Found with PFGW Version 3.6.0

4755^6376-6376^4755 is 2-PRP! (21.7885s+0.0022s)
4755^6376-6376^4755 is 3-PRP! (27.3184s+0.0032s)
4755^6376-6376^4755 is 5-PRP! (26.1117s+0.0031s)
4755^6376-6376^4755 is 7-PRP! (25.4913s+0.0023s)
4755^6376-6376^4755 is 11-PRP! (25.8651s+0.0021s)

Primality testing 4755^6376-6376^4755 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N+1 BLS with factored part 0.06% and helper 0.01% (0.18% proof)
4755^6376-6376^4755 is Fermat and Lucas PRP! (125.0163s+0.0038s)

To be completed...