Found with PFGW Version 3.7.5

2070^8597-8597^2070 is 2-PRP! (15.0140s+0.0025s)
2070^8597-8597^2070 is 3-PRP! (14.9887s+0.0012s)
2070^8597-8597^2070 is 5-PRP! (15.0693s+0.0013s)
2070^8597-8597^2070 is 7-PRP! (14.9745s+0.0012s)
2070^8597-8597^2070 is 11-PRP! (15.0259s+0.0011s)

Primality testing 2070^8597-8597^2070 [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 0.03% and helper 0.02% (0.11% proof)
2070^8597-8597^2070 is Fermat and Lucas PRP! (74.7000s+0.0020s)

To be completed...