Elim, son of Conrai, was, according to medieval Irish legend and historical tradition, a High King of Ireland.
The Lebor Gabála Érenn says he overthrew the previous High King Fíachu Finnolach in an uprising of aithech-tuatha or "subject peoples".
Elim ruled for twenty years, at the end of which Tuathal landed at Inber Domnainn and was proclaimed king.
[1] The Annals of the Four Masters broadly agree with the Lebor Gabála, adding only that the revolt of the aithech-tuatha was led by the provincial kings, Elim being the king of Ulster, and that during his reign Ireland was without corn, fruit, milk or fish, as God punished the aithech-tuatha for their evil.
[2] Geoffrey Keating tells a slightly different story, ascribing the revolt to Cairbre Cinnchait, with Elim as his successor.