Found with PFGW Version 3.6.0

4410^4819-4819^4410 is 2-PRP! (13.4687s+0.0024s)
4410^4819-4819^4410 is 3-PRP! (13.3582s+0.0034s)
4410^4819-4819^4410 is 5-PRP! (13.3587s+0.0021s)
4410^4819-4819^4410 is 7-PRP! (13.2630s+0.0038s)
4410^4819-4819^4410 is 11-PRP! (13.3688s+0.0036s)

Primality testing 4410^4819-4819^4410 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N+1 BLS with factored part 0.04% and helper 0.00% (0.14% proof)
4410^4819-4819^4410 is Fermat and Lucas PRP! (63.9171s+0.0037s)

To be completed...