Found with PFGW Version 3.7.5

6542^9809-9809^6542 is 2-PRP! (25.8814s+0.0017s)
6542^9809-9809^6542 is 3-PRP! (25.8519s+0.0017s)
6542^9809-9809^6542 is 5-PRP! (25.8392s+0.0018s)
6542^9809-9809^6542 is 7-PRP! (25.7710s+0.0017s)
6542^9809-9809^6542 is 11-PRP! (26.1541s+0.0016s)

Primality testing 6542^9809-9809^6542 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.02% and helper 0.02% (0.07% proof)
6542^9809-9809^6542 is Fermat and Lucas PRP! (148.2127s+0.0024s)

To be completed...