Found with PFGW Version 3.4.8

34^18833-33 is 2-PRP! (28.4523s+0.0056s)
34^18833-33 is 3-PRP! (51.2458s+0.0084s)
34^18833-33 is 5-PRP! (59.0638s+0.0150s)
34^18833-33 is 7-PRP! (61.1183s+0.0157s)
34^18833-33 is 11-PRP! (59.1554s+0.0149s)

Primality testing 34^18833-33 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 7
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N-1 BLS with factored part 0.35% and helper 0.02% (1.06% proof)
34^18833-33 is Fermat and Lucas PRP! (459.0644s+0.0182s)

To be completed...