Found with PFGW Version 3.6.0

4341^6832-6832^4341 is 2-PRP! (24.2141s+0.0025s)
4341^6832-6832^4341 is 3-PRP! (24.2617s+0.0021s)
4341^6832-6832^4341 is 5-PRP! (24.2090s+0.0023s)
4341^6832-6832^4341 is 7-PRP! (24.2203s+0.0022s)
4341^6832-6832^4341 is 11-PRP! (24.2545s+0.0022s)

Primality testing 4341^6832-6832^4341 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.07% and helper 0.04% (0.24% proof)
4341^6832-6832^4341 is Fermat and Lucas PRP! (115.7900s+0.0038s)

To be completed...