Found with PFGW Version 3.6.0

39^23425-38 is 2-PRP! (18.0046s+0.0031s)
39^23425-38 is 3-PRP! (17.9865s+0.0042s)
39^23425-38 is 5-PRP! (17.9513s+0.0029s)
39^23425-38 is 7-PRP! (17.9438s+0.0033s)
39^23425-38 is 11-PRP! (18.0104s+0.0026s)

Primality testing 39^23425-38 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 37
Running N-1 test using base 41
Running N-1 test using base 43
Running N+1 test using discriminant 53, base 4+sqrt(53)
Calling N-1 BLS with factored part 0.36% and helper 0.01% (1.09% proof)
39^23425-38 is Fermat and Lucas PRP! (172.9119s+0.0033s)

To be completed...