Found with PFGW Version 3.7.5

9638^10275-10275^9638 is 2-PRP! (34.4367s+0.0020s)
9638^10275-10275^9638 is 3-PRP! (35.4161s+0.0021s)
9638^10275-10275^9638 is 5-PRP! (35.6268s+0.0019s)
9638^10275-10275^9638 is 7-PRP! (35.6692s+0.0022s)
9638^10275-10275^9638 is 11-PRP! (35.2347s+0.0020s)

Primality testing 9638^10275-10275^9638 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.10% proof)
9638^10275-10275^9638 is Fermat and Lucas PRP! (181.6253s+0.0029s)

To be completed...