Found with PFGW Version 3.6.0

4704^5515-5515^4704 is 2-PRP! (19.3222s+0.0022s)
4704^5515-5515^4704 is 3-PRP! (19.2955s+0.0028s)
4704^5515-5515^4704 is 5-PRP! (19.2535s+0.0024s)
4704^5515-5515^4704 is 7-PRP! (19.3631s+0.0025s)
4704^5515-5515^4704 is 11-PRP! (19.2144s+0.0021s)

Primality testing 4704^5515-5515^4704 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 17
Running N+1 test using discriminant 31, base 1+sqrt(31)
Calling N+1 BLS with factored part 0.08% and helper 0.04% (0.27% proof)
4704^5515-5515^4704 is Fermat and Lucas PRP! (91.9940s+0.0021s)

To be completed...