Found with PFGW Version 3.6.0

174^5111-5111^174 is 2-PRP! (5.2553s+0.0017s)
174^5111-5111^174 is 3-PRP! (5.9460s+0.0021s)
174^5111-5111^174 is 5-PRP! (5.9729s+0.0021s)
174^5111-5111^174 is 7-PRP! (6.0735s+0.0017s)
174^5111-5111^174 is 11-PRP! (5.9418s+0.0015s)

Primality testing 174^5111-5111^174 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 31, base 2+sqrt(31)
Calling N-1 BLS with factored part 0.11% and helper 0.09% (0.44% proof)
174^5111-5111^174 is Fermat and Lucas PRP! (31.8403s+0.0028s)

To be completed...