Found with PFGW Version 3.7.5

3261^10162-10162^3261 is 2-PRP! (53.0758s+0.0057s)
3261^10162-10162^3261 is 3-PRP! (47.6074s+0.0050s)
3261^10162-10162^3261 is 5-PRP! (48.7514s+0.0049s)
3261^10162-10162^3261 is 7-PRP! (54.9656s+0.0066s)
3261^10162-10162^3261 is 11-PRP! (51.3457s+0.0067s)

Primality testing 3261^10162-10162^3261 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 19, base 2+sqrt(19)
Calling N+1 BLS with factored part 0.02% and helper 0.02% (0.09% proof)
3261^10162-10162^3261 is Fermat and Lucas PRP! (237.6532s+0.0059s)

To be completed...