Found with PFGW Version 3.4.6

34^9820+33 is 2-PRP! (5.8946s+0.0045s)
34^9820+33 is 3-PRP! (5.7552s+0.0078s)
34^9820+33 is 5-PRP! (5.9940s+0.0038s)
34^9820+33 is 7-PRP! (6.0020s+0.0041s)
34^9820+33 is 11-PRP! (5.8175s+0.0040s)

Primality testing 34^9820+33 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 13
Running N-1 test using base 19
Running N+1 test using discriminant 29, base 1+sqrt(29)
Calling N+1 BLS with factored part 0.23% and helper 0.07% (0.78% proof)
34^9820+33 is Fermat and Lucas PRP! (55.0618s+0.0044s)

To be completed...