Found with PFGW Version 3.7.5

4673^9768-9768^4673 is 2-PRP! (23.7785s+0.0022s)
4673^9768-9768^4673 is 3-PRP! (23.4671s+0.0015s)
4673^9768-9768^4673 is 5-PRP! (23.7672s+0.0015s)
4673^9768-9768^4673 is 7-PRP! (23.0903s+0.0015s)
4673^9768-9768^4673 is 11-PRP! (23.1228s+0.0015s)

Primality testing 4673^9768-9768^4673 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 41, base 1+sqrt(41)
Calling N-1 BLS with factored part 0.05% and helper 0.00% (0.15% proof)
4673^9768-9768^4673 is Fermat and Lucas PRP! (115.5799s+0.0025s)

To be completed...