Found with PFGW Version 3.6.0

4670^10083-10083^4670 is 2-PRP! (63.5525s+0.0052s)
4670^10083-10083^4670 is 3-PRP! (65.4319s+0.0050s)
4670^10083-10083^4670 is 5-PRP! (65.4001s+0.0050s)
4670^10083-10083^4670 is 7-PRP! (65.5271s+0.0039s)
4670^10083-10083^4670 is 11-PRP! (65.5275s+0.0051s)

Primality testing 4670^10083-10083^4670 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N+1 test using discriminant 29, base 1+sqrt(29)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.10% proof)
4670^10083-10083^4670 is Fermat and Lucas PRP! (366.9480s+0.0062s)

To be completed...