Found with PFGW Version 3.6.0

39^25806+38 is 2-PRP! (25.3351s+0.0030s)
39^25806+38 is 3-PRP! (25.4763s+0.0029s)
39^25806+38 is 5-PRP! (25.3506s+0.0031s)
39^25806+38 is 7-PRP! (25.3885s+0.0034s)
39^25806+38 is 11-PRP! (25.3453s+0.0032s)

Primality testing 39^25806+38 [N-1/N+1, Brillhart-Lehmer-Selfridge]
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 0.06% and helper 0.02% (0.19% proof)
39^25806+38 is Fermat and Lucas PRP! (177.8411s+0.0033s)

To be completed...