Found with PFGW Version 3.4.8

33^15584+32 is 2-PRP! (15.8325s+0.0066s)
33^15584+32 is 3-PRP! (26.0683s+0.0024s)
33^15584+32 is 5-PRP! (36.7780s+0.0024s)
33^15584+32 is 7-PRP! (38.6185s+0.0023s)
33^15584+32 is 11-PRP! (38.7293s+0.0023s)

Primality testing 33^15584+32 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.05% proof)
33^15584+32 is Fermat and Lucas PRP! (256.6494s+0.0056s)

To be completed...