Found with PFGW Version 3.7.5

3980^5747-5747^3980 is 2-PRP! (15.2190s+0.0020s)
3980^5747-5747^3980 is 3-PRP! (15.3423s+0.0018s)
3980^5747-5747^3980 is 5-PRP! (15.6440s+0.0027s)
3980^5747-5747^3980 is 7-PRP! (16.9285s+0.0028s)
3980^5747-5747^3980 is 11-PRP! (15.1861s+0.0026s)

Primality testing 3980^5747-5747^3980 [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 13, base 2+sqrt(13)
Calling N+1 BLS with factored part 0.02% and helper 0.00% (0.07% proof)
3980^5747-5747^3980 is Fermat and Lucas PRP! (90.6701s+0.0040s)

To be completed...