Found with PFGW Version 3.7.5

10543^10664-10664^10543 is 2-PRP! (38.4715s+0.0022s)
10543^10664-10664^10543 is 3-PRP! (37.9343s+0.0013s)
10543^10664-10664^10543 is 5-PRP! (38.4722s+0.0014s)
10543^10664-10664^10543 is 7-PRP! (37.6493s+0.0013s)
10543^10664-10664^10543 is 11-PRP! (37.6614s+0.0014s)

Primality testing 10543^10664-10664^10543 [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 0.02% and helper 0.01% (0.09% proof)
10543^10664-10664^10543 is Fermat and Lucas PRP! (188.9066s+0.0020s)

To be completed...