Found with PFGW Version 3.7.5

6026^10497-10497^6026 is 2-PRP! (33.6830s+0.0033s)
6026^10497-10497^6026 is 3-PRP! (33.6094s+0.0026s)
6026^10497-10497^6026 is 5-PRP! (33.6269s+0.0027s)
6026^10497-10497^6026 is 7-PRP! (33.6025s+0.0024s)
6026^10497-10497^6026 is 11-PRP! (33.6637s+0.0028s)

Primality testing 6026^10497-10497^6026 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N+1 BLS with factored part 0.02% and helper 0.00% (0.07% proof)
6026^10497-10497^6026 is Fermat and Lucas PRP! (168.3742s+0.0028s)

To be completed...