Found with PFGW Version 3.7.5

76^53332-75 is 2-PRP! (58.3989s+0.0029s)
76^53332-75 is 3-PRP! (57.8915s+0.0030s)
76^53332-75 is 5-PRP! (58.3375s+0.0029s)
76^53332-75 is 7-PRP! (57.5357s+0.0030s)
76^53332-75 is 11-PRP! (57.7760s+0.0030s)

Primality testing 76^53332-75 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.05% and helper 0.00% (0.16% proof)
76^53332-75 is Fermat and Lucas PRP! (445.1138s+0.0032s)

To be completed...