Found with PFGW Version 3.4.6

39^13029+38 is 2-PRP! (13.2986s+0.0049s)
39^13029+38 is 3-PRP! (13.5887s+0.0054s)
39^13029+38 is 5-PRP! (17.6311s+0.0053s)
39^13029+38 is 7-PRP! (20.8794s+0.0054s)
39^13029+38 is 11-PRP! (17.6986s+0.0054s)

Primality testing 39^13029+38 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 4+sqrt(5)
Calling N-1 BLS with factored part 0.06% and helper 0.04% (0.21% proof)
39^13029+38 is Fermat and Lucas PRP! (231.1561s+0.0085s)

To be completed...