Found with PFGW Version 3.7.5

5201^8000-8000^5201 is 2-PRP! (24.8212s+0.0022s)
5201^8000-8000^5201 is 3-PRP! (26.7939s+0.0024s)
5201^8000-8000^5201 is 5-PRP! (24.6902s+0.0022s)
5201^8000-8000^5201 is 7-PRP! (24.8808s+0.0021s)
5201^8000-8000^5201 is 11-PRP! (25.3342s+0.0021s)

Primality testing 5201^8000-8000^5201 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 19, base 2+sqrt(19)
Calling N-1 BLS with factored part 0.07% and helper 0.00% (0.21% proof)
5201^8000-8000^5201 is Fermat and Lucas PRP! (128.7552s+0.0033s)

To be completed...