Found with PFGW Version 3.8.0

5245^11094-11094^5245 is 2-PRP! (34.8889s+0.0042s)
5245^11094-11094^5245 is 3-PRP! (34.8980s+0.0044s)
5245^11094-11094^5245 is 5-PRP! (35.3132s+0.0073s)
5245^11094-11094^5245 is 7-PRP! (35.2974s+0.0110s)
5245^11094-11094^5245 is 11-PRP! (34.8028s+0.0048s)

Primality testing 5245^11094-11094^5245 [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 base 17
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N-1 BLS with factored part 0.04% and helper 0.02% (0.15% proof)
5245^11094-11094^5245 is Fermat and Lucas PRP! (243.5035s+0.0059s)

To be completed...