Pyrrhocactus aconcaguensis F. Ritter, Succulenta, 1960, 108., 1960
Pyrrhocactus aconcaguensis v. orientalis F. Ritter, Succulenta (Netherlands): 109. 1960, 1960Pyrrhocactus andicola (F. Ritter) F F. Ritter, Succulenta, 1959, 131, 1959
Pyrrhocactus andicola v. descendens (F. Ritter) F. Ritter, Succulenta (Netherlands): 131. 1959, 1959Pyrrhocactus andicola v. mollensis (F. Ritter) F. Ritter, Succulenta (Netherlands): 131. 1959, 1959
Pyrrhocactus andicola v. robustus (F. Ritter) F. Ritter, Succulenta (Netherlands): 131. 1959, 1959Pyrrhocactus andreaeanus (Backeberg) F. Ritter
Pyrrhocactus aricensis F. Ritter, Taxon, 12. 32., 1963Pyrrhocactus armatus F. Ritter, Succulenta, 1960, 49., 1960
Pyrrhocactus aspillagae (Sohrens) F. Ritter, Succulenta, 1959, 131, 1959Pyrrhocactus aspillagai
Pyrrhocactus atrospinosus Backeberg, Descr. Cact. Nov. 3. 13., 1963Pyrrhocactus atroviridis F. Ritter, Succulenta, 1960, 89., 1960
Pyrrhocactus bulbocalyx (Werdermann) Backeberg, Cactac. Handb. Kakteenk. 3., 1959Pyrrhocactus bulbocalyx f. catamarcensis
Pyrrhocactus bulbocalyx f. sanjuanensisPyrrhocactus calderanus F. Ritter, Succulenta, 1961, 13., 1961
Pyrrhocactus carrizalensis F. Ritter, Taxon, 12. 33., 1963Pyrrhocactus catamarcensis (F. A. C. Weber) Backeberg
Pyrrhocactus centeterius A. Berger, Kakteen, 216, 345., 1929Pyrrhocactus chaniarensis F. Ritter, Kakteen in Südamerika, 3: 926, 1980
Pyrrhocactus chilensis (Hildmann) F. Ritter, Succulenta, 1959, 131, 1959Pyrrhocactus chilensis v. albidiflorus F. Ritter, Kakteen in Südamerika, 3: 927, 1980
Pyrrhocactus choapensis F. Ritter, Succulenta, 1960, 133., 1960Pyrrhocactus chorosensis F. Ritter, Succulenta, 121., 1960
Pyrrhocactus coliguayensis F. Ritter, Kakteen in Südamerika, 3: 929, 1980Pyrrhocactus confinis F. Ritter, Succulenta, 1961, 4., 1961
Pyrrhocactus crispus F. Ritter, Succulenta, 1959, 137., 1959Pyrrhocactus curvispinus (Bertero ex Colla) A. Berger, Backeb. & F. M. Knuth, Kaktus-ABC, 262, 1935
Pyrrhocactus curvispinus v. combarbalensisPyrrhocactus curvispinus v. pectorensis
Pyrrhocactus deherdtianus (Backeberg) F. Kattermann, Cact. Succ. J. (U. S. A.), 55 (3): 123: 1983Pyrrhocactus dimorphus F. Ritter, Suculenta 1, 3, 1962
Pyrrhocactus dubius Backeberg, Backeb. & F. M. Knuth, Kaktus-ABC, 263, 415., 1935Pyrrhocactus echinus F. Ritter, Taxon, 12. 33., 1963
Pyrrhocactus echinus v. minor F. Ritter, Taxon 12: 33., 1963Pyrrhocactus engleri (F. Ritter) F. Ritter, Succulenta, 1959, 131, 1959
Pyrrhocactus eriosyzoides (F. Ritter) F. Ritter, Succulenta, 1959, 131, 1959Pyrrhocactus eriosyzoides v. domeykoensis F. Ritter, Kakteen in Südamerika, 3: 938, 1980
Pyrrhocactus floccosus F. Ritter, Taxon, 12. 32., 1963Pyrrhocactus floccosus v. minor (F. Ritter) F. Ritter, Kakteen in Südamerika, 3: 939: 1980
Pyrrhocactus floribundus (Backeberg) F. Ritter, Kakteen in Südamerika, 3: 940, without full basionym ref.: 1980Pyrrhocactus froehlichianus (K. Schumann) Backeberg, Backeb. & F. M. Knuth, Kaktus-ABC, 262, 1935
