Found with PFGW Version 3.6.0

3162^3733-3733^3162 is 2-PRP! (6.7443s+0.0022s)
3162^3733-3733^3162 is 3-PRP! (6.8218s+0.0035s)
3162^3733-3733^3162 is 5-PRP! (6.8312s+0.0025s)
3162^3733-3733^3162 is 7-PRP! (6.8143s+0.0024s)
3162^3733-3733^3162 is 11-PRP! (6.8206s+0.0020s)

Primality testing 3162^3733-3733^3162 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N-1 BLS with factored part 0.13% and helper 0.06% (0.45% proof)
3162^3733-3733^3162 is Fermat and Lucas PRP! (38.4954s+0.0022s)

To be completed...