Found with PFGW Version 3.8.0

10524^12893-12893^10524 is 2-PRP! (48.0958s+0.0077s)
10524^12893-12893^10524 is 3-PRP! (48.9353s+0.0078s)
10524^12893-12893^10524 is 5-PRP! (48.7668s+0.0081s)
10524^12893-12893^10524 is 7-PRP! (48.8420s+0.0084s)
10524^12893-12893^10524 is 11-PRP! (48.3484s+0.0085s)

Primality testing 10524^12893-12893^10524 [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% (0.05% proof)
10524^12893-12893^10524 is Fermat and Lucas PRP! (301.1214s+0.0059s)

To be completed...