Found with PFGW Version 3.6.0

39^25881-38 is 2-PRP! (23.6950s+0.0031s)
39^25881-38 is 3-PRP! (23.7212s+0.0030s)
39^25881-38 is 5-PRP! (23.7826s+0.0029s)
39^25881-38 is 7-PRP! (23.7530s+0.0045s)
39^25881-38 is 11-PRP! (23.6699s+0.0031s)

Primality testing 39^25881-38 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 37
Running N+1 test using discriminant 43, base 1+sqrt(43)
Calling N-1 BLS with factored part 0.12% and helper 0.02% (0.39% proof)
39^25881-38 is Fermat and Lucas PRP! (197.9771s+0.0049s)

To be completed...