Found with PFGW Version 3.7.5

5741^9212-9212^5741 is 2-PRP! (22.2934s+0.0025s)
5741^9212-9212^5741 is 3-PRP! (22.2718s+0.0024s)
5741^9212-9212^5741 is 5-PRP! (22.2604s+0.0025s)
5741^9212-9212^5741 is 7-PRP! (22.2523s+0.0025s)
5741^9212-9212^5741 is 11-PRP! (22.3081s+0.0027s)

Primality testing 5741^9212-9212^5741 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 8+sqrt(11)
Calling N-1 BLS with factored part 0.04% and helper 0.01% (0.14% proof)
5741^9212-9212^5741 is Fermat and Lucas PRP! (111.0449s+0.0029s)

To be completed...