Found with PFGW Version 3.7.5

127^38779+126 is 2-PRP! (47.3991s+0.0035s)
127^38779+126 is 3-PRP! (47.9067s+0.0036s)
127^38779+126 is 5-PRP! (47.1303s+0.0035s)
127^38779+126 is 7-PRP! (47.7650s+0.0032s)
127^38779+126 is 11-PRP! (47.8350s+0.0045s)

Primality testing 127^38779+126 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.12% proof)
127^38779+126 is Fermat and Lucas PRP! (335.8897s+0.0039s)

To be completed...