Found with PFGW Version 3.6.0

4431^4630-4630^4431 is 2-PRP! (13.0664s+0.0026s)
4431^4630-4630^4431 is 3-PRP! (12.8184s+0.0025s)
4431^4630-4630^4431 is 5-PRP! (12.8551s+0.0024s)
4431^4630-4630^4431 is 7-PRP! (12.8725s+0.0023s)
4431^4630-4630^4431 is 11-PRP! (12.8723s+0.0026s)

Primality testing 4431^4630-4630^4431 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 8+sqrt(11)
Calling N-1 BLS with factored part 0.05% and helper 0.03% (0.19% proof)
4431^4630-4630^4431 is Fermat and Lucas PRP! (61.4349s+0.0038s)

To be completed...