there is no widely recognized or official custom recovery file, device codename, or software version directly associated with the string "t310twrp3101tarmd5 2021"

It is important to clarify upfront: in any public development forum (XDA-Developers), device maintainer repository (LineageOS, TWRP.me), or archival source (GitHub, SourceForge).

• Connect your device to your computer using a USB cable

Flash TWRP with Heimdall (Linux/Mac)

Features of T310 TWRP 3101 Tarm MD5 2021

In the quiet, dust-filled workshop of an old tech hobbyist in 2021, a Samsung Galaxy Tab 3 8.0 (SM-T310)

Steps to Install TWRP on Samsung Galaxy Tab 3 (t310):

Blog post: Installing TWRP on the T310 (Model T3101T) — Guide for Android 5 (2021)