Found with PFGW Version 3.6.0

5525^6632-6632^5525 is 2-PRP! (24.1893s+0.0040s)
5525^6632-6632^5525 is 3-PRP! (24.0832s+0.0028s)
5525^6632-6632^5525 is 5-PRP! (24.1043s+0.0027s)
5525^6632-6632^5525 is 7-PRP! (24.0863s+0.0040s)
5525^6632-6632^5525 is 11-PRP! (24.0683s+0.0027s)

Primality testing 5525^6632-6632^5525 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.04% and helper 0.02% (0.15% proof)
5525^6632-6632^5525 is Fermat and Lucas PRP! (118.1411s+0.0032s)

To be completed...