PS4:
https://www.playstation.com/en-us/support/system-updates/ps4/
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PS3:
https://www.playstation.com/en-us/support/system-updates/ps3/
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PS Vita:
https://www.playstation.com/en-us/support/system-updates/ps-vita/
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PS4 Firmware 4.05 and PS Vita Firmware 3.63
You're not the only one, I wish they'd bring back the ability to clear notifications too (not just select ones neither)