Found with PFGW Version 3.7.5

1725^6514-6514^1725 is 2-PRP! (17.3428s+0.0020s)
1725^6514-6514^1725 is 3-PRP! (16.8524s+0.0025s)
1725^6514-6514^1725 is 5-PRP! (18.3629s+0.0025s)
1725^6514-6514^1725 is 7-PRP! (19.9681s+0.0029s)
1725^6514-6514^1725 is 11-PRP! (17.1012s+0.0030s)

Primality testing 1725^6514-6514^1725 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
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 0.02% and helper 0.01% (0.07% proof)
1725^6514-6514^1725 is Fermat and Lucas PRP! (99.9652s+0.0046s)

To be completed...