Found with PFGW Version 3.4.8

1141^3308-3308^1141 is 2-PRP! (22.9423s+0.0065s)
1141^3308-3308^1141 is 3-PRP! (25.2443s+0.0053s)
1141^3308-3308^1141 is 5-PRP! (25.3188s+0.0058s)
1141^3308-3308^1141 is 7-PRP! (25.6528s+0.0077s)
1141^3308-3308^1141 is 11-PRP! (25.3833s+0.0066s)

Primality testing 1141^3308-3308^1141 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N+1 BLS with factored part 0.05% and helper 0.01% (0.18% proof)
1141^3308-3308^1141 is Fermat and Lucas PRP! (116.2851s+0.0161s)

To be completed...