Found with PFGW Version 3.7.5

9659^10398-10398^9659 is 2-PRP! (35.4198s+0.0022s)
9659^10398-10398^9659 is 3-PRP! (35.5783s+0.0021s)
9659^10398-10398^9659 is 5-PRP! (35.1694s+0.0022s)
9659^10398-10398^9659 is 7-PRP! (35.1217s+0.0023s)
9659^10398-10398^9659 is 11-PRP! (35.4001s+0.0022s)

Primality testing 9659^10398-10398^9659 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N+1 BLS with factored part 0.04% and helper 0.02% (0.13% proof)
9659^10398-10398^9659 is Fermat and Lucas PRP! (176.9210s+0.0031s)

To be completed...