Found with PFGW Version 3.7.5

75^55914-74 is 2-PRP! (60.1818s+0.0043s)
75^55914-74 is 3-PRP! (59.8065s+0.0042s)
75^55914-74 is 5-PRP! (59.2903s+0.0043s)
75^55914-74 is 7-PRP! (59.3132s+0.0043s)
75^55914-74 is 11-PRP! (59.8327s+0.0043s)

Primality testing 75^55914-74 [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 0.08% and helper 0.00% (0.24% proof)
75^55914-74 is Fermat and Lucas PRP! (459.0104s+0.0046s)

To be completed...