Found with PFGW Version 3.6.0

4112^6761-6761^4112 is 2-PRP! (23.8817s+0.0022s)
4112^6761-6761^4112 is 3-PRP! (23.8465s+0.0021s)
4112^6761-6761^4112 is 5-PRP! (23.8451s+0.0020s)
4112^6761-6761^4112 is 7-PRP! (23.8472s+0.0021s)
4112^6761-6761^4112 is 11-PRP! (23.8174s+0.0021s)

Primality testing 4112^6761-6761^4112 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 7
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N+1 BLS with factored part 0.04% and helper 0.04% (0.16% proof)
4112^6761-6761^4112 is Fermat and Lucas PRP! (138.5883s+0.0034s)

To be completed...