Pyrrhocactus fusciflorusPyrrhocactus fuscus (Muehlenpf.) F. Ritter, Succulenta, 1959, 131, 1959
Pyrrhocactus garaventae (F. Ritter) F. RitterPyrrhocactus garaventai
Pyrrhocactus glaucescens F. Ritter, Taxon, 12. 33., 1963Pyrrhocactus gracilis F. Ritter, Succulenta, 1961, 129., 1961
Pyrrhocactus grandiflorus F. Ritter, Succulenta, 1960, 41., 1960Pyrrhocactus griseus Backeberg, Cactaceae, 3907, 1962, 1962
Pyrrhocactus heinrichianus (Backeberg) F. Ritter, Succulenta, 1959, 131, 1959Pyrrhocactus horridus (Colla) Backeberg
Pyrrhocactus horridus v. aconcaguensis (F. Ritter) F. Ritter, Kakteen in Südamerika, 3: 948: 1980Pyrrhocactus horridus v. mutabilis F. Ritter, Kakteen in Südamerika, 3: 946, 1980
Pyrrhocactus horridus v. orientalis (F. Ritter) F. Ritter, Kakteen in Südamerika, 3: 949: 1980Pyrrhocactus horridus v. robustus (F. Ritter) F. Ritter, Kakteen in Südamerika, 3: 947: 1980
Pyrrhocactus huascensis F. Ritter, Succulenta (Netherlands): 57. 1962, 1962Pyrrhocactus intermedius F. Ritter, Taxon, 12. 32., 1963
Pyrrhocactus iquiquensis F. Ritter, Taxon, 12. 32, 1963Pyrrhocactus jussieui (Monville) F. Ritter, Kakteen in Südamerika, 3: 951: 1980
Pyrrhocactus jussieui v. australis F. Ritter, Kakteen in Südamerika, 3: 952, 1980Pyrrhocactus jussieui v. spinosior F. Ritter, Kakteen in Südamerika, 3: 952, 1980
Pyrrhocactus katermannii R. Kiesling, Monogr. Syst. Bot. Missouri Bot. Gard. 74 (2): 1246., 1999Pyrrhocactus kesselringianus (Dolz) F. Ritter, Succulenta, 1959, 131, 1959
Pyrrhocactus krausii F. Ritter, Kakteen in Südamerika, 3: 953, 1980Pyrrhocactus kunzei (Foerst.) Y. Ito, Cacti, 262, 1937
Pyrrhocactus limariensis F. Ritter, Kakteen in Südamerika, 3: 956, 1980Pyrrhocactus lissocarpus F. Ritter, Succulenta, 1960, 17., 1960
Pyrrhocactus lissocarpus v. gracilis F. Ritter, Succulenta (Netherlands): 17. 1960, 1960Pyrrhocactus mammillarioides (Hook.) Backeberg, Backeb. & F. M. Knuth, Kaktus-ABC, 263, 1935
Pyrrhocactus marayesensis (Backeberg) J.G. Lambert, Cactus d'Argentine, ed. 2: 265: 1998Pyrrhocactus marksianus F. Ritter, Succulenta, 1960, 2., 1960
Pyrrhocactus marksianus v. tunensis F. Ritter, Succulenta (Netherlands): 2. 1960, 1960Pyrrhocactus megliolii W. Rausch, Kakteen Sukk. 25 (10): 220, fig., 1975
Pyrrhocactus melanacanthus Backeberg, Descr. Cact. Nov. 3. 13., 1963Pyrrhocactus neohankeanus F. Ritter, Kakteen in Südamerika, 3: 959, 1980
Pyrrhocactus neohankeanus f. woutersianus (Backeberg) F. Ritter, Kakteen in Südamerika, 3: 960, without basionym date: 1980Pyrrhocactus neohankeanus v. densispinus F. Ritter, Kakteen in Südamerika, 3: 960, 1980
Pyrrhocactus neohankeanus v. elongatus F. Ritter, Kakteen in Südamerika, 3: 960, 1980Pyrrhocactus neohankeanus v. flaviflorus F. Ritter, Kakteen in Südamerika, 3: 960, 1980
Pyrrhocactus nigricans (A. Linke) F. Ritter, Succulenta, 1959, 131, 1959Pyrrhocactus occultus (K. Schumann) F. Ritter, Succulenta, 1959, 131, 1959
