Found with PFGW Version 3.6.0

5032^6633-6633^5032 is 2-PRP! (23.1718s+0.0024s)
5032^6633-6633^5032 is 3-PRP! (24.0402s+0.0026s)
5032^6633-6633^5032 is 5-PRP! (24.3820s+0.0025s)
5032^6633-6633^5032 is 7-PRP! (24.0432s+0.0026s)
5032^6633-6633^5032 is 11-PRP! (23.9549s+0.0042s)

Primality testing 5032^6633-6633^5032 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 6+sqrt(7)
Calling N+1 BLS with factored part 0.07% and helper 0.04% (0.25% proof)
5032^6633-6633^5032 is Fermat and Lucas PRP! (118.2241s+0.0030s)

To be completed...