Found with PFGW Version 3.4.6

34^12988+33 is 2-PRP! (12.6686s+0.0046s)
34^12988+33 is 3-PRP! (12.5944s+0.0052s)
34^12988+33 is 5-PRP! (14.0128s+0.0047s)
34^12988+33 is 7-PRP! (17.4922s+0.0047s)
34^12988+33 is 11-PRP! (14.1548s+0.0049s)

Primality testing 34^12988+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 47, base 3+sqrt(47)
Calling N+1 BLS with factored part 0.41% and helper 0.03% (1.25% proof)
34^12988+33 is Fermat and Lucas PRP! (204.7781s+0.0124s)

To be completed...