Found with PFGW Version 3.6.0

3528^6977-6977^3528 is 2-PRP! (24.2750s+0.0028s)
3528^6977-6977^3528 is 3-PRP! (24.2574s+0.0030s)
3528^6977-6977^3528 is 5-PRP! (24.1561s+0.0030s)
3528^6977-6977^3528 is 7-PRP! (24.1713s+0.0025s)
3528^6977-6977^3528 is 11-PRP! (24.2002s+0.0028s)

Primality testing 3528^6977-6977^3528 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.14% proof)
3528^6977-6977^3528 is Fermat and Lucas PRP! (117.5572s+0.0048s)

To be completed...