Found with PFGW Version 3.6.0

3629^6452-6452^3629 is 2-PRP! (22.4984s+0.0022s)
3629^6452-6452^3629 is 3-PRP! (22.6282s+0.0026s)
3629^6452-6452^3629 is 5-PRP! (22.3503s+0.0026s)
3629^6452-6452^3629 is 7-PRP! (22.5530s+0.0029s)
3629^6452-6452^3629 is 11-PRP! (22.4622s+0.0029s)

Primality testing 3629^6452-6452^3629 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.13% proof)
3629^6452-6452^3629 is Fermat and Lucas PRP! (108.9461s+0.0027s)

To be completed...