Found with PFGW Version 3.6.0

4330^6783-6783^4330 is 2-PRP! (24.0203s+0.0039s)
4330^6783-6783^4330 is 3-PRP! (24.0273s+0.0038s)
4330^6783-6783^4330 is 5-PRP! (24.0391s+0.0038s)
4330^6783-6783^4330 is 7-PRP! (24.0850s+0.0037s)
4330^6783-6783^4330 is 11-PRP! (24.1490s+0.0035s)

Primality testing 4330^6783-6783^4330 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N-1 BLS with factored part 0.03% and helper 0.01% (0.09% proof)
4330^6783-6783^4330 is Fermat and Lucas PRP! (138.6690s+0.0039s)

To be completed...