Found with PFGW Version 3.7.5

135^13431+134 is 2-PRP! (4.9367s+0.0011s)
135^13431+134 is 3-PRP! (4.9436s+0.0011s)
135^13431+134 is 5-PRP! (4.9491s+0.0010s)
135^13431+134 is 7-PRP! (4.9396s+0.0012s)
135^13431+134 is 11-PRP! (4.9512s+0.0012s)

Primality testing 135^13431+134 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 17, base 3+sqrt(17)
Calling N+1 BLS with factored part 0.16% and helper 0.01% (0.50% proof)
135^13431+134 is Fermat and Lucas PRP! (36.0779s+0.0020s)

To be completed...