb. in Oesterr. Bot. Z. 98: 78. 1951 syn. sec. ???
- =Escobaria neomexicana (Engelm.) Buxb. in Oesterr. Bot. Z. 98: 78. 1951 syn. sec. Guzmán & al. 2003
- =Escobaria vivipara (Nutt.) Buxb. var. vivipara in Oesterr. Bot. Z. 98: 78. 1951 syn. sec. ???
- =Escobaria radiosa (Engelm.) Gerhart Frank in Kakteen And. Sukk. 11: 157. 1960 syn. sec. Guzmán & al. 2003
- =Coryphantha vivipara var. neomexicana (Engelm.) Backeb., Cactaceae (Backeberg) 5: 2999. 1961 syn. sec. Guzmán & al. 2003
- =Coryphantha vivipara var. radiosa (Engelm.) Backeb., Cactaceae (Backeberg) 5: 2998. 1961 syn. sec. Guzmán & al. 2003
- =Coryphantha vivipara var. alversonii (J.M. Coult.) L.D. Benson, Cacti Ariz., ed. 3: 26. 1969 syn. sec. Guzmán & al. 2003
- =Coryphantha vivipara var. bisbeeana (Orcutt) L.D. Benson, Cacti Ariz., ed. 3: 25. 1969 syn. sec. Guzmán & al. 2003
- =Mammillaria fragans (Hester) Weniger, Cacti Southw. (Austin): 132. 1970 syn. sec. Guzmán & al. 2003
- =Escobaria vivipara var. neomexicana (Engelm.) Buxb., Kakteen 50-51: C VIIIc. 1973 syn. sec. Guzmán & al. 2003
- =Escobaria vivipara var. bisbeeana (Orcutt) D.R. Hunt in Cact. Succ. J. Gr. Brit. 40: 13. 1978 syn. sec. Guzmán & al. 2003
- =Escobaria vivipara var. radiosa (Engelm.) D.R. Hunt in Cact. Succ. J. Gr. Brit. 40: 13. 1978 syn. sec. Guzmán & al. 2003
- =Coryphantha vivipara f. sonorensis P.C. Fisch. in Cact. Succ. J. (Los Angeles) 52: 191. 1980 syn. sec. Guzmán & al. 2003
- =Coryphantha vivipara var. buoflama P.C. Fisch. in Cact. Succ. J. (Los Angeles) 52: 28. 1980 syn. sec. Guzmán & al. 2003