The term 'Eureka, for California' is the official state MOTTO of California. It was adopted in the late 1850s and is derived from the Greek phrase 'εὕρηκα, ' which translates to 'I have found it.' The phrase is often used to express joy or excitement upon discovering something. The five letter crossword solution for this term is 'EUREKA, ' which is a direct reference to the original Greek phrase.