Found with PFGW Version 3.8.0

6750^12509-12509^6750 is 2-PRP! (42.9190s+0.0048s)
6750^12509-12509^6750 is 3-PRP! (43.2130s+0.0045s)
6750^12509-12509^6750 is 5-PRP! (42.7266s+0.0046s)
6750^12509-12509^6750 is 7-PRP! (42.9411s+0.0045s)
6750^12509-12509^6750 is 11-PRP! (43.1913s+0.0050s)

Primality testing 6750^12509-12509^6750 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.04% and helper 0.02% (0.15% proof)
6750^12509-12509^6750 is Fermat and Lucas PRP! (247.0083s+0.0043s)

To be completed...