1. Download Special Framaroot APK for Samsung Galaxy Core Prime from this link : http://downloadsafe.org/file/0yF980
2. Connect your device to your PC using the USB cable.
3. Copy the Special Framaroot APK over to the root of your SD card.
4. Once it’s been copied, disconnect your device from your PC.
5. Head to Menu>>Settings>>Security on your device and enable the Unknown sources option.
6. Open the File Manager app on your device and install the app you copied earlier to your device.
7. Once the app’s been installed, launch it from your App Drawer.
8. Select Install SuperSU from the first dropdown menu.
9. As for selecting the exploit (there’re three, Sam, Frodo and Aragorn), head to this page ( http://forum.xda-developers.com/showthread.php?t=2130276 ) and see what exploit works for your device. Once you find it out, tap on it in the app.
10. The app should begin rooting your device, shouldn’t take too long to finish.
11. Reboot your device once it’s been rooted.
12. You’re all done! Excellent! You’ve successfully rooted your Android device using the Special Framaroot app and you should now be able to see the SuperSU app in your App Drawer!