Periktione (Περικτιόνη) was the mother of Plato and his brothers Glaucon and Adeimantus — an Athenian aristocrat of the Solon lineage. Some traditions attribute philosophical writings to her, though their authenticity is debated.
Periktione 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.
In Pythagorean numerology the letters of Periktione reduce to 5, The Seeker. This is a traditional interpretive system, not a factual claim about the name.