This name is a synonym of Acanthocereus tetragonus (L.) Hummelinck.
The record derives from WCSP (in review)
(data supplied on 2012-03-23)
which reports it as a synonym with original publication details: Sp. Pl. 467 1753.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:129556-1.
This name was in version 1 of The Plant List, record kew-2689396.