Found with PFGW Version 3.8.0

9001^12528-12528^9001 is 2-PRP! (45.4224s+0.0027s)
9001^12528-12528^9001 is 3-PRP! (45.9140s+0.0015s)
9001^12528-12528^9001 is 5-PRP! (45.7633s+0.0014s)
9001^12528-12528^9001 is 7-PRP! (47.9932s+0.0015s)
9001^12528-12528^9001 is 11-PRP! (46.0397s+0.0016s)

Primality testing 9001^12528-12528^9001 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N-1 BLS with factored part 0.02% and helper 0.01% (0.06% proof)
9001^12528-12528^9001 is Fermat and Lucas PRP! (266.4395s+0.0044s)

To be completed...