Found with PFGW Version 3.7.5

1971^5512-5512^1971 is 2-PRP! (11.5007s+0.0096s)
1971^5512-5512^1971 is 3-PRP! (11.5275s+0.0006s)
1971^5512-5512^1971 is 5-PRP! (11.6897s+0.0006s)
1971^5512-5512^1971 is 7-PRP! (11.5004s+0.0006s)
1971^5512-5512^1971 is 11-PRP! (13.6979s+0.0011s)

Primality testing 1971^5512-5512^1971 [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 0.07% and helper 0.06% (0.28% proof)
1971^5512-5512^1971 is Fermat and Lucas PRP! (57.3548s+0.0021s)

To be completed...