Found with PFGW Version 3.7.5

4233^5206-5206^4233 is 2-PRP! (12.4729s+0.0030s)
4233^5206-5206^4233 is 3-PRP! (12.5425s+0.0025s)
4233^5206-5206^4233 is 5-PRP! (12.5393s+0.0026s)
4233^5206-5206^4233 is 7-PRP! (12.2251s+0.0025s)
4233^5206-5206^4233 is 11-PRP! (12.2757s+0.0022s)

Primality testing 4233^5206-5206^4233 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N+1 BLS with factored part 0.04% and helper 0.02% (0.13% proof)
4233^5206-5206^4233 is Fermat and Lucas PRP! (63.3746s+0.0049s)

To be completed...