Found with PFGW Version 3.7.5

137^11664+136 is 2-PRP! (4.3065s+0.0012s)
137^11664+136 is 3-PRP! (4.3129s+0.0010s)
137^11664+136 is 5-PRP! (4.3617s+0.0015s)
137^11664+136 is 7-PRP! (4.3161s+0.0010s)
137^11664+136 is 11-PRP! (4.3180s+0.0010s)

Primality testing 137^11664+136 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.10% and helper 0.02% (0.34% proof)
137^11664+136 is Fermat and Lucas PRP! (30.0255s+0.0018s)

To be completed...