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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. The range trends generally from north-northeast to south-southwest. It includes a number of slender ridge lines with valleys flooded by intruding flows of lava.
This range is located at selenographic coordinates 7.7° S, 28.1° W. It has a diameter of 189 km, although it is typically only about 30–50 km wide. The nearest feature of note is Euclides, a small but prominent crater to the west. About 100 km to the north is the crater Lansberg.