Found with PFGW Version 3.5.2

75^7006-74 is 2-PRP! (8.7949s+0.0046s)
75^7006-74 is 3-PRP! (10.9107s+0.1133s)
75^7006-74 is 5-PRP! (19.6093s+0.0066s)
75^7006-74 is 7-PRP! (11.4236s+0.0055s)
75^7006-74 is 11-PRP! (11.4060s+0.0105s)

Primality testing 75^7006-74 [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 base 13
Running N+1 test using discriminant 29, base 1+sqrt(29)
Calling N-1 BLS with factored part 0.27% and helper 0.04% (0.86% proof)
75^7006-74 is Fermat and Lucas PRP! (101.9184s+0.0144s)

To be completed...