Montes Riphaeus (Latin for "Riphaeus Mountains") is an irregular range of lunar mountains that lie along the west-northwestern edge of Mare Cognitum, on the southeastern edge of Oceanus Procellarum.
It includes a number of slender ridge lines with valleys flooded by intruding flows of lava.
The nearest feature of note is Euclides, a small but prominent crater to the west.
The range is named after the Riphean Mountains in the geography of classical antiquity.
Johannes Hevelius was the first astronomer to apply the Riphean label to a feature of the lunar landscape, but Johann Heinrich von Mädler is responsible for the current designation of the Montes Riphaeus.