What should I do if my printer cannot be found on the wireless network?

First, confirm that wireless is enabled on the printer by touching the Wireless icon on the control panel and checking that it is set to On. You should also print a Wireless Test Report by going to Settings > Print Reports > Wireless Test Report to diagnose connection issues. Additionally, temporarily disabling your firewall can help determine if security software is blocking communication between your computer and printer. (Page 4)

From the official HP Envy 5640 E All-in-One Printer manual, page 4

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