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Open Apple menu → System Preferences → Bluetooth and disable Bluetooth on Mac as well as any other nearby Macs or devices which will try to pair with and confuse the controller.
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Reset PS3 controller by inserting paperclip into pinhole near L2 button.
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Connect PS3 controller to Mac with USB cable.
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Enable Bluetooth.
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Press "PS" button for 1-2 seconds until the red lights flash.
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Unplug USB cable.
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A window will appear asking you to enter an access code. Enter
0000
and click "Accept." -
Close the Setup Assistant.
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Click the "PLAYSTATION3 Controller" item in the Bluetooth list in the preferences. Then select "Add To Favorites" and then "Update Services" from the little gear icon menu.
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Disable Bluetooth. Wait a second.
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Enable Bluetooth. Wait another second.
The controller will now appear connected in the list and can be used in applications.