Chryseis is from the Greek Χρυσηίς (Khrūsēís — golden, daughter of Chryses) — from Greek khrūsos (gold). Chryseis is one of the Greek feminine names — central to traditional Greek epic heritage. Greek feminine name reflecting Greek epic heritage.
Chryseis does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
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In Pythagorean numerology the letters of Chryseis reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.