Found with PFGW Version 3.7.5

119^27979-118 is 2-PRP! (39.6122s+0.0038s)
119^27979-118 is 3-PRP! (38.7501s+0.0037s)
119^27979-118 is 5-PRP! (39.2752s+0.0038s)
119^27979-118 is 7-PRP! (39.0838s+0.0045s)
119^27979-118 is 11-PRP! (39.1401s+0.0043s)

Primality testing 119^27979-118 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 19, base 16+sqrt(19)
Calling N-1 BLS with factored part 0.03% and helper 0.01% (0.11% proof)
119^27979-118 is Fermat and Lucas PRP! (287.4606s+0.0053s)

To be completed...