Found with PFGW Version 3.7.5

3164^10875-10875^3164 is 2-PRP! (26.8622s+0.0022s)
3164^10875-10875^3164 is 3-PRP! (26.1987s+0.0024s)
3164^10875-10875^3164 is 5-PRP! (26.4394s+0.0022s)
3164^10875-10875^3164 is 7-PRP! (26.1242s+0.0024s)
3164^10875-10875^3164 is 11-PRP! (26.4808s+0.0021s)

Primality testing 3164^10875-10875^3164 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N-1 test using base 19
Running N+1 test using discriminant 29, base 1+sqrt(29)
Calling N-1 BLS with factored part 0.03% and helper 0.01% (0.09% proof)
3164^10875-10875^3164 is Fermat and Lucas PRP! (177.1721s+0.0023s)

To be completed...