Found with PFGW Version 3.7.5

7487^9828-9828^7487 is 2-PRP! (27.0199s+0.0018s)
7487^9828-9828^7487 is 3-PRP! (26.6942s+0.0018s)
7487^9828-9828^7487 is 5-PRP! (26.5522s+0.0018s)
7487^9828-9828^7487 is 7-PRP! (26.2213s+0.0018s)
7487^9828-9828^7487 is 11-PRP! (26.4148s+0.0017s)

Primality testing 7487^9828-9828^7487 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N-1 test using base 17
Running N+1 test using discriminant 31, base 3+sqrt(31)
Calling N-1 BLS with factored part 0.05% and helper 0.01% (0.17% proof)
7487^9828-9828^7487 is Fermat and Lucas PRP! (187.4972s+0.0025s)

To be completed...