Found with PFGW Version 3.5.2

1729^3552-3552^1729 is 2-PRP! (13.1150s+0.0048s)
1729^3552-3552^1729 is 3-PRP! (13.1227s+0.0012s)
1729^3552-3552^1729 is 5-PRP! (20.0838s+0.0013s)
1729^3552-3552^1729 is 7-PRP! (24.9164s+0.0011s)
1729^3552-3552^1729 is 11-PRP! (13.0447s+0.0012s)

Primality testing 1729^3552-3552^1729 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 23
Running N+1 test using discriminant 31, base 10+sqrt(31)
Calling N-1 BLS with factored part 0.12% and helper 0.11% (0.48% proof)
1729^3552-3552^1729 is Fermat and Lucas PRP! (129.6550s+0.0047s)

To be completed...