Found with PFGW Version 3.7.5

3225^8624-8624^3225 is 2-PRP! (15.9881s+0.0013s)
3225^8624-8624^3225 is 3-PRP! (15.9820s+0.0012s)
3225^8624-8624^3225 is 5-PRP! (16.0151s+0.0019s)
3225^8624-8624^3225 is 7-PRP! (15.9192s+0.0012s)
3225^8624-8624^3225 is 11-PRP! (15.9604s+0.0013s)

Primality testing 3225^8624-8624^3225 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 17
Running N-1 test using base 19
Running N-1 test using base 41
Running N+1 test using discriminant 71, base 17+sqrt(71)
Calling N-1 BLS with factored part 0.06% and helper 0.00% (0.20% proof)
3225^8624-8624^3225 is Fermat and Lucas PRP! (111.8614s+0.0021s)

To be completed...