Found with PFGW Version 3.7.5

4475^8048-8048^4475 is 2-PRP! (33.4125s+0.0038s)
4475^8048-8048^4475 is 3-PRP! (35.2814s+0.0053s)
4475^8048-8048^4475 is 5-PRP! (30.7682s+0.0025s)
4475^8048-8048^4475 is 7-PRP! (35.3581s+0.0044s)
4475^8048-8048^4475 is 11-PRP! (28.6612s+0.0021s)

Primality testing 4475^8048-8048^4475 [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 0.03% and helper 0.01% (0.12% proof)
4475^8048-8048^4475 is Fermat and Lucas PRP! (211.2535s+0.0059s)

To be completed...