Found with PFGW Version 3.6.0

5466^6935-6935^5466 is 2-PRP! (28.4793s+0.0044s)
5466^6935-6935^5466 is 3-PRP! (28.1974s+0.0030s)
5466^6935-6935^5466 is 5-PRP! (28.3257s+0.0031s)
5466^6935-6935^5466 is 7-PRP! (28.3064s+0.0045s)
5466^6935-6935^5466 is 11-PRP! (28.2244s+0.0033s)

Primality testing 5466^6935-6935^5466 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 29, base 1+sqrt(29)
Calling N-1 BLS with factored part 0.06% and helper 0.03% (0.21% proof)
5466^6935-6935^5466 is Fermat and Lucas PRP! (161.3465s+0.0043s)

To be completed...