I keep getting messages from various websites that my Safari is out of date. I have tried all the steps indicated to update my version of Safari but none of them work. Supposedly I should be able to go to the App Store to find an update but nothing shows up.
iMac 21.5″, macOS 10.13
Safari 13.1.2 is the latest version of Safari that you can run with macOS 10.13.x High Sierra.
To update Safari you would need to upgrade your macOS.
The model year of an iMac is available at Apple menu > About This Mac.
A late 2009 through mid 2011 iMac can be upgraded to High Sierra 10.13.6 but no later version. See: How to download macOS - Apple Support
A late 2012 through late 2013 iMac can be upgraded to Catalina 10.15.7 but no later. See: How to download macOS - Apple Support
A mid 2014 and late 2014 iMac can be upgraded to the latest version of Big Sur macOS 11 but no later. See: How to download macOS - Apple Support
A late 2015 iMac can be upgraded to the latest version of Monterey macOS 12. See:How to download macOS - Apple Support
A 2017 or later iMac can be upgraded to the current version of Ventura macOS 13. See: How to upgrade to macOS Ventura - Apple Support
Be aware that if you upgrade to Catalina 10.15 or later you will also need to update any non-Apple 32-bit apps. See: https://www.macworld.com/article/232735/how-to-check-if-mac-software-is-32-or-64-bit.html
If you can't or don't want to upgrade macOS, you should consider, for security reasons, using a 3rd party browser such as Chrome or Firefox which support running their latest version with High Sierra. https://www.google.com/chrome/
Safari 13.1.2 is the latest version of Safari that you can run with macOS 10.13.x High Sierra.
To update Safari you would need to upgrade your macOS.
The model year of an iMac is available at Apple menu > About This Mac.
A late 2009 through mid 2011 iMac can be upgraded to High Sierra 10.13.6 but no later version. See: How to download macOS - Apple Support
A late 2012 through late 2013 iMac can be upgraded to Catalina 10.15.7 but no later. See: How to download macOS - Apple Support
A mid 2014 and late 2014 iMac can be upgraded to the latest version of Big Sur macOS 11 but no later. See: How to download macOS - Apple Support
A late 2015 iMac can be upgraded to the latest version of Monterey macOS 12. See:How to download macOS - Apple Support
A 2017 or later iMac can be upgraded to the current version of Ventura macOS 13. See: How to upgrade to macOS Ventura - Apple Support
Be aware that if you upgrade to Catalina 10.15 or later you will also need to update any non-Apple 32-bit apps. See: https://www.macworld.com/article/232735/how-to-check-if-mac-software-is-32-or-64-bit.html
If you can't or don't want to upgrade macOS, you should consider, for security reasons, using a 3rd party browser such as Chrome or Firefox which support running their latest version with High Sierra. https://www.google.com/chrome/
Trying to update Safari
