Found with PFGW Version 3.7.5

5420^7453-7453^5420 is 2-PRP! (23.2302s+0.0023s)
5420^7453-7453^5420 is 3-PRP! (22.8794s+0.0023s)
5420^7453-7453^5420 is 5-PRP! (22.8170s+0.0023s)
5420^7453-7453^5420 is 7-PRP! (22.8192s+0.0023s)
5420^7453-7453^5420 is 11-PRP! (23.0790s+0.0020s)

Primality testing 5420^7453-7453^5420 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 11
Running N+1 test using discriminant 23, base 2+sqrt(23)
Calling N+1 BLS with factored part 0.06% and helper 0.01% (0.18% proof)
5420^7453-7453^5420 is Fermat and Lucas PRP! (141.8646s+0.0039s)

To be completed...