Found with PFGW Version 3.8.0

4477^13452-13452^4477 is 2-PRP! (44.6603s+0.0099s)
4477^13452-13452^4477 is 3-PRP! (44.8789s+0.0113s)
4477^13452-13452^4477 is 5-PRP! (44.8970s+0.0111s)
4477^13452-13452^4477 is 7-PRP! (44.9219s+0.0099s)
4477^13452-13452^4477 is 11-PRP! (44.9640s+0.0137s)

Primality testing 4477^13452-13452^4477 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 17, base 10+sqrt(17)
Calling N-1 BLS with factored part 0.02% and helper 0.01% (0.08% proof)
4477^13452-13452^4477 is Fermat and Lucas PRP! (230.4496s+0.0200s)

To be completed...