Samsung Galaxy S III (SGH-T999N) Firmware Overview
What is the latest SGH-T999N firmware?
T999NUVUBOH1, released August 13, 2015 with Android 4.3. The archive holds 5 official builds across 1 region (CSC). Each one is the full stock ROM (flash file) for Odin, not an OTA patch.
Is the Samsung Galaxy S III still getting updates?
Most likely not: there has been no new firmware since August 2015, so Android 4.3 is the last version this model got. The final builds below are still the best choice for a clean reinstall.
All SGH-T999N firmware builds
How to Flash SGH-T999N Firmware
Put the Samsung Galaxy S III into Download Mode, load the BL, AP, CP and CSC files into Odin on a Windows PC and press Start. Use HOME_CSC to keep your data, CSC for a full wipe.