Found with PFGW Version 3.8.0

4209^12580-12580^4209 is 2-PRP! (38.7439s+0.0076s)
4209^12580-12580^4209 is 3-PRP! (38.5705s+0.0086s)
4209^12580-12580^4209 is 5-PRP! (39.2864s+0.0073s)
4209^12580-12580^4209 is 7-PRP! (39.9465s+0.0073s)
4209^12580-12580^4209 is 11-PRP! (39.2313s+0.0083s)

Primality testing 4209^12580-12580^4209 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N-1 BLS with factored part 0.04% and helper 0.00% (0.11% proof)
4209^12580-12580^4209 is Fermat and Lucas PRP! (191.2797s+0.0081s)

To be completed...