Found with PFGW Version 3.7.5

127^5400-5400^127 is 2-PRP! (4.0633s+0.0038s)
127^5400-5400^127 is 3-PRP! (4.2976s+0.0044s)
127^5400-5400^127 is 5-PRP! (4.1465s+0.0041s)
127^5400-5400^127 is 7-PRP! (4.5383s+0.0044s)
127^5400-5400^127 is 11-PRP! (4.1888s+0.0044s)

Primality testing 127^5400-5400^127 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N+1 BLS with factored part 0.17% and helper 0.11% (0.61% proof)
127^5400-5400^127 is Fermat and Lucas PRP! (21.1307s+0.0038s)

To be completed...