Found with PFGW Version 3.7.5

5437^8700-8700^5437 is 2-PRP! (19.1397s+0.0014s)
5437^8700-8700^5437 is 3-PRP! (18.2712s+0.0018s)
5437^8700-8700^5437 is 5-PRP! (18.3164s+0.0014s)
5437^8700-8700^5437 is 7-PRP! (18.3106s+0.0014s)
5437^8700-8700^5437 is 11-PRP! (18.2824s+0.0014s)

Primality testing 5437^8700-8700^5437 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N-1 test using base 13
Running N+1 test using discriminant 37, base 2+sqrt(37)
Calling N-1 BLS with factored part 0.01% and helper 0.00% (0.04% proof)
5437^8700-8700^5437 is Fermat and Lucas PRP! (123.5953s+0.0023s)

To be completed...