Hello Frogmom09,
Having checked the HP website, it shows that there is no updated software for the Deskjet 3050 J610. To be able to connect the printer wireless, you will have to do a couple different steps. You will first need to restore the network defaults on the printer. I have included the steps below for restoring the network defaults.
1. Press the button next to Settings
2. Press the button next to Wireless Menu
3. Press the button next to Settings
4. Press the button next to Defaults
Once the defaults for the wireless have been restored on the printer, you will need to connect your Mac to the printers network. I have included the steps below for you.
1. Click on the AirPort Wireless icon in the top right corner of the Mac screen
2. Click on the HP Setup Network/ HP Printer Network
Note: you will not be connected to your Internet service at this point.
Please open up Safari at this time, and in the top address bar you will need to type in 192.168.223.1. This should pull up a page of your printer. On this page, please click on the Network/Wireless tab at the top of the page. Then click on Wireless Setup Wizard down the left hand side of the page. You will then have to fill in the wireless information for the printer. Once you have successfully ran the Wireless Setup Wizard, you can close down the Safari page. Next you will have to connect your Mac back to the correct Internet service.
Once you are connected back to your Internet service, please try adding the printer into the print queue wireless.
Are you able to successfully add the printer wireless, and print?
Regards. 🙂
I work on behalf of HP