Video Game Console Repair Questions? Ask a Technician ASAP
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Try this (after restarting the PS4, etc. as usual and making sure your PS4 actually is connected to the internet):
Set Up Internet Connection
on your PS4. And choose 'Custom', and instead of the entry for MTU, or Set MTU, enter the number
and try that. Often this works, when the PSN is down for unknown reasons.