Found with PFGW Version 3.7.5

9520^9771-9771^9520 is 2-PRP! (27.4082s+0.0018s)
9520^9771-9771^9520 is 3-PRP! (27.0949s+0.0020s)
9520^9771-9771^9520 is 5-PRP! (27.3987s+0.0017s)
9520^9771-9771^9520 is 7-PRP! (26.6948s+0.0017s)
9520^9771-9771^9520 is 11-PRP! (26.6982s+0.0017s)

Primality testing 9520^9771-9771^9520 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.10% proof)
9520^9771-9771^9520 is Fermat and Lucas PRP! (165.9616s+0.0039s)

To be completed...