Found with PFGW Version 3.7.5

2009^7104-7104^2009 is 2-PRP! (18.4267s+0.0026s)
2009^7104-7104^2009 is 3-PRP! (18.2207s+0.0019s)
2009^7104-7104^2009 is 5-PRP! (20.9245s+0.0025s)
2009^7104-7104^2009 is 7-PRP! (22.6559s+0.0029s)
2009^7104-7104^2009 is 11-PRP! (24.6274s+0.0027s)

Primality testing 2009^7104-7104^2009 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 17
Running N+1 test using discriminant 23, base 8+sqrt(23)
Calling N-1 BLS with factored part 0.05% and helper 0.03% (0.18% proof)
2009^7104-7104^2009 is Fermat and Lucas PRP! (147.9888s+0.0032s)

To be completed...