Found with PFGW Version 3.7.5

139^27504-138 is 2-PRP! (24.4710s+0.0019s)
139^27504-138 is 3-PRP! (24.4967s+0.0021s)
139^27504-138 is 5-PRP! (24.5082s+0.0021s)
139^27504-138 is 7-PRP! (24.4457s+0.0022s)
139^27504-138 is 11-PRP! (24.4433s+0.0020s)

Primality testing 139^27504-138 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N-1 BLS with factored part 0.04% and helper 0.02% (0.13% proof)
139^27504-138 is Fermat and Lucas PRP! (168.1215s+0.0029s)

To be completed...