Jacob's Cave, Numbers, and the DI

Fantastic episode. A few questions I just thought of that I hope you all can shed some light on: Why were the numbers that are so valued (it seems) by Jacob printed on the side of the hatch by the Dharma Initiative? Based on Jacob's numbering system for the candidates, did he have some sort of connection with the DI as well? Were they people that Jacob brought to the Island because he trusts other people can live on the Island and not harm it (unlike MIB's approach)? Like he said, "It only ends once, anything that comes before is just progress."

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