I would recommend you use 1/0 gauge
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Depends on the size of the service. 100 amp service will require 3 gauge, 150 amp service will require 1/0 gauge, and 200 amp service will require 3/0 gauge.
I would use AWG #4 for that run in alluminum. You will have a 3.8% voltage drop which is acceptible.
12 gauge underground wire or if you think you will ever add any devices to this circuit use 10 gauge.
At the service entrance you will need AWG 1/0 gauge.
As a service entrance wire you need AWG # 3/0 gauge copper.