A network address management system includes a router, an address data storage device, a first communication apparatus and a second communication apparatus, and included in the router is a second connection request receiver, a second prediction unit and a determination unit. The second connection request receiver receives connection data, such as an MAC address for the second communication apparatus, and the second prediction unit employs the connection data for predicting an address while the determination unit determines whether the address is unique. When the predicted address is unique, the second communication apparatus skips duplicate address detection.
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