Found with PFGW Version 3.7.5

3113^7608-7608^3113 is 2-PRP! (27.9410s+0.0023s)
3113^7608-7608^3113 is 3-PRP! (28.9099s+0.0026s)
3113^7608-7608^3113 is 5-PRP! (24.3209s+0.0020s)
3113^7608-7608^3113 is 7-PRP! (29.4403s+0.0026s)
3113^7608-7608^3113 is 11-PRP! (30.6553s+0.0029s)

Primality testing 3113^7608-7608^3113 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N-1 BLS with factored part 0.03% and helper 0.01% (0.11% proof)
3113^7608-7608^3113 is Fermat and Lucas PRP! (153.3747s+0.0073s)

To be completed...