Found with PFGW Version 3.7.5

1290^7357-7357^1290 is 2-PRP! (29.0325s+0.0051s)
1290^7357-7357^1290 is 3-PRP! (28.3221s+0.0044s)
1290^7357-7357^1290 is 5-PRP! (31.3710s+0.0051s)
1290^7357-7357^1290 is 7-PRP! (28.2192s+0.0056s)
1290^7357-7357^1290 is 11-PRP! (28.8189s+0.0058s)

Primality testing 1290^7357-7357^1290 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 13
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.12% proof)
1290^7357-7357^1290 is Fermat and Lucas PRP! (177.7489s+0.0045s)

To be completed...