He gets one mention. When Odysseus surfaces in the wreckage after the thunderbolt and looks for the others, the names that come to mind are Perimedes, Eurylochus, all of them, the ones who’d sailed with him through Circe’s halls and past the Sirens’ voices, who’d watched him blind Polyphemus and held the bag of winds and rowed when their arms were breaking. Gone. Every one. Pulled down into the deep. Perimedes is one of the named drowned. In Homer he is among the men who help bind Odysseus to the mast for the Sirens. The retelling keeps him as a name on the casualty list, a marker that these were men with names and not just a tally on the bench.
Perimedes
One of Odysseus's crew. Named only as he goes under when Zeus's bolt splits the ship.