Found with PFGW Version 3.7.5

74^5755-5755^74 is 2-PRP! (3.6012s+0.0012s)
74^5755-5755^74 is 3-PRP! (3.4853s+0.0017s)
74^5755-5755^74 is 5-PRP! (3.7630s+0.0017s)
74^5755-5755^74 is 7-PRP! (4.1815s+0.0014s)
74^5755-5755^74 is 11-PRP! (3.5230s+0.0016s)

Primality testing 74^5755-5755^74 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 11
Running N+1 test using discriminant 41, base 1+sqrt(41)
Calling N+1 BLS with factored part 0.17% and helper 0.14% (0.64% proof)
74^5755-5755^74 is Fermat and Lucas PRP! (21.8607s+0.0035s)

To be completed...