Found with PFGW Version 3.6.0

4183^5048-5048^4183 is 2-PRP! (13.6849s+0.0019s)
4183^5048-5048^4183 is 3-PRP! (14.4247s+0.0020s)
4183^5048-5048^4183 is 5-PRP! (14.4623s+0.0025s)
4183^5048-5048^4183 is 7-PRP! (14.2070s+0.0019s)
4183^5048-5048^4183 is 11-PRP! (14.5661s+0.0020s)

Primality testing 4183^5048-5048^4183 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 7+sqrt(11)
Calling N+1 BLS with factored part 0.07% and helper 0.01% (0.23% proof)
4183^5048-5048^4183 is Fermat and Lucas PRP! (68.5676s+0.0043s)

To be completed...