Pyrrhocactus odoriflorus F. Ritter, Succulenta, 1960, 116., 1960Pyrrhocactus pachacoensis W. Rausch, Kakt. And. Sukk., 26 (4): 73., 1975
Pyrrhocactus pamaensis F. Ritter, Kakteen in Südamerika, 3: 962, 1980Pyrrhocactus paucicostatus (F. Ritter) F. Ritter, Succulenta, 1959, 131, 1959
Pyrrhocactus paucicostatus v. viridis (F. Ritter) F. Ritter, Succulenta (Netherlands): 131. 1959, 1959Pyrrhocactus pilispinus F. Ritter, Succulenta, 1962, 42., 1962
Pyrrhocactus platyacanthus F. Ritter, Kakteen in Südamerika, 2: 420, 1980Pyrrhocactus pulchellus F. Ritter, Kakteen in Südamerika, 3: 965, 1980
Pyrrhocactus pygmaeus F. Ritter, Taxon, 12. 32., 1963Pyrrhocactus reconditus F. Ritter, Succulenta, 1962, 27., 1962
Pyrrhocactus residuus F. Ritter & Buining, Taxon, 12. 33., 1963Pyrrhocactus robustus F. Ritter, Succulenta, 1960, 65., 1960
Pyrrhocactus robustus v. vegasanus F. Ritter, Succulenta (Netherlands): 65. 1960, 1960Pyrrhocactus rupicola F. Ritter, Taxon, 12. 32., 1963
Pyrrhocactus sanjuanensis (Spegazzini) Backeberg, Cactaceae: Jahrb. Deutsch. Kakt. -Ges., Teil 2 (Okt.) 54, in obs., 1939Pyrrhocactus saxifragus F. Ritter, Kakteen in Südamerika, 3: 970, 1980
Pyrrhocactus scoparius F. Ritter, Succulenta, 1962, 51., 1962Pyrrhocactus setiflorus Backeberg, Descr. Cact. Nov. 3: 13. 163,
Pyrrhocactus setosiflorus F. Ritter, Succulenta, 1962, 70., 1962Pyrrhocactus setosiflorus v. intermedius F. Ritter, Succulenta (Netherlands): 70. 1962, 1962
Pyrrhocactus simulans F. Ritter, Succulenta, 1961, 35., 1961Pyrrhocactus strausianus (K. Schumann) Berger
Pyrrhocactus strausianus v. pachacoensisPyrrhocactus strausianus v. sanjuanensis (Spegazzini) J. Lambert, Succulenta, 74 (1): 36: 1995
Pyrrhocactus subaianus Backeberg, Cactac. Handb. Kakteenk. 3., 1959Pyrrhocactus taltalensis (Hutchison) F. Ritter, Succulenta, 1959, 131, 1959
Pyrrhocactus tenuis F. Ritter, Kakteen in Südamerika, 3: 976, 1980Pyrrhocactus totoralensis F. Ritter, Succulenta, 131., 1961
Pyrrhocactus transiens F. Ritter, Kakteen in Südamerika, 3: 977, 1980Pyrrhocactus transitensis F. Ritter, Taxon, 12. 33., 1963
Pyrrhocactus trapichensis F. Ritter, Kakteen in Südamerika, 3: 979, 1980Pyrrhocactus truncatipetalus F. Ritter, Kakteen in Südamerika, 3: 980, 1980
Pyrrhocactus tuberisulcatus (Jac.) Berg., Kakteen, 215, 345., 1929Pyrrhocactus umadeave (Wierderm.) Backeberg, Backeb. & F. M. Knuth, Kaktus-ABC, 264, 1935
Pyrrhocactus umadeave v. marayesensis Backeberg, Descr. Cact. Nov. 3: 13., 1963Pyrrhocactus vallenarensis F. Ritter, Succulenta, 157., 1959
Pyrrhocactus vegasanusPyrrhocactus vertongenii J.G. Lamb., Succulenta, 74 (6): 271, 1995
Pyrrhocactus vexatus F. Ritter, Kakteen in Südamerika, 3: 981, 1980Pyrrhocactus villicumensis W. Rausch, Kakt. And. Sukk., 25 (12): 268., 1974
Pyrrhocactus vollianus Backeberg, Descr. Cact. Nov. 31., 1957Pyrrhocactus vollianus v. breviaristatus Backeberg, Descr. Cact. Nov. 31., 1956
Pyrrhocactus wagenknechtii F. Ritter, Succulenta, 1960, 82., 1960
