Found with PFGW Version 3.7.5

2389^10484-10484^2389 is 2-PRP! (22.4375s+0.0022s)
2389^10484-10484^2389 is 3-PRP! (22.4601s+0.0025s)
2389^10484-10484^2389 is 5-PRP! (22.3086s+0.0023s)
2389^10484-10484^2389 is 7-PRP! (22.4369s+0.0032s)
2389^10484-10484^2389 is 11-PRP! (22.4250s+0.0022s)

Primality testing 2389^10484-10484^2389 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.08% and helper 0.01% (0.26% proof)
2389^10484-10484^2389 is Fermat and Lucas PRP! (115.0212s+0.0024s)

To be completed...