Found with PFGW Version 3.7.5

1437^6886-6886^1437 is 2-PRP! (16.3118s+0.0023s)
1437^6886-6886^1437 is 3-PRP! (16.9186s+0.0023s)
1437^6886-6886^1437 is 5-PRP! (17.1255s+0.0028s)
1437^6886-6886^1437 is 7-PRP! (16.2949s+0.0020s)
1437^6886-6886^1437 is 11-PRP! (17.1082s+0.0027s)

Primality testing 1437^6886-6886^1437 [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 0.05% and helper 0.03% (0.19% proof)
1437^6886-6886^1437 is Fermat and Lucas PRP! (81.2264s+0.0035s)

To be completed...