Found with PFGW Version 3.4.8

34^16142+33 is 2-PRP! (16.7928s+0.0058s)
34^16142+33 is 3-PRP! (29.2750s+0.0057s)
34^16142+33 is 5-PRP! (40.5501s+0.0148s)
34^16142+33 is 7-PRP! (42.2381s+0.0147s)
34^16142+33 is 11-PRP! (41.4123s+0.0127s)

Primality testing 34^16142+33 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N-1 BLS with factored part 0.03% and helper 0.01% (0.11% proof)
34^16142+33 is Fermat and Lucas PRP! (280.6073s+0.0188s)

To be completed...