Found with PFGW Version 3.8.0

7471^11028-11028^7471 is 2-PRP! (34.9845s+0.0060s)
7471^11028-11028^7471 is 3-PRP! (34.9592s+0.0068s)
7471^11028-11028^7471 is 5-PRP! (35.0447s+0.0073s)
7471^11028-11028^7471 is 7-PRP! (35.0019s+0.0068s)
7471^11028-11028^7471 is 11-PRP! (35.0403s+0.0072s)

Primality testing 7471^11028-11028^7471 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 6+sqrt(17)
Calling N-1 BLS with factored part 0.02% and helper 0.01% (0.08% proof)
7471^11028-11028^7471 is Fermat and Lucas PRP! (213.5036s+0.0070s)

To be completed...