Found with PFGW Version 3.7.5

543^8068-8068^543 is 2-PRP! (19.4428s+0.0022s)
543^8068-8068^543 is 3-PRP! (20.4794s+0.0021s)
543^8068-8068^543 is 5-PRP! (18.7606s+0.0021s)
543^8068-8068^543 is 7-PRP! (20.4123s+0.0021s)
543^8068-8068^543 is 11-PRP! (17.5202s+0.0017s)

Primality testing 543^8068-8068^543 [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% (0.07% proof)
543^8068-8068^543 is Fermat and Lucas PRP! (107.2053s+0.0050s)

To be completed...