Found with PFGW Version 3.6.0

3975^5068-5068^3975 is 2-PRP! (13.9967s+0.0029s)
3975^5068-5068^3975 is 3-PRP! (14.4864s+0.0021s)
3975^5068-5068^3975 is 5-PRP! (13.8997s+0.0028s)
3975^5068-5068^3975 is 7-PRP! (14.6699s+0.0019s)
3975^5068-5068^3975 is 11-PRP! (14.5855s+0.0021s)

Primality testing 3975^5068-5068^3975 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.05% and helper 0.03% (0.18% proof)
3975^5068-5068^3975 is Fermat and Lucas PRP! (68.4980s+0.0039s)

To be completed...