The term "seeking prize" refers to the act of striving for a reward or an achievement. There are a variety of synonyms that can be used to express this concept, depending on the context and the tone of the message. Some possible alternatives include aspiring, striving, pursuing, hunting, chasing, searching, endeavoring, reaching for, and longing for. Each of these words conveys a slightly different nuance and flavor, ranging from ambition and determination to desire and yearning. By choosing the right synonym for "seeking prize," a writer or speaker can add depth and richness to their message, capturing the essence of the goal and the journey.