Found with PFGW Version 3.7.5

1404^7409-7409^1404 is 2-PRP! (20.5936s+0.0022s)
1404^7409-7409^1404 is 3-PRP! (21.0933s+0.0022s)
1404^7409-7409^1404 is 5-PRP! (21.3487s+0.0023s)
1404^7409-7409^1404 is 7-PRP! (20.4588s+0.0020s)
1404^7409-7409^1404 is 11-PRP! (21.3116s+0.0023s)

Primality testing 1404^7409-7409^1404 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N+1 BLS with factored part 0.05% and helper 0.01% (0.18% proof)
1404^7409-7409^1404 is Fermat and Lucas PRP! (111.1784s+0.0047s)

To be completed...