Found with PFGW Version 3.4.8

36^18942-35 is 2-PRP! (34.4296s+0.0050s)
36^18942-35 is 3-PRP! (58.7700s+0.0062s)
36^18942-35 is 5-PRP! (62.0227s+0.0064s)
36^18942-35 is 7-PRP! (63.7186s+0.0072s)
36^18942-35 is 11-PRP! (61.6823s+0.0067s)

Primality testing 36^18942-35 [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 0.22% and helper 0.03% (0.68% proof)
36^18942-35 is Fermat and Lucas PRP! (409.2797s+0.0101s)

To be completed...