Found with PFGW Version 3.7.5

4729^9030-9030^4729 is 2-PRP! (21.3828s+0.0017s)
4729^9030-9030^4729 is 3-PRP! (22.3698s+0.0040s)
4729^9030-9030^4729 is 5-PRP! (21.5119s+0.0014s)
4729^9030-9030^4729 is 7-PRP! (21.7696s+0.0015s)
4729^9030-9030^4729 is 11-PRP! (21.3166s+0.0015s)

Primality testing 4729^9030-9030^4729 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N-1 test using base 13
Running N+1 test using discriminant 19, base 9+sqrt(19)
Calling N-1 BLS with factored part 0.04% and helper 0.03% (0.14% proof)
4729^9030-9030^4729 is Fermat and Lucas PRP! (130.7577s+0.0025s)

To be completed...