Found with PFGW Version 3.5.2

1061^3372-3372^1061 is 2-PRP! (22.9279s+0.0089s)
1061^3372-3372^1061 is 3-PRP! (23.6862s+0.0097s)
1061^3372-3372^1061 is 5-PRP! (19.3112s+0.0191s)
1061^3372-3372^1061 is 7-PRP! (21.3290s+0.0082s)
1061^3372-3372^1061 is 11-PRP! (23.7191s+0.0126s)

Primality testing 1061^3372-3372^1061 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 17, base 10+sqrt(17)
Calling N-1 BLS with factored part 0.14% and helper 0.01% (0.43% proof)
1061^3372-3372^1061 is Fermat and Lucas PRP! (122.6523s+0.0155s)

To be completed...