Where does “primate” come from?

primate (Middle English) comes from Old French primat, from Late Latin primas, from Latin prīmus, from Latin prīsmos, from Proto-Italic priisemos, from Proto-Indo-European per-, from Proto-Indo-European pr̥tós — passed , crossed.

Ancestry of “primate”, step by step

Step	Language	Word	Meaning
1	Old French	primat	—
2	Late Latin	primas	chief; chief; noble; one of the first or...
3	Latin	prīmus	—
4	Latin	prīsmos	—
5	Proto-Italic	priisemos	foremost, first
6	Proto-Indo-European	per-	before, in front; first; to go through
7	Proto-Indo-European	pr̥tós	passed , crossed

Every word from Proto-Indo-European pr̥tós →Every word from Proto-Indo-European per- →Every word from Proto-Italic priisemos →