Found with PFGW Version 3.7.5

5515^9072-9072^5515 is 2-PRP! (21.8676s+0.0020s)
5515^9072-9072^5515 is 3-PRP! (22.1081s+0.0016s)
5515^9072-9072^5515 is 5-PRP! (21.9031s+0.0015s)
5515^9072-9072^5515 is 7-PRP! (22.2736s+0.0015s)
5515^9072-9072^5515 is 11-PRP! (22.0406s+0.0016s)

Primality testing 5515^9072-9072^5515 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 8+sqrt(17)
Calling N-1 BLS with factored part 0.08% and helper 0.00% (0.23% proof)
5515^9072-9072^5515 is Fermat and Lucas PRP! (133.9756s+0.0023s)

To be completed...