Found with PFGW Version 3.7.5

2801^8238-8238^2801 is 2-PRP! (26.0177s+0.0045s)
2801^8238-8238^2801 is 3-PRP! (25.2050s+0.0018s)
2801^8238-8238^2801 is 5-PRP! (25.2590s+0.0019s)
2801^8238-8238^2801 is 7-PRP! (28.6973s+0.0041s)
2801^8238-8238^2801 is 11-PRP! (26.3234s+0.0019s)

Primality testing 2801^8238-8238^2801 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N-1 BLS with factored part 0.03% and helper 0.00% (0.09% proof)
2801^8238-8238^2801 is Fermat and Lucas PRP! (128.7845s+0.0039s)

To be completed...