Found with PFGW Version 3.6.0

7577^10068-10068^7577 is 2-PRP! (78.3277s+0.0050s)
7577^10068-10068^7577 is 3-PRP! (80.8798s+0.0052s)
7577^10068-10068^7577 is 5-PRP! (79.9771s+0.0048s)
7577^10068-10068^7577 is 7-PRP! (79.3008s+0.0053s)
7577^10068-10068^7577 is 11-PRP! (77.9769s+0.0036s)

Primality testing 7577^10068-10068^7577 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 19
Running N+1 test using discriminant 29, base 3+sqrt(29)
Calling N+1 BLS with factored part 0.06% and helper 0.01% (0.18% proof)
7577^10068-10068^7577 is Fermat and Lucas PRP! (449.2073s+0.0036s)

To be completed...