Found with PFGW Version 3.6.0

4398^4669-4669^4398 is 2-PRP! (12.9568s+0.0028s)
4398^4669-4669^4398 is 3-PRP! (13.0369s+0.0040s)
4398^4669-4669^4398 is 5-PRP! (13.6313s+0.0046s)
4398^4669-4669^4398 is 7-PRP! (13.3945s+0.0054s)
4398^4669-4669^4398 is 11-PRP! (12.7902s+0.0053s)

Primality testing 4398^4669-4669^4398 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N+1 BLS with factored part 0.02% and helper 0.01% (0.08% proof)
4398^4669-4669^4398 is Fermat and Lucas PRP! (61.6739s+0.0038s)

To be completed...