There are times when you are reading mails on your mobile phone browser rather than your computer browser, just in case if you want to access and quickly read all the mails in your priority inbox, you can do it by following the procedure given below.
1. Open gmail.com in your mobile web browser
2. Once you are logged in, search for the keyword label:important in mobile gmail interface.
3. After the search is complete it will show you priority inbox mails on your mobile phone browser.