Found with PFGW Version 3.7.5

3668^5475-5475^3668 is 2-PRP! (12.6484s+0.0026s)
3668^5475-5475^3668 is 3-PRP! (14.7379s+0.0027s)
3668^5475-5475^3668 is 5-PRP! (16.3556s+0.0044s)
3668^5475-5475^3668 is 7-PRP! (12.5144s+0.0032s)
3668^5475-5475^3668 is 11-PRP! (13.4297s+0.0025s)

Primality testing 3668^5475-5475^3668 [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 0.03% and helper 0.00% (0.09% proof)
3668^5475-5475^3668 is Fermat and Lucas PRP! (73.3331s+0.0051s)

To be completed...