Found with PFGW Version 3.7.5

3169^10424-10424^3169 is 2-PRP! (24.0167s+0.0015s)
3169^10424-10424^3169 is 3-PRP! (23.2382s+0.0016s)
3169^10424-10424^3169 is 5-PRP! (23.1015s+0.0015s)
3169^10424-10424^3169 is 7-PRP! (23.0895s+0.0015s)
3169^10424-10424^3169 is 11-PRP! (22.9521s+0.0015s)

Primality testing 3169^10424-10424^3169 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.03% and helper 0.02% (0.09% proof)
3169^10424-10424^3169 is Fermat and Lucas PRP! (120.2078s+0.0035s)

To be completed...