Found with PFGW Version 3.7.5

9170^9729-9729^9170 is 2-PRP! (26.6829s+0.0030s)
9170^9729-9729^9170 is 3-PRP! (27.1300s+0.0032s)
9170^9729-9729^9170 is 5-PRP! (26.4329s+0.0030s)
9170^9729-9729^9170 is 7-PRP! (26.5016s+0.0032s)
9170^9729-9729^9170 is 11-PRP! (26.4667s+0.0031s)

Primality testing 9170^9729-9729^9170 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N+1 BLS with factored part 0.07% and helper 0.02% (0.22% proof)
9170^9729-9729^9170 is Fermat and Lucas PRP! (153.3069s+0.0036s)

To be completed...