Found with PFGW Version 3.6.0

4628^6193-6193^4628 is 2-PRP! (20.9513s+0.0021s)
4628^6193-6193^4628 is 3-PRP! (24.8303s+0.0029s)
4628^6193-6193^4628 is 5-PRP! (26.4611s+0.0030s)
4628^6193-6193^4628 is 7-PRP! (25.6313s+0.0021s)
4628^6193-6193^4628 is 11-PRP! (25.0989s+0.0021s)

Primality testing 4628^6193-6193^4628 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 8+sqrt(7)
Calling N-1 BLS with factored part 0.05% and helper 0.02% (0.18% proof)
4628^6193-6193^4628 is Fermat and Lucas PRP! (118.8497s+0.0035s)

To be completed...