Can I use the HP Envy 5000 without a wireless router?
Yes, you can use the printer wirelessly without a router by using Wi-Fi Direct. Make sure Wi-Fi Direct is enabled on the printer. To check the status of Wi-Fi Direct, network name and password, touch the Wi-Fi Direct icon on the printer control panel. For more details, visit www.hp.com/go/wifidirectprinting.
From the official HP Envy 5000 All-in-One Printer manual, page 2
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