Found with PFGW Version 3.7.5

4733^5858-5858^4733 is 2-PRP! (15.3437s+0.0021s)
4733^5858-5858^4733 is 3-PRP! (15.3116s+0.0026s)
4733^5858-5858^4733 is 5-PRP! (18.6275s+0.0028s)
4733^5858-5858^4733 is 7-PRP! (15.3322s+0.0019s)
4733^5858-5858^4733 is 11-PRP! (16.0026s+0.0019s)

Primality testing 4733^5858-5858^4733 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N-1 BLS with factored part 0.02% and helper 0.00% (0.05% proof)
4733^5858-5858^4733 is Fermat and Lucas PRP! (78.6393s+0.0040s)

To be completed...