Found with PFGW Version 3.7.5

1911^5248-5248^1911 is 2-PRP! (10.0266s+0.0018s)
1911^5248-5248^1911 is 3-PRP! (10.4871s+0.0018s)
1911^5248-5248^1911 is 5-PRP! (11.3062s+0.0023s)
1911^5248-5248^1911 is 7-PRP! (11.6908s+0.0019s)
1911^5248-5248^1911 is 11-PRP! (10.8399s+0.0017s)

Primality testing 1911^5248-5248^1911 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 17, base 8+sqrt(17)
Calling N-1 BLS with factored part 0.03% and helper 0.03% (0.12% proof)
1911^5248-5248^1911 is Fermat and Lucas PRP! (52.4950s+0.0039s)

To be completed...