Found with PFGW Version 3.7.5

4613^5190-5190^4613 is 2-PRP! (13.4292s+0.0021s)
4613^5190-5190^4613 is 3-PRP! (12.6398s+0.0027s)
4613^5190-5190^4613 is 5-PRP! (12.4456s+0.0021s)
4613^5190-5190^4613 is 7-PRP! (12.2115s+0.0022s)
4613^5190-5190^4613 is 11-PRP! (12.6392s+0.0021s)

Primality testing 4613^5190-5190^4613 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 17
Running N-1 test using base 19
Running N-1 test using base 23
Running N+1 test using discriminant 47, base 1+sqrt(47)
Calling N+1 BLS with factored part 0.08% and helper 0.01% (0.26% proof)
4613^5190-5190^4613 is Fermat and Lucas PRP! (85.6440s+0.0043s)

To be completed...